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McGRAW-HILL 2009 CATALOGWelcome to <strong>McGraw</strong>-<strong>Hill</strong>’s 2009 Mathematics & Statistics Catalog. Insidethis catalog, you will find a wide selection of <strong>McGraw</strong>-<strong>Hill</strong> latest academicpublications. Apart from those published from the US, we have also includedpublications from Asia as well as from our subsidiaries in Australia, India andUnited Kingdom. For the benefit of students, widely adopted textbooks aremade available as low-priced <strong>McGraw</strong>-<strong>Hill</strong> International Editions (see titles inthis catalog tagged with “International Edition”).EXAMINATION COPY REQUESTTeaching professionals who wish to consider <strong>McGraw</strong>-<strong>Hill</strong> titles for textbookadoption may request for an examination copy for review. To request for areview copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asia(Note: All requests for examination copies are subject to approval.<strong>McGraw</strong>-<strong>Hill</strong> reserves the right to refuse any requests that do not relate toteaching).HOW TO ORDER<strong>McGraw</strong>-<strong>Hill</strong> books and International Editions are easily available throughyour local bookstores. In case of difficulty in purchasing our publications,please contact the local <strong>McGraw</strong>-<strong>Hill</strong> office (see inside back cover) or sendyour orders to:<strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)60 Tuas Basin LinkSingapore 638775Tel: (65) 6863 1580Tel: (65) 6868 8188 (Customer Service Hotline)Fax: (65) 6862 3354Email: mghasia_sg@mcgraw-hill.comA NOTE TO LIBRARIANSPlease place your orders through your regular local Library Supplier/Contractor.For further assistance, kindly contact your local <strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)representative.INVITATION TO PUBLISH<strong>McGraw</strong>-<strong>Hill</strong> is continuously sourcing for quality manuscript for the academicand professional markets in Asia for inclusion in our global publishing program.Please contact your local <strong>McGraw</strong>-<strong>Hill</strong> office or email us directly in Singaporeat asiapub@mcgraw-hill.com if you are planning to write a book.MAILING LISTIf you wish to receive up-to-date information on <strong>McGraw</strong>-<strong>Hill</strong>’s new publicationsregularly, please submit your particulars on the mailing list form (see backpages) and return to us by fax or mail.

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aris.mhhe.comWhy ARIS?<strong>McGraw</strong>-<strong>Hill</strong>’s ARIS (Assessment, Review, and Instruction System) is an electronic homework andcourse management system designed for greater fl exibility, power, and ease of use than any othersystem. Whether you are looking for a “ready-to-use, straight-out-of-the-box” system or one youcan customize to fi t your specifi c course needs, ARIS is your smart solution.Flexibility ■ Choose pre-built assignments or create your own custom contentand assignments.■■■Administer and share course sections with peers, adjuncts, parttimersand TAs.Integrate ARIS with third-party course management systems,including Blackboard/WebCT.Set Mathematical tolerance standards for accepting alternativeversions of a student’s correct answer. (This feature is onlyapplicable to ARIS disciplines that utilize algorithmically generatedquestions, i.e., Chemistry, Physics and Engineering.)Power ■ Assign problems, videos, and other learning aids as homework.■■Provide students with immediate feedback.Know exactly where your students stand with robust gradebookreporting.Ease of Use ■ Save yourself and your students time and stress by enjoying theindustry’s most intuitive user interface for electronic homework.■Help from our online technical support 24-hours a day, seven daysa week.ARIS is available for the subjects inAnatomy & PhysiologyAstronomyBiologyChemistryEngineeringEnvironmental ScienceGeographyGeologyMicrobiologyNutritionPhysicsFor More Information■ Contact your local <strong>McGraw</strong>-<strong>Hill</strong> Higher Education salesrepresentatives.■ Visit aris.mhhe.com & click on the technical support tab.

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www.blackboard.com / www.webct.comcourse management systemsCourse Management Systems like Blackboardand WebCT offer you another way to integratedigital <strong>McGraw</strong>-<strong>Hill</strong> content into your class. <strong>McGraw</strong>-<strong>Hill</strong> Online Learning Center content is formatted tosave you hours of computer inputting.How instructors use itLoad <strong>McGraw</strong>-<strong>Hill</strong> content into yourplatform and you will have a fully populatedcourse online. You can then customize thecontent to match your syllabus. You willalso be able to assign specifi c exercises,quizzes, or readings to your students.Grades are posetd automatically to let youknow how students are doing as a whole,or individually. Built-in communicationallows you to conduct live chats, overseebulletin board topics, and e-mail studentswho might need more help than others.How students use itStudents can visit your online course viathe Internet to check the coursework youhave assigned. The platform will record thestudents’ progress through your course,which will enable you to see where theyare studying most. Self-grading quizzesalso indicate exactly where studentsneed further review. The platform’scommunicaiton system encouragesstudent collaboration with features suchas live chat rooms, asynchronous bulletinboards, or traditional e-mail.

NEW TITLESDEVELOPMENT MATHEMATICS2010 Author ISBN-13 PagePrealgebra: Media Enhanced Edition, 3e Bergman 9780077299620 8Intermediate Algebra, 2e Miller 9780077281113 27DEVELOPMENT MATHEMATICS2009 Author ISBN-13 PageBasic College Mathematics, 3e Bello 9780077217884 6Intermediate Algebra, 3e Bello 9780077224806 28Introductory Algebra, 3e Bello 9780077224783 11Algebra for College Students, 5e Dugopolski 9780077224844 31Elementary Algebra, 6e Dugopolski 9780077224790 13Elementary And Intermediate Algebra, 3e Dugopolski 9780077224820 17Intermediate Algebra, 6e Dugopolski 9780077224813 25Beginning and Intermediate Algebra, 2e Messersmith 9780077224837 19Basic College Mathematics, 2e Miller 9780077281137 5Introductory Algebra: Alternate Edition (Hardback), 2e Miller 9780077281120 12MATHEMATICS SERVICE COURSES2010 Author ISBN-13 PageMath for Elementary Teachers: A Conceptual Approach, 8e Bennett 9780070172999 39Math for Elementary Teachers: An Activity Approach, 8e Bennett 9780077297947 40i

NEW TITLESPRECALCULUS2010 Author ISBN-13 PageAlgebra & Trigonometry, 2e Coburn 9780077276515 52College Algebra, 2e Coburn 9780077276492 47College Algebra Essentials, 2e Coburn 9780077297909 48PRECALCULUS2009 Author ISBN-13 PageCollege Algebra: Graphs and Models, 3e Barnett 9780077221287 49Precalculus: Graphs and Models, 3e Barnett 9780077221294 56Precalculus, 2e Coburn 9780077276508 54CALCULUS2010 Author ISBN-13 PageApplied Calculus for Business, Economics, and the Social and Life Sciences, Hoffmann 9780077297886 63Expanded EditionCalculus for Business, Economics, and the Social and Life Sciences, 10e Hoffmann 9780077292737 64HIGHER MATHEMATICS2009 Author ISBN-13 PageComplex Variables and Applications, 8e Brown 9780073051949 96Introduction to Linear Algebra DeFranza 9780073532356 84STATISTICS AND PROBABILITY2009 Author ISBN-13 PageElementary Statistics: A Step by Step Approach, 7e Bluman 9780077302351 105ii

CONTENTSDevelopmental MathematicsAlgebra for College Students. . . . . . . . . . . . . . . . . . . . . . .31Arithmetic/Basic Math .............................5Beginning Algebra ...............................11Beginning/Intermediate Algebra Combined ............17Intermediate Algebra .............................25PreAlgebra. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8Mathematics Service CoursesBusiness Mathematics. . . . . . . . . . . . . . . . . . . . . . . . . . . .38Discrete Mathematics . ...........................41Geometry ......................................37Liberal Arts Mathematics ..........................38Mathematics for Elementary Teachers ...............39Technical Mathematics . ..........................43PrecalculusCollege Algebra .................................47College Algebra with Trigonometry . .................52Precalculus . ...................................54Trigonometry ...................................51CalculusApplied/Business Calculus . .......................63Calculus and Analytic Geometry . ...................65Multi-Variable Calculus . ..........................74Single Variable Calculus . .........................69Higher MathematicsAbstract Algebra . ...............................95Advanced Engineering Mathematics .................89Advanced Geometry .............................96Combinatorics . .................................87Complex Analysis . ..............................96Differential Equations . ...........................79Differential Equations with Boundary Value Problems . . .81Funcational Analysis . ............................99Graph Theory . .................................90History of Mathematics ...........................92Introductory Analysis .............................91Linear Algebra ..................................84Logic . ........................................88Mathematical References ........................102Number Theory .................................94Numerical Analysis ..............................93Partial Differential Equations .......................82Real Analysis ..................................100Topology . ....................................101Transition to Higher Math/Foundations of Higher Math . . .83Statistics and ProbabilityAdvanced Statistics .............................113Applied Statistics - Education, Psychology andSocial Science . ...........................111Applied Statistics - Engineering ....................111Statistics and Probability (Calculus) . ...............109Statistics and Probabilitty (Non-Calculus) ............105IndexesAuthor Indexes . ...............................120Title Indexes . .................................1151

DEVELOPMENTALMATHEMATICSAlgebra for College Students..............................................................................31Arithmetic/Basic Math ...........................................................................................5Beginning Algebra ..............................................................................................11Beginning/Intermediate Algebra Combined ........................................................17Intermediate Algebra ..........................................................................................25PreAlgebra............................................................................................................83

NEW TITLESDEVELOPMENT MATHEMATICS2010 Author ISBN-13 PagePrealgebra: Media Enhanced Edition, 3e Bergman 9780077299620 8Intermediate Algebra, 2e Miller 9780077281113 27DEVELOPMENT MATHEMATICS2009 Author ISBN-13 PageBasic College Mathematics, 3e Bello 9780077217884 6Intermediate Algebra, 3e Bello 9780077224806 28Introductory Algebra, 3e Bello 9780077224783 11Algebra for College Students, 5e Dugopolski 9780077224844 31Elementary Algebra, 6e Dugopolski 9780077224790 13Elementary And Intermediate Algebra, 3e Dugopolski 9780077224820 17Intermediate Algebra, 6e Dugopolski 9780077224813 25Beginning and Intermediate Algebra, 2e Messersmith 9780077224837 19Basic College Mathematics, 2e Miller 9780077281137 5Introductory Algebra: Alternate Edition (Hardback), 2e Miller 9780077281120 124

DEVELOPMENTAL MATHEMATICSArithmetic/Basic MathNewBASIC COLLEGEMATHEMATICSSecond Editionby Julie Miller, Daytona State College-DaytonaBeach, Molly O’Neill, Daytona State College-DaytonaBeach, and Nancy Hyde2009 (October 2008) / Paper / 832 pagesISBN: 978-0-07-728113-7www.mhhe.com/mohBasic College Mathematics offers a refreshing approach to the traditionalcontent of the course. Presented in worktext format, BasicCollege Mathematics focuses on basic number skills: operations andproblem-solving with whole numbers, fractions, and decimals. Othertopics include geometry, measurement, ratios, proportions, percents,and the real number system (with an introduction to algebra). The textreflects the compassion and insight of its experienced author teamwith features developed to address the specific needs of developmentallevel students.NEW TO THIS EDITION Problem Recognition Exercises - These exercise sets are designedto helop students learn to recognize the difference betweentypes of problems which appear to be similar at first, but indeed aredifferent and require different techniques to solve. Improved Worked Out Solutions - Many multi-part sets andexamples have been split up to show to make viewing the solutionseasier. Engaging Chapter Openers - Now each chapter includes anengaging and fun puzzle for students to review and/or learn conceptsfrom that chapter. References to Classroom Exercises -- Not only does theAnnotatedInstructor’s Edition uniquely refer to the Classroom Activities,but now it references classroom exercises for each example in thetext. These exercises are highlighted in the Practice Set at the endof each section. Should an instructor choose to present all of thesehighlighted exercises, all of the objectives of that particular sectionwill have been covered. Group Activities -- Optional Group Activities have been addedto the end of each chapter.FEATURES “Translation” Exercises - Exercises identified by an icon in thetext, provide students with an opportunity to strengthen their commandof mathematical language. In these exercises, students practice convertingEnglish phrases to mathematical symbols and mathematicalsymbols to English phrases. Analyzing and Modeling Data - Charts and graphs appearthroughout the text within the examples and exercises. Studentslearn to create mathematical models in the form of functions, equations,and graphs. MathZone - This online based product will allow the instructorsand students to get all of the necessary help they need to be successfulin the course including state of the art lecture videos, eProfessorpractice, many problems from the text algorithmically generated, aunified gradebook and a course built online quickly and easily. Classroom Activities - These optional activities are exercisesthat can be worked out in class by individual students, or by a groupworking collaboratively. The Annotated Instructor’s Edition refers tothe classroom activities, which are found in the Instructor’s ResourceManual.CONTENTSChapter 1: Whole Numbers1.1 Introduction to Whole Numbers1.2 Addition of Whole Numbers and Perimeter1.3 Subtraction of Whole Numbers1.4 Rounding and Estimating1.5 Multiplication of Whole Numbers and Area1.6 Division of Whole Numbers Problem Recognition Exercises– Operations on Whole Numbers1.7 Exponents, Square Roots, and the Order of Operations1.8 Problem-Solving StrategiesChapter 2: Fractions and Mixed Numbers: Multiplication and Division2.1 Introduction to Fractions and Mixed Numbers2.2 Prime Numbers and Factorizations2.3 Simplifying Fractions to Lowest Terms2.4 Multiplication of Fractions and Applications2.5 Division of Fractions and Applications Problem Recognition Exercises– Multiplication and Division of Fractions2.6 Multiplication and Division of Mixed NumbersChapter 3: Fractions and Mixed Numbers: Addition and Subtraction3.1 Addition and Subtraction of Like Fractions3.2 Least Common Multiple and Equivalent Fractions3.3 Addition and Subtraction of Unlike Fractions3.4 Addition and Subtractions of Mixed Numbers Problem RecognitionExercises – Operations on Fractions and Mixed Numbers3.5 Order of Operations and Applications of Fractions and MixedNumbersChapter 4: Decimals4.1 Decimal Notation and Rounding4.2 Addition and Subtraction of Decimals4.3 Multiplication of Decimals4.4 Division of Decimals Problem Recognition Exercises – Operationson Decimals4.5 Fractions as Decimals4.6 Order of Operations and Applications of DecimalsChapter 5: Ratio and Proportion5.1 Ratios5.2 Rates Problem Recognition Exercises – Ratios and Rates5.3 Proportions5.4 Applications of Proportions and Similar FiguresChapter 6: Percents6.1 Percents and Their Fraction and Decimal Forms6.2 Fractions and Decimals and Their Percent Forms6.3 Percent Proportions and Applications6.4 Percent Equations and Applications Problem Recognition Exercises--Percents6.5 Applications Involving Tax and Commission6.6 Percent Increase and Decrease6.7 Simple and Compound InterestChapter 7: Measurement7.1 Converting U.S. Customary Units of Length7.2 Converting U.S. Customary Units of Time, Weight, and Capacity7.3 Metric Units of Length7.4 Metric Units of Mass and Capacity and Medical ApplicationsProblem Recognition Exercises – Conversion of Units7.5 Converting Between U.S. Customary and Metric UnitsChapter 8: Geometry8.1 Lines and Angles5

DEVELOPMENTAL MATHEMATICS8.2 Triangles and the Pythagorean Theorem8.3 Quadrilaterals, Perimeter, and Area8.4 Circles, Circumference, and AreaProblem Recognition Exercises– Perimeter, Circumference, and Area8.5 VolumeChapter 9: Introduction to Statistics9.1 Tables, Bar Graphs, Pictographs, and Line Graphs9.2 Frequency Distributions and Histograms9.3 Circle Graphs Problem Recognition Exercises – Tables andGraphs9.4 Mean, Median, and Mode9.5 Introduction to ProbabilityChapter 10: Real Numbers10.1 Real Numbers and the Real Number Line10.2 Addition of Real Numbers10.3 Subtraction of Real Numbers Problem Recognition Exercises– Addition and Subtraction of Real Numbers10.4 Multiplication and Division of Real Numbers Problem RecognitionExercises – Multiplication and Division of Real Numbers10.5 Order of OperationsChapter 11: Solving Equations11.1 Properties of Real Numbers11.2 Simplifying Expressions11.3 Addition and Subtraction Properties of Equality11.4 Multiplication and Division Properties of Equality11.5 Solving Equations with Multiple Steps Problem RecognitionExercises – Linear Equations11.6 Applications and Problem SolvingAppendixA.1 Energy and PowerA.2 Scientific NotationA.3 Rectangular Coordinate SystemNewBASIC COLLEGEMATHEMATICSThird Editionby Ignacio Bello, University Of South Florida-Tampa2009 (January 2008) / Softcover / 608 pagesISBN: 978-0-07-721788-4Browse http://www.mhhe.com/belloBasic College Mathematics will be a review of fundamental mathconcepts for some students and may break new ground for others.Nevertheless, students of all backgrounds will be delighted to find arefreshing book that appeals to all learning styles and reaches out todiverse demographics. Through down-to-earth explanations, patientskill-building, and exceptionally interesting and realistic applications,this worktext will empower students to learn and master mathematicsin the real world.NEW TO THIS EDITIONStudent friendly writing stylerealistic applications based on real data“RSTUV” problem solving procedure“Calculator Corner” boxes explaining usage of calculators section openers include page references for prerequisite material,list of objectives, and “Getting Started” applications to motivatesection content end-of-section exercise sets to include exercises keyed to objectivesand to examples, applied exercises, and “skill checkers” toconfirm/reinforce skills needed for the next section “Write On” writing exercises and end-of-chapter “ResearchQuestions” <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, online tutorial and coursemanagement system for mathematics and statistics, designed forgreater ease of use than any other system available. Instructorscan create and share courses and assignments with colleagues andadjuncts in a matter of a few clicks of a mouse. All instructor teachingresources are accessed online, as well as student assignments,questions, e-Professors, online tutoring and video lectures which aredirectly tied to text specific material. MathZone courses are customizedto your textbook, but you can edit questions and algorithms,import your own content, create announcements and due datesfor assignments. MathZone has automatic grading and reporting ofeasy-to-assign algorithmically generated homework, quizzing andtesting. Student activity within MathZone is automatically recordedand available to you through a fully integrated grade book than canbe downloaded to Excel.Go to www.mathzone.com to learn moreCONTENTS1. WHOLE NUMBERS1.1 Standard Numerals1.2 Ordering and Rounding Whole Numbers1.3 Addition1.4 Subtraction1.5 Multiplication1.6 Division1.7 Primes, Factors, and Exponents1.8 Order of Operations and Grouping Symbols1.9 Equations and Problem Solving2. FRACTIONS AND MIXED NUMBERS2.1 Fractions and Mixed Numbers2.2 Equivalent Fractions2.3 Multiplication and Division of Fractions and Mixed Numbers2.4 Addition and Subtraction of Fractions2.5 Addition and Subtraction of Mixed Numbers2.6 Order of Operations and Grouping Symbols2.7 Equations and Problem Solving3. DECIMALS3.1 Addition and Subtraction of Decimals3.2 Multiplication and Division of Decimals3.3 Fractions and Decimals3.4 Decimals, Fractions, and Order3.5 Equations and Problem Solving4. RATIO, RATE, AND PROPORTION4.1 Ratio and Proportion4.2 Rates4.3 Word Problems Involving Proportions5. PERCENT5.1 Percent Notation5.2 Percent Problems5.3 Solving Percent Problems Using Proportions5.4 Taxes, Interest, Commissions, and Discounts5.5 Applications: Percent of Increase or Decrease5.6 Consumer Credit6. STATISTICS AND GRAPHS6.1 Tables and Pictographs6.2 Bar and Line Graphs6.3 Circle Graphs (Pie Charts)6.4 Mean, Median, and Mode7. MEASUREMENT AND THE METRIC SYSTEM7.1 Linear (Length) Measures7.2 The Metric System6

DEVELOPMENTAL MATHEMATICS7.3 Converting Between American and Metric Units7.4 Converting Units of Area7.5 Capacity7.6 Weight and Temperature8. GEOMETRY8.1 Finding Perimeters8.2 Finding Areas8.3 Volume of Solids8.4 Angles and Triangles8.5 Square Roots and Pythagoras’ Theorem9. THE REAL NUMBERS9.1 Addition and Subtraction of Integers9.2 Multiplication and Division of Integers9.3 The Rational Numbers9.4 Order of Operations10. INTRODUCTION TO ALGEBRA10.1 Introduction to Algebra10.2 The Algebra of Exponents10.3 Scientific Notation10.4 Solving Linear Equations10.5 Applications: Word ProblemsInternational EditionBASIC MATHEMATICAL SKILLS WITHGEOMETRYSeventh EditionBy Donald Hutchison, Stefan Baratto and Barry Bergman of ClackamasCommunity College2008 (November 2006)ISBN: 978-0-07-330959-0ISBN: 978-0-07-110191-2 [IE]Browse http://www.mhhe.com/barattoBasic Mathematical Skills with Geometry, 7/e by Baratto/Bergmanis part of the latest offerings in the successful Streeter-HutchisonSeries in Mathematics. The seventh edition continues the hallmarkapproach of encouraging the learning of mathematics by focusing itscoverage on mastering math through practice. This worktext seeksto provide carefully detailed explanations and accessible pedagogyto introduce basic mathematical skills and put the content in context.The authors use a three-pronged approach (I. Communication, II.Pattern Recognition, and III. Problem Solving) to present the materialand stimulate critical thinking skills. Items such as Math Anxiety boxes,Check Yourself exercises, and Activities represent this approach andthe underlying philosophy of mastering math through practice. Theexercise sets have been expanded, organized, and clearly labeled.Vocational and professional-technical exercises have been addedthroughout. Repeated exposure to this consistent structure shouldhelp advance the student’s skills in relating to mathematics. The bookis designed for a one-semester basic math course and is appropriatefor lecture, learning center, laboratory, or self-paced courses. It is accompaniedby numerous useful supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’sonline homework management system, MathZone.CONTENTS1 Operations on Whole Numbers1.1 The Decimal Place-Value System1.2 Addition1.3 Subtraction1.4 Rounding, Estimation, and Order1.5 Multiplication1.6 Division1.7 Exponential Notation and the Order of Operations2 Multiplying and Dividing Fractions2.1 Prime Numbers and Divisibility2.2 Factoring Whole Numbers2.3 Fraction Basics2.4 Simplifying Fractions2.5 Multiplying Fractions2.6 Dividing Fractions3 Adding and Subtracting Fractions3.1 Adding and Subtracting Fractions with Like Denominators3.2 Common Multiples3.3 Adding and Subtracting Fractions with Unlike Denominators3.4 Adding and Subtracting Mixed Numbers3.5 Order of Operations with Fractions3.6 Estimation Applications4 Decimals4.1 Place Value and Rounding4.2 Converting Between Fractions and Decimals4.3 Adding and Subtracting Decimals4.4 Multiplying Decimals4.5 Dividing Decimals5 Ratios and Proportions5.1 Ratios5.2 Rates and Unit Pricing5.3 Proportions5.4 Solving Proportions6 Percents6.1 Writing Percents as Fractions and Decimals6.2 Writing Decimals and Fractions as Percents6.3 Identifying the Parts of a Percent Problem6.4 Solving Percent Problems7 Measurement7.1 The Units of the English System7.2 Metric Units of Length7.3 Metric Units of Weight and Volume7.4 Converting Between the English and Metric Systems8 Geometry8.1 Area and Circumference8.2 Lines and Angles8.3 Triangles8.4 Square Roots and the Pythagorean Theorem9 Data Analysis and Statistics9.1 Means, Medians, and Modes9.2 Tables, Pictographs, and Bar Graphs9.3 Line Graphs and Predictions9.4 Creating Bar Graphs and Pie Charts9.5 Describing and Summarizing Data Sets10 The Real Number System10.1 Real Numbers and Order10.2 Adding Real Numbers10.3 Subtracting Real Numbers10.4 Multiplying Real Numbers10.5 Dividing Real Numbers and the Order of Operations11 An Introduction to Algebra11.1 From Arithmetic to Algebra11.2 Evaluating Algebraic Expressions11.3 Adding and Subtracting Algebraic Expressions11.4 Using the Addition Property to Solve an Equation11.5 Using the Multiplication Property to Solve an Equation11.6 Combining the Properties to Solve EquationsINVITATION TO PUBLISH<strong>McGraw</strong>-<strong>Hill</strong> is interested inreviewing textbook proposal forpublication. Please contact yourlocal <strong>McGraw</strong>-<strong>Hill</strong> office or email toasiapub@mcgraw-hill.comVisit <strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)Website: www.mheducation.asia7

DEVELOPMENTAL MATHEMATICSSCHAUM’S A-Z MATHEMATICSBy John Berry; Ted Graham and Elizabeth Berry2004 / 288 pagesISBN: 978-0-07-141936-9A Schaum’s PublicationSchaum’s A-Z handbooks make excellent complements to coursetextbooks and test preparation guides. Ideal for ambitious high schoolseniors—especially AP students—and college freshmen, they featureconcise, thoroughly cross-referenced definitions of hundreds of keyterms and phrases that help students quickly break through the jargonbarrier. Clear explanations of key concepts, supplemented withlucid illustrations, help build mastery of theory and provide a readyreference to supplement class work.NewPreAlgebraPREALGEBRAMedia Enhanced EditionThird Editionby Barry Bergman, Clackamas Community College,and Stefan Baratto, Clackamas Community CollegeSCHAUM’S OUTLINE OF REVIEW OFELEMENTARY MATHEMATICSSecond EditionBy Barnett Rich (deceased), Philip Schmidt, State University College—New Paltz1997 / 288 pagesISBN: 978-0-07-052279-4A Schaum’s Publicationhttp://books.mcgraw-hill.com/cgi-bin/getbook.pl?isbn=0070522790&adkey=W02003CONTENTSFundamentals of Arithmetic: NumberFundamentals of Arithmetic and Introduction to CalculatorsFractionsDecimalsPercentsSigned NumbersFundamentals of Algebra: Laws and OperationsFundamentals of Algebra: Equations and FormulasRatios, Proportions, and Rates. Fundamentals of Geometry2010 (January 2009)ISBN: 978-0-07-729962-0Browse http://www.mhhe.com/hutchisonPrealgebra: Media Enhanced Edition, 3e by Baratto/Bergman is thelatest offering from authors Stefan Baratto and Barry Bergman. Thismedia enhanced edition of Prealgebra focuses on mastering maththrough practice with the integration of the ALEKS® software. ALEKShelps to remediate students who may have a lack of prerequisiteknowledge for the prealgebra course by way of an artificial intelligenceengine. ALEKS provides students with a map (pictorial graph) of theirprogress to identify mathematical skills they have mastered and skillswhere remediation is required. Icons accompany exercises in the textwhere a similar problem is available in ALEKS.NEW TO THIS EDITION Integration of Videos: In the videos, qualified teachers workthrough selected exercises from the text book, following the solutionmethodology employed in the text. These are designated with marginalicons for easy student reference. The videos can be viewed via thetext website for free, downloaded to their computers, or viewed ontheir iPod/MP3 players. ALEKS Integration: Students now have two modes of studyingPrealgebra using ALEKS. Students can use ALEKS in it’s currentmodel of taking an assessment and learning mathematics at their ownpace based on their strengths and weaknesses, or they can followalong with their instructor and master these topics at the chapter levelwhere ALEKS will use artificial intelligence to determine mastery ofthose particular topics.FEATURESCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia Significant use of signed numbers, fractions, and decimals: Afterthe introduction of signed numbers, fractions, and decimals, theseconcepts are used frequently in examples, exercises, and applications.Integrating these topics allows students to become more comfortableseeing and using them in algebra and in life. Integrated Equations Approach:This hallmark approach pairsarithmetic concepts with corresponding algebraic concepts. This allowsstudents to gradually build their confidence dealing with basicalgebra concepts and are better prepared for an introductory algebracourse. Wide Variety of Exercise Types: Extensive, graduated exercisesets including applications, challenge exercises, writing exercises,and collaborative exercises Thorough Geometry Coverage: Thorough coverage of geometryand measurement, including unit conversion were retained in this edition.The geometry chapter covers the topics that most courses need.Students who are involved in technical subject areas will especiallybenefit from studying unit conversions.8

DEVELOPMENTAL MATHEMATICS Math Anxiety: These boxes continue to provide study hints andother tips to help students succeed in math. Check Yourself Exercises: Active learning promoted throughout,especially in Check Yourself exercises after every example, with answersprovided at the end of each section for immediate feedback Proven Pedagogical Features: Prealgebra continues to provideproven tools consistently throughout each chapter to peak interest,provide reinforcement, and keep them on track:Chapter-Opening VignettesChapter ActivitiesRead Your Text exercisesRecall NotesLearning Objective ReferencesMargin NotesCumulative ReviewsCONTENTSCHAPTER 1 Whole NumbersPretest Chapter 11.1 Introduction to Whole Numbers and Place Value1.2 Addition of Whole Numbers1.3 Subtraction of Whole Numbers1.4 Rounding, Estimation, and Ordering of Whole Numbers1.5 Multiplication of Whole Numbers1.6 Division of Whole Numbers1.7 Exponents and Whole Numbers1.8 Grouping Symbols and the Order of Operations1.9 An Introduction to EquationsSummarySummary ExercisesSelf-Test for Chapter 1CHAPTER 2 Integers and Introduction to AlgebraPretest Chapter 22.1 Introduction to Integers2.2 Addition of Integers2.3 Subtraction of Integers2.4 Multiplication of Integers2.5 Division of Integers2.6 Introduction to Algebra: Variables and Expressions2.7 Evaluating Algebraic Expressions2.8 Simplifying Algebraic Expressions2.9 Introduction to Linear Equations2.10 The Addition Property of EqualitySummarySummary ExercisesSelf-Test for Chapter 2Cumulative Review for Chapters 1 to 2CHAPTER 3 Fractions and EquationsPretest Chapter 33.1 Introduction to Fractions3.2 Prime Numbers and Factorization3.3 Equivalent Fractions3.4 Multiplication and Division of Fractions3.5 The Multiplication Property of Equality3.6 Linear Equations in One VariableSummarySummary ExercisesSelf-Test for Chapter 3Cumulative Review for Chapters 1 to 3CHAPTER 4 Applications of Fractions and EquationsPretest Chapter 44.1 Addition and Subtraction of Fractions4.2 Operations on Mixed Numbers4.3 Applications Involving Fractions4.4 Equations Containing Fractions4.5 Applications of Linear Equations in One Variable4.6 Complex Fractions (optional)SummarySummary ExercisesSelf-Test for Chapter 4Cumulative Review for Chapters 1 to 4CHAPTER 5 DecimalsPretest Chapter 55.1 Introduction to Decimals, Place Value, and Rounding5.2 Addition and Subtraction of Decimals5.3 Multiplication of Decimals5.4 Division of Decimals5.5 Fractions and Decimals5.6 Equations Containing Decimals5.7 Square Roots and the Pythagorean Theorem5.8 ApplicationsSummarySummary ExercisesSelf-Test for Chapter 5Cumulative Review for Chapters 1 to 5CHAPTER 6 Ratio, Rate, and ProportionPretest Chapter 66.1 Ratios6.2 Rates6.3 Proportions6.4 Similar Triangles and Proportions6.5 Linear Measurement and ConversionSummarySummary ExercisesSelf-Test for Chapter 6Cumulative Review for Chapters 1 to 6CHAPTER 7 PercentPretest Chapter 77.1 Percents, Decimals, and Fractions7.2 Solving Percent Problems Using Proportions7.3 Solving Percent Applications Using Equations7.4 Applications: Simple and Compound Interest7.5 More Applications of PercentSummarySummary ExercisesSelf-Test for Chapter 7Cumulative Review for Chapters 1 to 7CHAPTER 8 GeometryPretest Chapter 88.1 Lines and Angles8.2 Perimeter and Circumference8.3 Area and VolumeSummarySummary ExercisesSelf-Test for Chapter 8Cumulative Review for Chapters 1 to 8CHAPTER 9 Graphing and Introduction to StatisticsPretest Chapter 99.1 Tables and Graphs of Data9.2 The Rectangular Coordinate System9.3 Linear Equations in Two Variables9.4 Mean, Median, and ModeSummarySummary ExercisesSelf-Test for Chapter 9Cumulative Review for Chapters 1 to 9CHAPTER 10 PolynomialsPretest Chapter 1010.1 Properties of Exponents10.2 Introduction to Polynomials10.3 Addition and Subtraction of Polynomials10.4 Multiplying Polynomials10.5 Introduction to Factoring PolynomialsSummarySummary ExercisesSelf-Test for Chapter 10Practice Final Exam9

DEVELOPMENTAL MATHEMATICSPREALGEBRASecond EditionBy Donald Hutchison, Barry Bergman, and Stefan Baratto, all of ClackamasCommunity College2007 (December 2005) / SoftcoverISBN: 978-0-07-325033-5 (with MathZone)Browse http://www.mhhe.com/streeterPrealgebra: An Integrated Equations Approach, 2e, by Hutchison/Bergman/Baratto extends the successful Streeter series in developmentalmathematics. This worktext utilizes an integrated equationsapproach that pairs arithmetic concepts alongside correspondingalgebraic concepts. Beginning in chapter 1, students are graduallyexposed to key algebraic concepts such as variables and equations.In this way, students gradually build their confidence dealing with basicalgebra concepts and are better prepared for an introductory algebracourse. Integers, fractions, and decimals are used frequently after theirinitial introduction, developing students’ comfort with them. Studentsalso develop valuable critical thinking skills through numerous, variedexamples and exercises that focus on real-world applications andproblem solving. The worktext is accompanied by numerous usefulsupplements, including <strong>McGraw</strong>-<strong>Hill</strong>’s online homework managementsystem, MathZone.CONTENTSCHAPTER 1 Whole NumbersPretest Chapter 11.1 Introduction to Whole Numbers, Place Value1.2 Addition of Whole Numbers1.3 Subtraction of Whole Numbers1.4 Rounding, Estimation, and Ordering of Whole Numbers1.5 Multiplication of Whole Numbers1.6 Division of Whole Numbers1.7 Exponents1.8 Order of Operations1.9 An Introduction to EquationsSummarySummary and Review ExercisesChapter TestCHAPTER 2 Integers and Introduction to AlgebraPretest Chapter 22.1 Introduction to Integers2.2 Addition of Integers2.3 Subtraction of Integers2.4 Multiplication of Integers2.5 Division of Integers2.6 Introduction to Algebra: Variables and Expressions2.7 Evaluating Algebraic Expressions2.8 Simplifying Algebraic Expressions2.9 Introduction to Linear Equations2.10 The Addition Property of EqualitySummarySummary and Review ExercisesChapter TestCumulative Test for Chapters 1 and 2CHAPTER 3 Fractions and EquationsPretest Chapter 33.1 Introduction to Fractions3.2 Prime Numbers and Factorization3.3 Equivalent Fractions3.4 Multiplication and Division of Fractions3.5 The Multiplication Property of Equality3.6 Linear Equations in One VariableSummarySummary and Review ExercisesChapter TestCumulative Test for Chapters 1 to 3CHAPTER 4 Applications of Fractions and EquationsPretest Chapter 44.1 Addition and Subtraction of Fractions4.2 Operations on Mixed Numbers4.3 Complex Fractions4.4 Applications Involving Fractions4.5 Equations Containing Fractions4.6 Applications of Linear Equations in One VariableSummarySummary and Review ExercisesChapter Test Cumulative Test for Chapters 1 to 4CHAPTER 5 DecimalsPretest Chapter 55.1 Introduction to Decimals, Place Value, and Rounding5.2 Addition and Subtraction of Decimals5.3 Multiplication of Decimals5.4 Division of Decimals5.5 Fractions and Decimals5.6 Equations Containing Decimals5.7 Square Roots and the Pythagorean Theorem5.8 ApplicationsSummarySummary and Review ExercisesChapter Test Cumulative Test for Chapters 1 to 5CHAPTER 6 Ratio, Rate, and ProportionPretest Chapter 66.1 Ratios6.2 Rates6.3 Proportions6.4 Similar Triangles and Proportions6.5 More Applications of Proportion6.6 Linear Measurement and ConversionSummarySummary and Review ExercisesChapter Test Cumulative Test for Chapters 1 to 6CHAPTER 7 PercentPretest Chapter 77.1 Percents, Decimals, and Fractions7.2 Solving Percent Problems Using Proportions7.3 Solving Percent Applications Using Equations7.4 Applications: Simple and Compound Interest7.5 More Applications of Percent SummarySummary and Review ExercisesChapter Test Cumulative Test for Chapters 1 to 7CHAPTER 8 GeometryPretest Chapter 88.1 Lines and Angles8.2 Perimeter and Circumference8.3 Area and VolumeSummarySummary and Review ExercisesChapter Test. Cumulative Test for Chapters 1 to 8CHAPTER 9 Graphing and Introduction to StatisticsPretest Chapter 99.1 Circle Graphs9.2 Pictographs, Bar Graphs, and Line Graphs9.3 The Rectangular Coordinate System9.4 Linear Equations in Two Variables9.5 Mean, Median, and ModeSummarySummary and Review ExercisesChapter Test. Cumulative Test for Chapters 1 to 9CHAPTER 10 PolynomialsPretest Chapter 1010.1 Introduction to Polynomials10.2 Addition and Subtraction of Polynomials10.3 Multiplying Polynomials10.4 Introduction to Factoring PolynomialsSummarySummary and Review ExercisesChapter Test. Practice Final Exam Chapters 1 to 1010

DEVELOPMENTAL MATHEMATICSNewBeginning AlgebraINTRODUCTORY ALGEBRAThird EditionBy Ignacio Bello, University of South Florida-Tampa2009 (January 2008) / 800 pagesISBN: 978-0-07-722478-3http://www.mhhe.com/belloIntroductory Algebra prepares students for Intermediate Algebra bycovering fundamental algebra concepts and key concepts neededfor further study. Students of all backgrounds will be delighted to finda refreshing book that appeals to every learning style and reachesout to diverse demographics. Through down-to-earth explanations,patient skill-building, and exceptionally interesting and realistic applications,this worktext will empower students to learn and masteralgebra in the real world.NEW TO THIS EDITIONInteresting writing style with student-centric context. Paired Examples/Problems: examples are placed adjacent tosimmilar problems intended for students to obtain immediate reinforcementof the skill they have just learned. There is an abundance ofquality, easily understood examples/problems throughout the text. Realistic applications based on real data which help the studentsrelate math to their own lives. “Translate It” boxes to help students learn how to turn phrasesinto equations. Part of the RSTUV method. New “Calculator Corner” boxes explaining usage of calculatorsfound before the exercises sets. End-of-section exercise sets to include exercises keyed to objectivesand to examples, applied exercises, and “skill checkers” toconfirm/reinforce skills needed for the next section. <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, online tutorial and coursemanagement system for mathematics and statistics, designed forgreater ease of use than any other system available. Instructorscan create and share courses and assignments with colleagues andadjuncts in a matter of a few clicks of a mouse. All instructor teachingresources are accessed online, as well as student assignments, questions,e-Professors, online tutoring and video lectures which are directlytied to text specific material. MathZone courses are customized toyour textbook, but you can edit questions and algorithms, import yourown content, create announcements and due dates for assignments.MathZone has automatic grading and reporting of easy-to-assignalgorithmically generated homework, quizzing and testing. Studentactivity within MathZone is automatically recorded and available to youthrough a fully integrated grade book than can be downloaded to Excel.Go to www.mathzone.com to learn moreCONTENTSIntroductory AlgebraChapter R: Prealgebra ReviewR.1 Fractions: Building and ReducingR.2 Operations with Fractions and Mixed NumbersR.3 Decimals and PercentsChapter 1: Real Numbers and Their Properties1.1 Introduction to Algebra1.2 The Real Numbers1.3 Adding and Subtracting Real Numbers1.4 Multiplying and Dividing Real Numbers1.5 Order of Operations1.6 Properties of the Real Numbers1.7 Simplifying ExpressionsChapter 2: Equations, Problem Solving, and Inequalities2.1 The Addition and Subtraction Properties of Equality2.2 The Multiplication and Division Properties of Equality2.3 Linear Equations2.4 Problem Solving: Integer, General, and Geometry Problems2.5 Problem Solving: Motion, Mixture, and Investment Problems2.6 Formulas and Geometry Applications2.7 Properties of InequalitiesChapter 3: Graphs of Linear Equations, Inequalities, and Applications3.1 Line, Bar Graphs and Applications3.2 Graphing Linear Equations in Two Variables3.3 Graphing Lines Using Intercepts: Horizontal and Vertical Lines3.4 The Slope of a Line: Parallel and Perpendicular Lines3.5 Graphing Lines Using Points and Slopes3.6 Applications of Equations of Lines3.7 Graphing Inequalities in Two VariablesChapter 4: Exponents and Polynomials4.1 The Product, Quotient, and Power Rules for Exponents4.2 Integer Exponents4.3 Application of Exponents: Scientific Notation4.4 Polynomials: An Introduction4.5 Addition and Subtraction of Polynomials4.6 Multiplication of Polynomials4.7 Special Products of Polynomials4.8 Division of PolynomialsChapter 5: Factoring5.1 Common Factors and Grouping5.2 Factoring x^2+bx+c5.3 Factoring ax^2+bx+c, a¿05.4 Factoring Squares of Binomials5.5 A General Factoring Strategy5.6 Solving Quadratic Equations by Factoring5.7 Applications of QuadraticsChapter 6: Rational Expressions6.1 Building and Reducing Rational Expressions6.2 Multiplication and Division of Rational Expressions6.3 Addition and Subtraction of Rational Expressions6.4 Complex Fractions6.5 Solving Equations Containing Rational Expressions6.6 Ratio, Proportion, and Applications6.7 Direct and Inverse VariationChapter 7: Solving Systems of Linear Equations and Inequalities7.1 Solving Systems of Equations by Graphing7.2 Solving Systems of Equations by Substitution7.3 Solving Systems of Equations by Elimination7.4 Coin, General Motion, and Investment Problems7.5 Systems of Linear InequalitiesChapter 8: Roots and Radicals8.1 Finding Roots8.2 Multiplication and Division of Radicals8.3 Addition and Subtraction of Radicals8.4 Simplifying Radicals8.5 ApplicationsChapter 9: Quadratic Equations9.1 Solving Quadratic Equations by the Square Root Property9.2 Solving Quadratic Equations by Completing the Square9.3 Solving Quadratic Equations by the Quadratic Formula9.4 Graphing Quadratic Equations9.5 The Pythagorean Theorem and Other Applications9.6 Functions11

DEVELOPMENTAL MATHEMATICSManual.NewINTRODUCTORY ALGEBRAAlternate Edition (Hardback)Second Editionby Julie Miller, Daytona State College-DaytonaBeach, Molly O’Neill, Daytona State College-DaytonaBeach, and Nancy Hyde2009 (November 2008) / 832 pagesISBN: 978-0-07-728112-0ISBN: 978-0-07-730387-7 [Alternate Edition Hardcover]www.mhhe.com/mohIntroductory Algebra offers a refreshing approach to the traditionalcontent of the course. Presented in worktext format, IntroductoryAlgebra focuses on solving equations and inequalities, graphing,polynomials, factoring, rational expressions, and radicals. Other topicsinclude quadratic equations and an introduction to functions andcomplex numbers. The text reflects the compassion and insight ofits experienced author team with features developed to address thespecific needs of developmental level students.NEW TO THIS EDITION Problem Recognition Exercises - These exercise sets are designedto helop students learn to recognize the difference betweentypes of problems which appear to be similar at first, but indeed aredifferent and require different techniques to solve. Improved Worked Out Solutions - Many multi-part sets andexamples have been split up to show to make viewing the solutionseasier. Engaging Chapter Openers - Now each chapter includes anengaging and fun puzzle for students to review and/or learn conceptsfrom that chapter. References to Classroom Exercises -- Not only does theAnnotatedInstructor’s Edition uniquely refer to the Classroom Activities,but now it references classroom exercises for each example in thetext. These exercises are highlighted in the Practice Set at the endof each section. Should an instructor choose to present all of thesehighlighted exercises, all of the objectives of that particular sectionwill have been covered.FEATURES “Translation” Exercises - Exercises identified by an icon in thetext, provide students with an opportunity to strengthen their commandof mathematical language. In these exercises, students practice convertingEnglish phrases to mathematical symbols and mathematicalsymbols to English phrases. Analyzing and Modeling Data - Charts and graphs appearthroughout the text within the examples and exercises. Studentslearn to create mathematical models in the form of functions, equations,and graphs. MathZone - This online based product will allow the instructorsand students to get all of the necessary help they need to be successfulin the course including state of the art lecture videos, eProfessorpractice, many problems from the text algorithmically generated, aunified gradebook and a course built online quickly and easily. Classroom Activities - These optional activities are exercisesthat can be worked out in class by individual students, or by a groupworking collaboratively. The Annotated Instructor’s Edition refers tothe classroom activities, which are found in the Instructor’s Resource Group Activities -- Optional Group Activities have been addedto the end of each chapter.CONTENTSChapter 1: The Set of Real Numbers1.1 Sets of Numbers and the Real Number Line1.2 Order of Operations1.3 Addition of Real Numbers1.4 Subtraction of Real Numbers--Problem Recognition Exercises—Addition and Subtraction of Signed Numbers1.5 Multiplication and Division of Real Numbers1.6 Properties of Real Numbers and Simplifying ExpressionsChapter 2: Linear Equations and Inequalities2.1 Addition, Subtraction, Multiplication, and Division Properties ofEquality2.2 Solving Linear Equations2.3 Linear Equations: Clearing Fractions and Decimals--ProblemRecognition Exercises—Equations and Expressions2.4 Applications of Linear Equations: Introduction to Problem Solving2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Mixture Applications and Uniform Motion2.8 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line3.4 Slope-Intercept Form of a Line--Problem Recognition Exercises—LinearEquations in Two Variables3.5 Point-Slope Formula3.6 Applications of Linear Equations3.7 Introduction to FunctionsChapter 4: Systems of Linear Equations in Two Variables4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method--ProblemRecognition Exercises—Systems of Equations4.4 Applications of Linear Equations in Two Variables 4.5 LinearInequalities and Systems of Inequalities in Two VariablesChapter 5: Polynomials and Properties of Exponents5.1 Exponents: Multiplying and Dividing Common Bases5.2 More Properties of Exponents5.3 Definitions of and5.4 Scientific Notation--Problem Recognition Exercises—Propertiesof Exponents5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials5.7 Division of Polynomials--Problem Recognition Exercises—Operationson PolynomialsChapter 6: Factoring Polynomials6.1 Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form6.3 Factoring Trinomials: Trial-and-Error Method6.4 Factoring Trinomials: AC-Method6.5 Factoring Special Patterns6.6 Sum and Difference of Cubes--Problem Recognition Exercises—General Factoring Strategy6.7 Solving Equations Using the Zero Product Rule--Problem RecognitionExercises—Expressions and Polynomial Equations6.8 Applications of Quadratic EquationsChapter 7: Rational Expressions7.1 Introduction to Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions--Problem RecognitionExercises—Operations on Rational Expressions7.5 Complex Fractions7.6 Rational Equations--Problem Recognition Exercises—ComparingRational Equations and Rational Expressions12

DEVELOPMENTAL MATHEMATICS7.7 Applications of Rational Equations and Proportions7.8 VariationChapter 8: Radicals8.1 Introduction to Roots and Radicals8.2 Simplifying Radicals8.3 Addition and Subtraction of Radicals8.4 Multiplication of Radicals8.5 Division of Radicals and Rationalization--Problem RecognitionExercises—Operations on Radicals8.6 Radical Equations8.7 Rational ExponentsChapter 9: More Quadratic Equations9.1 The Square Root Property9.2 Completing the Square9.3 Quadratic Formula--Problem Recognition Exercises—SolvingQuadratic Equations9.4 Graphing Quadratic FunctionsNewELEMENTARY ALGEBRASixth EditionBy Mark Dugopolski2009 (January 2008)ISBN: 978-0-07-722479-0Browse: http://www.mhhe.com/dugopolskiElementary Algebra, 6e is part of the latest offerings in the successfulDugopolski series in mathematics. The author’s goal is to explainmathematical concepts to students in a language they can understand.In this book, students and faculty will find short, precise explanationsof terms and concepts written in understandable language. Theauthor uses concrete analogies to relate math to everyday experiences.For example, when the author introduces the CommutativeProperty of Addition, he uses a concrete analogy that “the price of ahamburger plus a Coke is the same as a Coke plus a hamburger”.Given the importance of examples within a math book, the authorhas paid close attention to the most important details for solving thegiven topic. Dugopolski includes a double cross-referencing systembetween the examples and exercise sets, so no matter which one thestudents start with, they will see the connection to the other. Finally,the author finds it important to not only provide quality, but also agood quantity of exercises and applications. The Dugopolski seriesis known for providing students and faculty with the most quantityand quality of exercises as compared to any other developmentalmath series on the market. In completing this revision, Dugopolskifeels he has developed the clearest and most concise developmentalmath series on the market, and he has done so without comprisingthe essential information every student needs to become successfulin future mathematics courses. The book is accompanied by numeroususeful supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’s online homeworkmanagement system, MathZone.NEW TO THIS EDITION Subsection heads are now in the end of section exercise sets,and section heads are now in the Chapter Review Exercises. References to page numbers on which Strategy Boxes arelocated have been inserted into the direction lines for the exerciseswhen appropriate. Study tips have been removed from the margins to give the pagesa better look. Two study tips now precede each exercise set. <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, online tutorial and coursemanagement system for mathematics and statistics, designed forgreater ease of use than any other system available. Instructorscan create and share courses and assignments with colleagues andadjuncts in a matter of a few clicks of a mouse. All instructor teachingresources are accessed online, as well as student assignments, questions,e-Professors, online tutoring and video lectures which are directlytied to text specific material. MathZone courses are customized toyour textbook, but you can edit questions and algorithms, import yourown content, create announcements and due dates for assignments.MathZone has automatic grading and reporting of easy-to-assignalgorithmically generated homework, quizzing and testing. Studentactivity within MathZone is automatically recorded and available to youthrough a fully integrated grade book than can be downloaded to Excel.Go to www.mathzone.com to learn more.CONTENTSTO THE STUDENTPREFACE1 Real Numbers and Their Properties1.1 The Real Numbers1.2 Fractions1.3 Addition and Subtraction of Real Numbers1.4 Multiplication and Division of Real Numbers1.5 Exponential Expressions and the Order of Operations1.6 Algebraic Expressions1.7 Properties of the Real Numbers1.8 Using the Properties to Simplify ExpressionsChapter 1 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 1 Test• Critical Thinking2 Linear Equations and Inequalities in One Variable 2.1 The Addition and Multiplication Properties of Equality2.2 Solving General Linear Equations2.3 More Equations2.4 Formulas2.5 Translating Verbal Expressions into Algebraic Expressions2.6 Number, Geometric, and Uniform Motion Applications2.7 Discount, Investment, and Mixture Applications2.8 Inequalities2.9 Solving Inequalities and ApplicationsChapter 2 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 2 Test• Making Connections: A review of Chapters 1-2• Critical Thinking3 Linear Equations in Two Variables and Their Graphs3.1 Graphing Lines in the Coordinate Plane3.2 Slope3.3 Equations of Lines in Slope-Intercept Form3.4 The Point-Slope Form3.5 VariationsChapter 3 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 3 Test• Making Connections: a review of Chapters 1-3• Critical Thinking4 Systems of Linear Equations and Inequalities4.1 The Graphing Method4.2 The Substitution Method4.3 The Addition Method4.4 Graphing Linear Inequalities in Two Variables13

DEVELOPMENTAL MATHEMATICS4.5 Graphing Systems of Linear InequalitiesChapter 4 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 4 Test• Making Connections: a review of Chapters 1-4• Critical Thinking5 Exponents and Polynomials5.1 The Rules of Exponents5.2 Negative Exponents and Scientific Notation5.3 Addition and Subtraction of Polynomials5.4 Multiplication of Polynomials5.5 Multiplication of Binomials5.6 Special Products5.7 Division of PolynomialsChapter 5 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 5 Test• Making Connections: a review of Chapters 1-5• Critical Thinking6 Factoring6.1 Factoring Out Common Factors6.2 Special Products and Grouping6.3 Factoring the Trinomial ax² + bx + c with a = 16.4 Factoring the Trinomial ax² + bx + c with a ¿ 16.5 The Factoring Strategy6.6 Solving Quadratic Equations by FactoringChapter 6 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 6 Test• Making Connections: a review of Chapters 1-6• Critical Thinking7 Rational Expressions7.1 Reducing Rational Expressions7.2 Multiplication and Division7.3 Finding the Least Common Denominator7.4 Addition and Subtraction7.5 Complex Fractions7.6 Solving Equations with Rational Expressions7.7 Applications of Ratios and Proportions7.8 Applications of Rational ExpressionsChapter 7 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 7 Test• Making Connections: a review of Chapters 1-7• Critical Thinking8 Powers and Roots8.1 Roots, Radicals, and Rules8.2 Simplifying Square Roots8.3 Operations with Radicals8.4 Solving Equations with Radicals and Exponents8.5 Fractional ExponentsChapter 8 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 8 Test• Making Connections: a review of Chapters 1-8• Critical Thinking9 Quadratic Equations, Parabolas, and Functions9.1 The Square Root Property and Factoring9.2 Completing the Square9.3 The Quadratic Formula9.4 Applications of Quadratic Equations9.5 Complex Numbers9.6 Graphing Parabolas9.7 Introduction to Functions9.8 Combining FunctionsChapter 9 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 9 Test• Making Connections: a review of Chapters 1-9• Critical ThinkingAppendix A: Geometry Review ExercisesAppendix B: SetsAppendix C: Final Exam Review Answers to Selected ExercisesIndexBEGINNING ALGEBRASeventh EditionBy Donald Hutchison, Stefan Baratto and Barry Bergman of ClackamasCommunity College2008 (December 2006)ISBN: 978-0-07-330960-6Browse http://www.mhhe.com/barattoBeginning Algebra, 7/e by Baratto/Bergman is part of the latest offeringsin the successful Streeter-Hutchison Series in Mathematics.The seventh edition continues the hallmark approach of encouragingthe learning of mathematics by focusing its coverage on masteringmath through practice. This worktext seeks to provide carefullydetailed explanations and accessible pedagogy to introduce basicalgebra skills and put the content in context. The authors use athree-pronged approach (I. Communication, II. Pattern Recognition,and III. Problem Solving) to present the material and stimulate criticalthinking skills. Items such as Math Anxiety boxes, Check Yourselfexercises, and Activities represent this approach and the underlyingphilosophy of mastering math through practice. The exercise setshave been expanded, organized, and clearly labeled. Vocationaland professional-technical exercises have been added throughout.Repeated exposure to this consistent structure should help advancethe student’s skills in relating to mathematics. The book is designedfor a one-semester beginning algebra course and is appropriate forlecture, learning center, laboratory, or self-paced courses. It is accompaniedby numerous useful supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’sonline homework management system, MathZone.CONTENTS0 An Arithmetic Review0.1 Prime Factorization and Least Common Multiples0.2 Factoring and Mixed Numbers0.3 Decimals and Percents0.4 Exponents and the Order of Operations0.5 Positive and Negative Numbers1 The Language of Algebra1.1 Properties of Real Numbers1.2 Adding and Subtracting Real Numbers1.3 Multiplying and Dividing Real Numbers1.4 From Arithmetic to Algebra1.5 Evaluating Algebraic Expressions1.6 Adding and Subtracting Terms1.7 Multiplying and Dividing Terms2 Equations and Inequalities2.1 Solving Equations by the Addition Property2.2 Solving Equations by the Multiplication Property2.3 Combining the Rules to Solve Equations2.4 Formulas and Problem Solving2.5 Applications of Linear Equations2.6 Inequalities--An Introduction3 Polynomials3.1 Exponents and Polynomials3.2 Negative Exponents and Scientific Notation14

DEVELOPMENTAL MATHEMATICS3.3 Adding and Subtracting Polynomials3.4 Multiplying Polynomials3.5 Dividing Polynomials4 Factoring4.1 An Introduction to Factoring4.2 Factoring Trinomials of the Form x2 + bx + c4.3 Factoring Trinomials of the Form ax2 + bx + c4.4 Difference of Squares and Perfect Square Trinomials4.5 Strategies in Factoring4.6 Solving Quadratic Equations by Factoring5 Rational Expressions5.1 Simplifying Rational Expressions5.2 Multiplying and Dividing Rational Expressions5.3 Adding and Subtracting Like Rational Expressions5.4 Adding and Subtracting Unlike Rational Expressions5.5 Complex Rational Expressions5.6 Equations Involving Rational Expressions5.7 Applications of Rational Expressions6 An Introduction to Graphing6.1 Solutions of Equations in Two Variables6.2 The Rectangular Coordinate System6.3 Graphing Linear Equations6.4 The Slope of a Line6.5 Reading Graphs7 Graphing and Inequalities7.1 The Slope-Intercept Form7.2 Parallel and Perpendicular Lines7.3 The Point-Slope Form7.4 Graphing Linear Inequalities7.5 An Introduction to Functions8 Systems of Linear Equations8.1 Systems of Linear Equations: Solving by Graphing8.2 Systems of Linear Equations: Solving by the Addition Method8.3 Systems of Linear Equations: Solving by Substitution8.4 Systems of Linear Inequalities9 Exponents and Radicals9.1 Roots and Radicals9.2 Simplifying Radical Expressions9.3 Adding and Subtracting Radicals9.4 Multiplying and Dividing Radicals9.5 Solve Radical Equations9.6 Applications of the Pythagorean Theorem10 Quadratic Equations10.1 More on Quadratic Equations10.2 Completing the Square10.3 The Quadratic Formula10.4 Graphing Quadratic EquationsCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asiaBEGINNING ALGEBRASecond EditionBy Julie Miller and Molly O’Neill of Daytona Beach Community College2008 (January 2007)ISBN: 978-0-07-331267-5www.mhhe.com/mohBuilding on its first-edition success, Beginning Algebra 2/e byMiller/O’Neill continues to offer an enlightened approach groundedin the fundamentals of classroom experience. The practice of manyinstructors in the classroom is to present examples and have theirstudents solve similar problems. This is realized through the SkillPractice Exercises that directly follow the examples in the textbook.Throughout the text, the authors have integrated many Study Tipsand Avoiding Mistakes hints, which are reflective of the commentsand instruction presented to students in the classroom. In this way,the text communicates to students, the very points their instructorsare likely to make during lecture, helping to reinforce the conceptsand provide instruction that leads students to mastery and success.The authors included in this edition, Problem-Recognition exercises,that many instructors will likely identify to be similar to worksheetsthey have personally developed for distribution to students. The intentof the Problem-Recognition exercises, is to help students overcomewhat is sometimes a natural inclination toward applying problemsolvingalgorithms that may not always be appropriate. In addition,the exercise sets have been revised to include even more core exercisesthan were present in the first edition. This permits instructorsto choose from a wealth of problems, allowing ample opportunity forstudents to practice what they learn in lecture to hone their skills anddevelop the knowledge they need to make a successful transition intoIntermediate Algebra. In this way, the book perfectly complements anylearning platform, whether traditional lecture or distance-learning; itsinstruction is so reflective of what comes from lecture, that studentswill feel as comfortable outside of class, as they do inside class withtheir instructor. For even more support, students have access to awealth of supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’s online homeworkmanagement system, MathZone.CONTENTSChapter R : ReferenceR.1 Study TipsR.2 FractionsR.3 Decimals and PercentsR.4 Introduction to GeometryChapter 1: Set of Real Numbers1.1 Sets of Numbers and the Real Number Line1.2 Order of Operations1.3 Addition of Real Numbers1.4 Subtraction of Real Numbers1.5 Multiplication and Division of Real Numbers1.6 Properties of Real Numbers and Simplifying ExpressionsChapter 2: Linear Equations and Inequalities2.1 Addition, Subtraction, Multiplication and Division Properties ofEquality2.2 Solving Linear Equations2.3 Linear Equations: Clearing Fractions and Decimals2.4 Applications of Linear Equations: Introduction to Problem Solving2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Linear InequalitiesChapter 3: Graphing Linear Equations in Two Variables3.1 Rectangular Coordinate System3.2 Linear Equations in Two Variables3.3 Slope of a Line3.4 Slope-Intercept Form of a Line3.5 Point-Slope Formula3.6 Applications of Linear EquationsChapter 4: Systems of Linear Equations and Inequalities in TwoVariables4.1 Solving Systems of Equations by the Graphing Method4.2 Solving Systems of Equations by the Substitution Method4.3 Solving Systems of Equations by the Addition Method15

DEVELOPMENTAL MATHEMATICS4.4 Applications of Linear Equations in Two Variables4.5 Linear Inequalities in Two Variables4.6 Systems of Linear Inequalities in Two VariablesChapter 5: Polynomials and Properties of Exponents5.1 Exponents: Multiplying and Dividing Common Bases5.2 More Properties of Exponents5.3 Definitions of b^0 and b^-n5.4 Scientific Notation5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials5.7 Division of PolynomialsChapter 6: Factoring Polynomials6.1 Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form x^2+ bx+ c (optional)6.3 Factoring Trinomials: Trial-and-Error Method6.4 Factoring Trinomials: AC Method6.5 Factoring Binomials6.6 General Factoring Summary6.7 Solving Equations Using the Zero Product RuleChapter 7: Rational Expressions7.1 Introduction to Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions7.5 Complex Fractions7.6 Rational Equations7.7 Applications of Rational Equations and Proportions7.8 VariationsChapter 8: Radicals8.1 Introducion to Roots and Radicals8.2 Simplifying Radicals8.3 Addition and Subtraction of Radicals8.4 Multiplication of Radicals8.5 Rationalization8.6 Radical Equations8.7 ExponentsChapter 9: Functions, Complex Numbers, and Quadratic Equations9.1 Introduction to Functions9.2 Complex Numbers9.3 The Square Root Property and Completing the Square9.4 Quadratic Formula9.5 Graphing Quadratic FunctionsBOB MILLER’S ALGEBRA FOR THECLUELESSSecond EditionBy Bob Miller, City College of the City University of New York2007 (July 2006) / 240 pagesISBN: 978-0-07-147366-8A Professional PublicationA is for Algebra-and that’s the grade you’ll pull when you use BobMiller’s simple guide to the math course every college-bound kidmust take. With eight books and more than 30 years of hard-coreclassroom experience, Bob Miller is the frustrated student’s bestfriend. He breaks down the complexities of every problem into easyto-understandpieces that any math-phobe can understand-and thisfully updated second edition of Bob Miller’s Algebra for the Cluelesscovers everything a you need to know to excel in Algebra I and II.CONTENTSTO THE STUDENTChapter 1: Natural Numbers and Introductory TermsChapter 2: Integers Plus MoreChapter 3: First-Degree EquationsChapter 4: Problems with Words: Why So Many Students HaveProblems on the SATChapter 5: FactoringChapter 6: Algebraic FractionsChapter 7: Radicals and ExponentsChapter 8: QuadraticsChapter 9: Points, Lines, and PlanesChapter 10: Odds and EndsChapter 11: Miscellaneous MiscellanyAppendix 1: Fractions, Decimals, Percents, And GraphsAppendix 2: SetsAcknowledgmentsAbout Bob Miller: In His Own WordsIndexSCHAUM’S OUTLINE OF ELEMENTARYALGEBRAThird EditionBy Barnett Rich (deceased); Philip Schmidt, State University College—New Paltz2004 / 400 pagesISBN: 978-0-07-141083-0A Schaum’s PublicationThis third edition of the perennial bestseller defines the recent changesin how the discipline is taught and introduces a new perspective onthe discipline. New material in this third edition includes:A modernized section on trigonometryAn introduction to mathematical modelingInstruction in use of the graphing calculator2,000 solved problems3,000 supplementary practice problems and more16

DEVELOPMENTAL MATHEMATICSBeginning/IntermediateAlgebra CombinedNewInternational EditionELEMENTARY ANDINTERMEDIATE ALGEBRAThird EditionBy Mark Dugopolski2009 (January 2008)ISBN: 978-0-07-722482-0ISBN: 978-0-07-128402-8 [IE]Browse: http://www.mhhe.com/dugopolskiElementary & Intermediate Algebra, 3e is part of the latest offeringsin the successful Dugopolski series in mathematics. The author’sgoal is to explain mathematical concepts to students in a languagethey can understand. In this book, students and faculty will fi nd short,precise explanations of terms and concepts written in understandablelanguage. The author uses concrete analogies to relate math toeveryday experiences. For example, when the author introduces theCommutative Property of Addition, he uses a concrete analogy that“the price of a hamburger plus a Coke is the same as a Coke plus ahamburger”. Given the importance of examples within a math book,the author has paid close attention to the most important details forsolving the given topic. Dugopolski includes a double cross-referencingsystem between the examples and exercise sets, so no matterwhich one the students start with, they will see the connection tothe other. Finally, the author fi nds it important to not only providequality, but also a good quantity of exercises and applications. TheDugopolski series is known for providing students and faculty withthe most quantity and quality of exercises as compared to any otherdevelopmental math series on the market. In completing this revision,Dugopolski feels he has developed the clearest and most concisedevelopmental math series on the market, and he has done so withoutcomprising the essential information every student needs to becomesuccessful in future mathematics courses. The book is accompaniedby numerous useful supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’s onlinehomework management system, MathZone.NEW TO THIS EDITION Subsection heads are now in the end of section exercise sets,and section heads are now in the Chapter Review Exercises. References to page numbers on which Strategy Boxes arelocated have been inserted into the direction lines for the exerciseswhen appropriate. Study tips have been removed from the margins to give the pagesa better look. Two study tips now precede each exercise set. <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, online tutorial and coursemanagement system for mathematics and statistics, designed forgreater ease of use than any other system available. Instructorscan create and share courses and assignments with colleagues andadjuncts in a matter of a few clicks of a mouse. All instructor teachingresources are accessed online, as well as student assignments, questions,e-Professors, online tutoring and video lectures which are directlytied to text specific material. MathZone courses are customized toyour textbook, but you can edit questions and algorithms, import yourown content, create announcements and due dates for assignments.MathZone has automatic grading and reporting of easy-to-assignalgorithmically generated homework, quizzing and testing. Studentactivity within MathZone is automatically recorded and available to youthrough a fully integrated grade book than can be downloaded to Excel.Go to www.mathzone.com to learn more.CONTENTSTO THE STUDENTPREFACE1 Real Numbers and Their Properties1.1 The Real Numbers1.2 Fractions1.3 Addition and Subtraction of Real Numbers1.4 Multiplication and Division of Real Numbers1.5 Exponential Expressions and the Order of Operations1.6 Algebraic Expressions1.7 Properties of the Real Numbers1.8 Using the Properties to Simplify ExpressionsChapter 1 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 1 Test• Critical Thinking2 Linear Equations and Inequalities in One Variable2.1 The Addition and Multiplication Properties of Equality2.2 Solving General Linear Equations2.3 More Equations2.4 Formulas2.5 Translating Verbal Expressions into Algebraic Expressions2.6 Number, Geometric, and Uniform Motion Applications2.7 Discount, Investment, and Mixture Applications2.8 Inequalities2.9 Solving Inequalities and ApplicationsChapter 2 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 2 Test• Making Connections: A review of Chapters 1-2• Critical Thinking3 Linear Equations and Inequalities in Two Variables3.1 Graphing Lines in the Coordinate Plane3.2 Slope3.3 Equations of Lines in Slope-Intercept Form3.4 The Point-Slope Form3.5 Variations3.6 Graphing Linear Inequalities in Two VariablesChapter 3 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 3 Test• Making Connections: a review of Chapters 1-3• Critical Thinking4 Exponents and Polynomials4.1 The Rules of Exponents4.2 Negative Exponents and Scientific Notation4.3 Addition and Subtraction of Polynomials4.4 Multiplication of Polynomials4.5 Multiplication of Binomials4.6 Special Products4.7 Division of PolynomialsChapter 4 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 4 Test• Making Connections: a review of Chapters 1-4• Critical Thinking17

DEVELOPMENTAL MATHEMATICSNewBEGINNING ANDINTERMEDIATE ALGEBRASecond EditionBy Sherri Messersmith, College of Dupage2009 (February 2008)ISBN: 978-0-07-722483-7Browse: http://www.mhhe.com/messersmithBeginning and Intermediate Algebra, 2e, by Messersmith is thefirst text in a series of future offerings in developmental mathematics.The author presents the content in bite-size pieces, focusing not onlyon how to solve mathematical concepts, but also explaining the whybehind those concepts. For students, learning mathematics is not justabout the memorization of concepts and formulas, but it is also aboutthe journey of learning how to problem solve. By breaking the sectionsdown into manageable chunks, the author has identified the coreplaces where students traditionally struggle, and then assists them inunderstanding that material to be successful moving forward. Provenpedagogical features, such as You Try problems after each example,reinforce a student’s mastery of a concept. While teaching in the classroom,Messersmith has created worksheets for each section that fallinto three categories: review worksheets/basic skills, worksheets toteach new content, and worksheets to reinforce/pull together differentconcepts. These worksheets are a great way to both enhance instructionand to give the students more tools to be successful in studyinga given topic. The author is also an extremely popular lecturer, andfinds it important to be in the video series that accompany her texts.Finally, the author finds it important to not only provide quality, butalso an abundant quantity of exercises and applications. The book isaccompanied by numerous useful supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’s online homework management system, MathZone.Messersmith – mapping the journey to mathematical success!NEW TO THIS EDITION Mid-Chapter Summary: Several chapters contain a Mid-ChapterSummary section. In keeping with the author’s philosophy of breakingsections into manageable chunks, Messersmith includes a midchaptersummary where needed to help the student to synthesize keytopics before moving onto the rest of the chapter. Worksheets: There are worksheets for each section that fallinto three categories: review worksheets/basic skills, worksheets toteach new content, and worksheets to reinforce/pull together differentconcepts. These worksheets are a great way to both enhance instructionand to give the students more tools to be successful in studying agiven topic. These will be available online through MathZone. In-Class Examples: In order to give the instructors additionalmaterial to use in the classroom, a matching In-Class Example isprovided in the margin of the AIE for every example in the book. You Try Problems: After nearly every example, there is a “YouTry” problem that mirrors that example. This provides students withthe opportunity to practice a problem similar to what the instructorhas presented before moving on to the next concept. Answers areprovided at the end of the section for immediate feedback. Chapter-Opening Vignettes: Each chapter opens with a realworldvignette to capture the student’s attention and engage them inthe upcoming material. The openers fall into five different themes forconsistency sake. Learning Objectives are clearly identified at the beginning ofeach section. The objectives then appear within the body of the text,showing when a particular objective is about to be developed. Referencesare also included within the exercise sets to help studentsquickly reference related material if they need more practice. Be Careful Boxes: There are some mistakes that are very commonfor students to make. The “Be Careful!” boxes make studentsaware of these common errors so that, hopefully, they will not makethese mistakes themselves. Using Technology Boxes: For those instructors who want tomake use of graphing calculator-related material, Using TechnologyBoxes are included at the ends of sections where relevant. Forthose instructors who don’t want to use this material, they are easilyskipped. End-of-Section Exercise: The end-of-section exercise setshave been organized similarly to the examples—they are presentedfrom the most basic to the most rigorous so that students may seehow the concepts work at the simplest level before progressing tomore difficult problems. Messersmith has incorporated interestingreal-world, up-to-date, relevant information that will appeal to studentsof all backgrounds into the applications in the book. Students haveidentified a number of the problems as interesting and fun in previoususe. Within these exercises, students and faculty will find video,calculator, and writing exercise icons. Chapter Summary: The comprehensive Summaries at the endof each chapter enable students to review important concepts. Adefinition or concept is presented, along with a related example anda page reference from the relevant section. End-of-Chapter Material: At the end of each chapter, you willfind a set of Review Exercises, a Chapter Test, and a comprehensiveCumulative Review (starting with Chapter 2.) Geometry Review: Chapter 1 includes a review of basic conceptsfrom geometry. Throughout beginning and intermediate algebracourses, students need to know these basics, but many do not. Section1.3 provides the material necessary for faculty to teach & students topractice the geometry concepts they will later in the course. The bookalso includes geometry applications where appropriate. Functions Coverage: In response to reviewer feedback, functionsare now introduced beginning in chapter 4, and then integratedin subsequent chapters as appropriate. Beginning Algebra Review Appendix: Also as a result of reviewerfeedback, Messersmith has now included a Beginning Algebrareview in an appendix to bridge the gap to Intermediate Algebra forthose who need it. It is included as an Appendix so that the instructorcan use it where best fits their curriculum. <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, online tutorial and coursemanagement system for mathematics and statistics, designed forgreater ease of use than any other system available. Instructorscan create and share courses and assignments with colleagues andadjuncts in a matter of a few clicks of a mouse. All instructor teachingresources are accessed online, as well as student assignments,questions, e-Professors, online tutoring and video lectures which aredirectly tied to text specific material. MathZone courses are customizedto your textbook, but you can edit questions and algorithms,import your own content, create announcements and due datesfor assignments. MathZone has automatic grading and reporting ofeasy-to-assign algorithmically generated homework, quizzing andtesting. Student activity within MathZone is automatically recordedand available to you through a fully integrated grade book than can bedownloaded to Excel. Go to www.mathzone.com to learn more.CONTENTSChapter 1: The Real Number System and GeometrySection 1.1 Review of FractionsSection 1.2 Exponents and Order of OperationsSection 1.3 Geometry Review19

DEVELOPMENTAL MATHEMATICSSection 1.4 Sets of Numbers and Absolute ValueSection 1.5 Addition and Subtraction of Real NumbersSection 1.6 Multiplication and Division of Real NumbersSection 1.7 Algebraic Expressions and Properties of Real NumbersChapter 2: Variables and ExponentsSection 2.1 Simplifying ExpressionsSection 2.2a The Product Rule and Power Rules for ExponentsSection 2.2b Combining the RulesSection 2.3a Integer Exponents with Real-Number BasesSection 2.3b Integer Exponents With Variable BasesSection 2.4 The Quotient RuleMid-Chapter SummarySection 2.5 Scientific NotationChapter 3: Linear Equations and InequalitiesSection 3.1 Solving Linear Equations Part ISection 3.2 Solving Linear Equations Part IISection 3.3 Applications of Linear Equations to General Problems,Consecutive Integers, and Fixed and Variable CostSection 3.4 Applications of Linear Equations to Percent Increase/Decreaseand Investment ProblemsSection 3.5 Geometry Applications and Solving Formulas for aSpecific VariableSection 3.6 Applications of Linear Equations to Proportions, d = rt,and Mixture ProblemsSection 3.7 Solving Linear Inequalities in One VariableSection 3.8 Solving Compound InequalitiesChapter 4: Linear Equations in Two VariablesSection 4.1 Introduction to Linear Equations in Two VariablesSection 4.2 Graphing by Plotting Points and Finding InterceptsSection 4.3 The Slope of a LineSection 4.4 The Slope-Intercept Form of a LineSection 4.5 Writing an Equation of a LineSection 4.6 Parallel and Perpendicular LinesSection 4.7 Introduction to FunctionsSection 4.8 Function Notation and Linear FunctionsChapter 5: Solving Systems of Linear EquationsSection 5.1 Solving Systems by GraphingSection 5.2 Solving Systems by SubstitutionSection 5.3 Solving Systems by the Elimination MethodMid-Chapter SummarySection 5.4 Applications of Systems of Two EquationsSection 5.5 Systems of Linear Equations in Three VariablesChapter 6: PolynomialsSection 6.1 Review of Rules of ExponentsSection 6.2 Addition and Subtraction of PolynomialsSection 6.3 Multiplication of PolynomialsSection 6.4 Division of PolynomialsChapter 7: Factoring PolynomialsSection 7.1 The Greatest Common Factor and Factoring by GroupingSection 7.2 Factoring Trinomials of the Form x^2 + bx + cSection 7.3 Factoring Polynomials of the Form ax^2 + bx + c (a notequal to 1)Section 7.4 Factoring Binomials and Perfect Square TrinomialsMid-Chapter SummarySection 7.5 Solving Quadratic Equations by FactoringSection 7.6 Applications of Quadratic EquationsChapter 8: Rational ExpressionsSection 8.1 Simplifying Rational ExpressionsSection 8.2 Multiplying and Dividing Rational ExpressionsSection 8.3 Finding the Least Common DenominatorSection 8.4 Adding and Subtracting Rational ExpressionsMid-Chapter SummarySection 8.5 Simplifying Complex FractionsSection 8.6 Solving Rational EquationsSection 8.7 ApplicationsChapter 9: Absolute Value Equations and InequalitiesSection 9.1 Solving Absolute Value EquationsSection 9.2 Solving Absolute Value InequalitiesSection 9.3 Linear Inequalities in Two VariablesSection 9.4 Solving Systems of Equations Using MatricesChapter 10: Radicals and Rational ExponentsSection 10.1 Finding RootsSection 10.2 Rational ExponentsSection 10.3 Simplifying Expressions Containing Square RootsSection 10.4 Simplifying Expressions Containing Higher RootsSection 10.5 Adding and Subtracting RadicalsSection 10.6 Combining Multiplication, Addition, and Subtraction ofRadicalsSection 10.7 Dividing RadicalsSection 10.8 Solving Radical EquationsChapter 11: Quadratic EquationsSection 11.1 Review of Solving Equations by FactoringSection 11.2 Solving Quadratic Equations Using the Square RootPropertySection 11.3 Complex NumbersSection 11.4 Solving Quadratic Equations by Completing theSquareSection 11.5 Solving Quadratic Equations Using the QuadraticFormulaMid-Chapter SummarySection 11.6 Equations in Quadratic FormSection 11.7 Formulas and ApplicationsChapter 12: Functions and their GraphsSection 12.1 Relations and FunctionsSection 12.2 Graphs of Functions and TransformationsSection 12.3 Quadratic Functions and their GraphsSection 12.4 Applications of Quadratic Functions and Graphing OtherParabolasSection 12.5 The Algebra of FunctionsSection 12.6 VariationChapter 13: Inverse, Exponential, and Logarithmic FunctionsSection 13.1 Inverse FunctionsSection 13.2 Exponential FunctionsSection 13.3 Logarithmic FunctionsSection 13.4 Properties of LogarithmsSection 13.5 Common and Natural Logarithms and Change ofBaseSection 13.6 Solving Exponential and Logarithmic EquationsChapter 14: Conic Sections, Nonlinear Inequalities, and NonlinearSystemsSection 14.1 The CircleSection 14.2 The Ellipse and the HyperbolaMid-Chapter SummarySection 14.3 Nonlinear Systems of EquationsSection 14.4 Quadratic and Rational InequalitiesChapter 15: Sequences and Series **Available online**Section 15.1 Sequences and SeriesSection 15.2 Arithmetic Sequences and SeriesSection 15.3 Geometric Sequences and SeriesSection 15.4 The Binomial TheoremAppendix: Beginning Algebra ReviewINVITATION TO PUBLISH<strong>McGraw</strong>-<strong>Hill</strong> is interested inreviewing textbook proposal forpublication. Please contact yourlocal <strong>McGraw</strong>-<strong>Hill</strong> office or email toasiapub@mcgraw-hill.comVisit <strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)Website: www.mheducation.asia20

DEVELOPMENTAL MATHEMATICSBEGINNING AND INTERMEDIATE ALGEBRA2nd EditionBy James Hall and Brian Mercer of Parkland College2008 (January 2007)ISBN: 978-0-07-322971-3www.mhhe.com/hallmercerIntended for schools that want a single text covering the standardtopics from Beginning and Intermediate Algebra. Topics are organizedby using the principles of the AMATYC standards as a guide, givingstrong support to teachers using the text. The book’s organization andpedagogy are designed to work for students with a variety of learningstyles and for teachers with varied experiences and backgrounds.The inclusion of multiple perspectives--verbal, numerical, algebraic,and graphical--has proven popular with a broad cross section of students.Use of a graphing calculator is assumed. BEGINNING ANDINTERMEDIATE ALGEBRA: THE LANGUAGE AND SYMBOLISMOF MATHEMATICS is a reform-oriented book.CONTENTSChapter One: Review of Beginning Algebra1.1 Preparing for an Algebra Class1.2 The Real Number Line1.3 Addition of Real Numbers1.4 Subtraction of Real Numbers1.5 Multiplication of Real Numbers and Natural Number Exponents1.6 Division of Real Numbers1.7 Order of OperationsChapter Two: Linear Equations and Patterns2.1 The Rectangular Coordinate System and Arithmetic Sequences2.2 Function Notation and Linear Functions2.3 Graphs of Linear Equations in Two Variables2.4 Solving Linear Equations in One Variable Using the Addition-Subtraction Principle2.5 Solving Linear Equations in One Variable Using the Multiplication-DivisionPrinciple2.6 Using and Rearranging Formulas2.7 Proportions and Direct Variation2.8 More Applications of Linear EquationsChapter Three: Lines and Systems of Linear Equations in TwoVariables3.1 Slope of a Line and Applications of Slope3.2 Special Forms of Linear Equations in Two Variables3.3 Solving Systems of Linear Equations in Two Variables Graphicallyand Numerically3.4 Solving Systems of Linear Equations in Two Variables by theSubstitution Method3.5 Solving Systems of Linear Equations in Two Variables by theAddition Method3.6 More Applications of Linear Systems Cumulative Review ofChapters 1-3Chapter Four: Linear Inequalities and Systems of Linear Inequalities4.1 Solving Linear Inequalities Using the Addition-Subtraction Principle4.2 Solving Linear Inequalities Using the Multiplication-DivisonPrinciple4.3 Solving Compound Inequalities4.4 Solving Absolute Value Equations and Inequalities4.5 Graphing Systems of Linear Inequalities in Two VariablesChapter Five: Exponents and Operations with Polynomials5.1 Product and Power Rules for Exponents5.2 Quotient Rule and Zero Exponents5.3 Negative Exponents and Scientific Notation5.4 Adding and Subtracting Polynomials5.5 Multiplying Polynomials5.6 Dividing Polynomials5.7 Special Products and Factors Cumulative Review of Chapters1-5Chapter Six: Factoring Polynomials6.1 An Introduction to Factoring6.2 Factoring Trinomials of the Form x2 + bx + c6.3 Factoring Trinomials of the Form ax2 + bx + c6.4 Factoring Special Forms6.5 A General Strategy for Factoring Polynomials6.6 Solving Equations by FactoringChapter Seven: Quadratic Functions7.1 Functions and Representations of Functions7.2 Quadratic Functions,Parabolas and Modeling Using QuadraticEquations7.3 Solving Quadratic Equations and Inequalities by Factoring7.4 Using the Quadratic Formula to find Real Solutions7.5 More Applications of Quadratic Equations7.6 Complex Numbers7.7 Solving Quadratic Equations with Complex SolutionsChapter Eight: Rational Functions8.1 Properties of the Graphs of Rational Functions and ReducingRational Expressions8.2 Multiplying and Dividing Rational Expressions8.3 Adding and Subtracting Rational Expressions8.4 Combining Operations and Simplifying Complex Rational Expressions8.5 Solving Equations Containing Rational Expressions8.6 Inverse and Joint Variation and Other Applications Yielding Equationswith Fractions Cumulative Review of Chapters 1-8Chapter Nine: Square Root and Cube Root Functions and RationalExponents9.1 Evaluating Radical Expressions and Graphing Square Root andCube Root Functions9.2 Adding and Subtracting Radical Expressions9.3 Multiplying and Dividing Radical Expressions9.4 Solving Equations Containing Radical Expressions9.5 Rational Exponents and RadicalsChapter Ten: Exponential and Logarithmic Functions10.1 Geometric Sequences and Properties of the Graphs of ExponentialFunctions10.2 Inverse Functions10.3 Logarithmic Functions10.4 Evaluating Logarithms10.5 Properties of Logarithms10.6 Solving Exponential and Logarithmic Equations10.7 Exponential Curve Fitting and Other Applications of Exponentialand Logarithmic Equations Cumulative Review of Chapters 1-10Chapter Eleven: A Preview of College Algebra11.1 Solving Systems of Linear Equations Using Augmented Matrices11.2 Systems of Linear Equations in Three Variables11.3 Horizontal and Vertical Translations of the Graphs of Functions11.4 Stretching, Shrinking and Reflecting Graphs of Functions11.5 Algebra of Functions11.6 Sequences, Series and Summation Notation11.7 Conic Sections21

DEVELOPMENTAL MATHEMATICSInternational EditionELEMENTARY AND INTERMEDIATEALGEBRA3rd EditionBy Donald Hutchison, Stefan Baratto and Barry Bergman of ClackamasCommunity College2008 (February 2007) / 1152 pagesISBN: 978-0-07-330961-3 (with MathZone)ISBN: 978-0-07-110193-6 [IE]Browse http://www.mhhe.com/barattoElementary & Intermediate Algebra, 3/e by Baratto/Bergman is partof the latest offerings in the successful Streeter-Hutchison Series inMathematics. The third edition continues the hallmark approach ofencouraging the learning of mathematics by focusing its coverageon mastering math through practice. This worktext seeks to providecarefully detailed explanations and accessible pedagogy to introducebeginning and intermediate algebra concepts and put the content incontext. The authors use a three-pronged approach (I. Communication,II. Pattern Recognition, and III. Problem Solving) to present thematerial and stimulate critical thinking skills. Items such as MathAnxiety boxes, Check Yourself exercises, and Activities representthis approach and the underlying philosophy of mastering maththrough practice. The exercise sets have been expanded, organized,and clearly labeled. Vocational and professional-technical exerciseshave been added throughout. Repeated exposure to this consistentstructure should help advance the student’s skills in relating tomathematics. The book is designed for a combined beginning andintermediate algebra course, or it can be used across two courses,and is appropriate for lecture, learning center, laboratory, or self-pacedcourses. It is accompanied by numerous useful supplements, including<strong>McGraw</strong>-<strong>Hill</strong>’s online homework management system, MathZone.CONTENTS0 Prealgebra Review0.1 A Review of Fractions0.2 Real Numbers0.3 Adding and Subtracting Real Numbers0.4 Multiplying and Dividing Real Numbers0.5 Exponents and Order of Operation1 From Arithmetic to Algebra1.1 Transition to Algebra1.2 Evaluating Algebraic Expressions1.3 Adding and Subtracting Algebraic Expressions1.4 Sets2 Equations and Inequalities2.1 Solving Equations by Adding and Subtracting2.2 Solving Equations by Multiplying and Dividing2.3 Combining the Rules to Solve Equations2.4 Literal Equations and Their Applications2.5 Solving Linear Inequalities Using Addition2.6 Solving Linear Inequalities Using Multiplication2.7 Solving Absolute Value Equations (Optional)2.8 Solving Absolute Value Inequalities (Optional)3 Graphs and Linear Equations3.1 Solutions of Equations in Two Variables3.2 The Cartesian Coordinate System3.3 The Graph of a Linear Equation3.4 The Slope of a Line3.5 Forms of Linear Equations3.6 Graphing Linear Inequalities in Two Variables4 Exponents and Polynomials4.1 Positive Integer Exponents4.2 Zero and Negative Exponents and Scientific Notation4.3 Introduction to Polynomials4.4 Addition and Subtraction of Polynomials4.5 Multiplication of Polynomials and Special Products4.6 Division of Polynomials5 Factoring Polynomials5.1 An Introduction to Factoring5.2 Factoring Special Polynomials5.3* Factoring Trinomials: Trial and Error5.4 Factoring Trinomials: The ac method5.5 Strategies in Factoring5.6 Solving Quadratic Equations by Factoring5.7 Problem Solving with Factoring6 A Beginning Look at Functions6.1 Relations and Functions6.2 Tables and Graphs6.3 Algebra of Functions6.4 Composition of Functions6.5 Substitution and Synthetic DivisionR A Review of Elementary AlgebraR.1 From Arithmetic to AlgebraR.2 Equations and InequalitiesR.3 Graphs and Linear EquationsR.4 Exponents and PolynomialsR.5 A Beginning Look at FunctionsR.6 Factoring Polynomials7 Rational Expressions7.1 Simplifying Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Addition and Subtraction of Rational Expressions7.4 Complex Fractions7.5 Solving Rational Expressions7.6 Solving Rational Inequalities8 Systems of Linear Equations and Inequalities8.1 Solving Systems of Linear Equations by Graphing8.2 Systems of Equations in Two Variables with Applications8.3 Systems of Linear Equations in Three Variables8.4 Systems of Linear Inequalities in Two Variables8.5 Matrices (Optional)9 Graphical Solutions9.1 Solving Equations in One Variable Graphically9.2 Solving Linear Inequalities in One Variable Graphically9.3 Solving Absolute Value Equations Graphically9.4 Solving Absolute Value Inequalities Graphically10 Radicals and Exponents10.1 Roots and Radicals10.2 Simplifying Radical Expressions10.3 Operations on Radical Expressions10.4 Solving Radical Equations10.5 Rational Exponents 10.6 Complex Numbers11 Quadratic Functions11.1 Solving Quadratic Equations by Completing the Square11.2 The Quadratic Formula11.3 An Introduction to the Parabola11.4 Solving Quadratic Inequalities12 Conic Sections12.1 Conic Sections and the Circle12.2 Ellipses12.3 Hyperbolas13 Exponential and Logarithmic Functions13.1 Inverse Relations and Functions13.2 Exponential Functions13.3 Logarithmic Functions13.4 Properties of Logarithms13.5 Logarithmic and Exponential Equations / Appendix A / AppendixA.1 Determinants and Cramer’s Rule22

DEVELOPMENTAL MATHEMATICSELEMENTARY AND INTERMEDIATEALGEBRAAlternate Hardcover Edition, Third EditionBy Donald Hutchinson, Stefan Baratto and Barry Bergman of ClackamasCommunity College2008 (February 2007)ISBN: 978-0-07-330931-6http://www.mhhe.com/barattoA Unified Text That Serves Your Needs. Most colleges offering elementaryand intermediate algebra use two different texts, one foreach course. As a result, students may be required to purchase twotexts; this can result in a considerable amount of topic overlap. Overthe last few years, several publishers have issued “combined” textsthat take chapters from two texts and merge them into a single book.This has allowed students to purchase a single text, but it has donelittle to reduce the overlap. The goal of this author team has been toproduce a text that was more than a combined text. They wanted tounify the topics and themes of beginning and intermediate algebrain a fluid, non-repetitive text. We also wanted to produce a text thatwill prepare students from different mathematical backgrounds forcollege algebra. We believe we have accomplished our goals. Forstudents entering directly from an arithmetic or pre-algebra course,this is a text that contains all of the material needed to prepare forcollege algebra. It can be offered in two quarters or in two semesters.The new Review Chapter found between chapters 6 and 7 serves asa mid-book review for students preparing to take a final exam thatcovers the first seven chapters. Finally, we have produced a textthat will accommodate those students placing into the second termof a two-term sequence. Here is where the Review Chapter is mostvaluable. It gives the students an opportunity to check that they haveall of the background required to begin in Chapter 7. If the studentsstruggle with any of the material in the Review Chapter, they arereferred to the appropriate section for further review.CONTENTS0 Prealgebra Review0.1 A Review of Fractions0.2 Real Numbers0.3 Adding and Subtracting Real Numbers0.4 Multiplying and Dividing Real Numbers0.5 Exponents and Order of Operation1 From Arithmetic to Algebra1.1 Transition to Algebra1.2 Evaluating Algebraic Expressions1.3 Adding and Subtracting Algebraic Expressions1.4 Sets2 Equations and Inequalities2.1 Solving Equations by Adding and Subtracting2.2 Solving Equations by Multiplying and Dividing2.3 Combining the Rules to Solve Equations2.4 Literal Equations and Their Applications2.5 Solving Linear Inequalities Using Addition2.6 Solving Linear Inequalities Using Multiplication2.7 Solving Absolute Value Equations (Optional)2.8 Solving Absolute Value Inequalities (Optional)3 Graphs and Linear Equations3.1 Solutions of Equations in Two Variables3.2 The Cartesian Coordinate System3.3 The Graph of a Linear Equation3.4 The Slope of a Line3.5 Forms of Linear Equations3.6 Graphing Linear Inequalities in Two Variables4 Exponents and Polynomials4.1 Positive Integer Exponents4.2 Zero and Negative Exponents and Scientific Notation4.3 Introduction to Polynomials4.4 Addition and Subtraction of Polynomials4.5 Multiplication of Polynomials and Special Products4.6 Division of Polynomials5 Factoring Polynomials5.1 An Introduction to Factoring5.2 Factoring Special Polynomials5.3* Factoring Trinomials: Trial and Error5.4 Factoring Trinomials: The ac method5.5 Strategies in Factoring5.6 Solving Quadratic Equations by Factoring5.7 Problem Solving with Factoring6 A Beginning Look at Functions6.1 Relations and Functions6.2 Tables and Graphs6.3 Algebra of Functions6.4 Composition of Functions6.5 Substitution and Synthetic DivisionR A Review of Elementary AlgebraR.1 From Arithmetic to AlgebraR.2 Equations and InequalitiesR.3 Graphs and Linear EquationsR.4 Exponents and PolynomialsR.5 A Beginning Look at FunctionsR.6 Factoring Polynomials7 Rational Expressions7.1 Simplifying Rational Expressions7.2 Multiplication and Division of Rational Expressions7.3 Addition and Subtraction of Rational Expressions7.4 Complex Fractions7.5 Solving Rational Expressions7.6 Solving Rational Inequalities8 Systems of Linear Equations and Inequalities8.1 Solving Systems of Linear Equations by Graphing8.2 Systems of Equations in Two Variables with Applications8.3 Systems of Linear Equations in Three Variables8.4 Systems of Linear Inequalities in Two Variables8.5 Matrices (Optional)9 Graphical Solutions9.1 Solving Equations in One Variable Graphically9.2 Solving Linear Inequalities in One Variable Graphically9.3 Solving Absolute Value Equations Graphically9.4 Solving Absolute Value Inequalities Graphically10 Radicals and Exponents10.1 Roots and Radicals10.2 Simplifying Radical Expressions10.3 Operations on Radical Expressions10.4 Solving Radical Equations10.5 Rational Exponents10.6 Complex Numbers11 Quadratic Functions11.1 Solving Quadratic Equations by Completing the Square11.2 The Quadratic Formula11.3 An Introduction to the Parabola11.4 Solving Quadratic Inequalities12 Conic Sections12.1 Conic Sections and the Circle12.2 Ellipses12.3 Hyperbolas13 Exponential and Logarithmic Functions13.1 Inverse Relations and Functions13.2 Exponential Functions13.3 Logarithmic Functions13.4 Properties of Logarithms13.5 Logarithmic and Exponential EquationsAppendix AAppendix A.1 Determinants and Cramer’s Rule23

DEVELOPMENTAL MATHEMATICSBEGINNING AND INTERMEDIATE ALGEBRA2nd EditionBy Julie Miller and Molly O’Neill of Daytona Beach CC-Daytona Beach2008 (January 2007)ISBN: 978-0-07-331269-9Browse: http://www.mhhe.com/miller_oneillBuilding on its first-edition success, Beginning & Intermediate Algebra2/e by Miller/O’Neill continues to offer an enlightened approachgrounded in the fundamentals of classroom experience. The practiceof many instructors in the classroom is to present examples and havetheir students solve similar problems. This is realized through the SkillPractice Exercises that directly follow the examples in the textbook.Throughout the text, the authors have integrated many Study Tipsand Avoiding Mistakes hints, which are reflective of the commentsand instruction presented to students in the classroom. In this way,the text communicates to students, the very points their instructorsare likely to make during lecture, helping to reinforce the conceptsand provide instruction that leads students to mastery and success.The authors included in this edition, Problem-Recognition exercises,that many instructors will likely identify to be similar to worksheetsthey have personally developed for distribution to students. The intentof the Problem-Recognition exercises, is to help students overcomewhat is sometimes a natural inclination toward applying problemsovlingalgorithms that may not always be appropriate. In addition,the exercise sets have been revised to include even more core exercisesthan were present in the first edition. This permits instructorsto choose from a wealth of problems, allowing ample opportunity forstudents to practice what they learn in lecture to hone their skills anddevelop the knowledge they need to make a successful transitioninto College Algebra. In this way, the book perfectly complements anylearning platform, whether traditional lecture or distance-learning; itsinstruction is so reflective of what comes from lecture, that studentswill feel as comfortable outside of class, as they do inside class withtheir instructor. For even more support, students have access to awealth of supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’s online homeworkmanagement system, MathZone.CONTENTSChapter R: Reference: Study Skills, Fractions, and GeometryR.1 Study TipsR.2 FractionsR.3 Introduction to GeometryChapter 1: The Set of Real Numbers1.1 Sets of Numbers and the Real Number Line1.2 Order of Operations1.3 Addition of Real Numbers1.4 Subtraction of Real Numbers Mixed Review Exercises – Additionand Subtraction of Real Numbers1.5 Multiplication and Division of Real Numbers1.6 Properties of Real Numbers and Simplifying Expressions Chapter1Summary Chapter 1Review ExercisesChapter 1 TestChapter 2: Linear Equations and Inequalities2.1 Addition, Subtraction, Multiplication, and Division Properties ofEquality2.2 Solving Linear Equations2.3 Linear Equations: Clearing Fractions and Decimals2.4 Applications of Linear Equations: Introduction to Problem Solving2.5 Applications Involving Percents2.6 Formulas and Applications of Geometry2.7 Linear Inequalities Chapter 2Summary Chapter 2Review ExercisesChapter 2 TestCumulative Review Exercises Chapters 1 – 2Chapter 3: Graphing Linear Equations in Two Variables3.1 Rectangular Coordinate System (BA 2nd ed hardback—Section3.1)3.2 Linear Equations in Two Variables3.3 X- and Y-Intercepts, Horizontal and Vertical Lines3.4 Slope of a Line (BA 2nd ed hardback – Section 3.3)3.5 Slope-Intercept Form of a Line (BA 2nd ed hardback – Section3.4)3.6 Point-Slope Formula (BA 2nd ed hardback – Section 3.5 )3.7 Applications of Linear Equations (BA 2nd ed hardback, Section3.6)Chapter 3 SummaryChapter 3 Review ExercisesChapter 3 Test CumulativeReview Exercises Chapters 1 – 3Chapter 4: Systems of Linear Equations4.1 Introduction to Systems of Linear Equations4.2 Substitution Method4.3 Addition Method4.4 Applications of Linear Equations in Two VariablesChapter 4 SummaryChapter 4 Review ExercisesChapter 4 Test CumulativeReview Exercises Chapters 1 – 4Chapter 5: Polynomials and Properties of Exponents5.1 Exponents: Multiplying and Dividing Common Bases5.2 More Properties of Exponents5.3 Definitions of b0 and b-n5.4 Scientific Notation Mixed Review Exercises – Properties ofExponents5.5 Addition and Subtraction of Polynomials5.6 Multiplication of Polynomials5.7 Division of Polynomials Mixed Review Exercises – Operationson PolynomialChapter 5 SummaryChapter 5 Review ExercisesChapter 5 TestChapter 6: Factoring Polynomials6.1 Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the form ax2 + bx + c (Optional)6.3 Factoring Trinomials: Trial-and-Error Method6.4 Factoring Trinomials: The Grouping Method6.5 Factoring Binomials6.6 General Factoring Summary6.7 Solving Equations by Using the Zero Product RuleChapter 6 SummaryChapter 6 Review ExercisesChapter 6 Test CumulativeReview Exercises Chapters 1 – 6Chapter 7: Rational Expressions7.1 Introduction to Rational Expressions (this section introduces adefinition of domain)7.2 Multiplication and Division of Rational Expressions7.3 Least Common Denominator7.4 Addition and Subtraction of Rational Expressions7.5 Complex Fractions Mixed Review Exercises – Operations onRational Expressions7.6 Rational Equations Mixed Review Exercises – Comparing RationalEquations and Rational Expressions7.7 Applications of Rational Equations, Ratios and ProportionsChapter 7 SummaryChapter 7 Review ExercisesChapter 7 Test CumulativeReview Exercises Chapters 1 – 7Chapter 8: Introduction to Relations and Functions8.1 Review of Graphing8.2 Introduction to Relations8.3 Introduction to Functions8.4 Graphs of Basic Functions8.5 VariationChapter 8 SummaryChapter 8 Review ExercisesChapter 8 Test CumulativeReview Exercises, Chapters 1 – 8Chapter 9: Systems of Linear Equations in Three Variables24

DEVELOPMENTAL MATHEMATICS9.1 Systems of Linear Equations in Three Variables9.2 Applications of Systems of Equations in Three Variables9.3 Solving systems of Linear Equations Using Matrices IA 2e hardcover,3.69.4 Determinants and Cramer’s Rule (combined 8.7 or 2nd ed hardIA appendix A.2)Chapter 9 SummaryChapter 9 Review ExercisesChapter 9 Test CumulativeReview Exercises, Chapters 1 – 9Chapter 10: More Equations and Inequalities10.1 Compound Inequalities10.2 Polynomial and Rational Inequalities10.3 Absolute Value Equations10.4 Absolute Value Inequalities Mixed Review Exercises – Equationsand Inequalities10.5 Linear Inequalities in Two VariablesChapter 10 SummaryChapter 10 Review ExercisesChapter 10 Test CumulativeReview Exercises, Chapters 1 – 10Chapter 11: Radicals and Complex Numbers11.1 Definition of an nth-Root11.2 Rational Exponents11.3 Properties of Radicals11.4 Addition and Subtraction of Radicals11.5 Multiplication of Radicals11.6 Rationalization Mixed Review Exercises – Operations on Radicals(from Chapter 8 BA 2nd ed.)11.7 Radical Equations11.8 Complex NumbersChapter 11 SummaryChapter 11 Review ExercisesChapter 11 Test CumulativeReview Exercises, Chapters 1 – 11Chapter 12: Quadratic Equations and Functions12.1 Square Root Property and Completing the Square12.2 Quadratic Formula12.3 Equations in Quadratic Form12.4 Graphs of Quadratic Functions12.5 Applications of Quadratic FunctionsChapter 12 SummaryChapter 12 Review ExercisesChapter 12 Test CumulativeReview Exercises, Chapters 1 – 12Chapter 13: Exponential and Logarithmic Functions13.1 Algebra of Functions and Composition of Functions13.2 Inverse Functions13.3 Exponential Functions13.4 Logarithmic Functions13.5 Properties of Logarithms13.6 The Irrational Number, e13.7 Exponential and Logarithmic EquationsChapter 13 SummaryChapter 13 Review ExercisesChapter 13 Test CumulativeReview Exercises, Chapters 1 – 13Chapter 14: Conic Sections and Nonlinear Systems14.1 Distance Formulas and Circles14.2 More on the Parabola14.3 Ellipse and Hyperbola14.4 Nonlinear Systems of Equations in Two Variables14.5 Nonlinear Inequalities and Systems of InequalitiesChapter 14 SummaryChapter 14 Review ExercisesChapter 14 Test CumulativeReview Exercises, Chapters 1 – 14Chapter 15: Sequences, Series, and Binomial Theorem Counting,and Probability15.1 Sequences and Series15.2 Arithmetic and Geometric Sequences and Series15.3 Binomial Expansions15.4 Fundamentals of Counting15.5 Introduction to ProbabilityChapter 15 SummaryChapter 15 Review ExercisesChapter 15 Test CumulativeReview Exercises, Chapters 1 – 15Beginning Algebra Review:Review A Review of The Set of Real NumbersReview B Review of Linear Equations and InequalitiesReview C Review of Graphing (authors need to revise)Review D Review of Polynomials and Properties of ExponentsReview E Review of Factoring PolynomialsReview F Review of Rational ExpressionsAppendix A.1 Synthetic DivisionAppendix A.2 Mean, Median, and ModeIntermediate AlgebraNewINTERMEDIATE ALGEBRASixth EditionBy Mark Dugopolski2009 (January 2008)ISBN: 978-0-07-722481-3Browse: http://www.mhhe.com/dugopolskiIntermediate Algebra, 6e is part of the latest offerings in the successfulDugopolski series in mathematics. The author’s goal is to explainmathematical concepts to students in a language they can understand.In this book, students and faculty will find short, precise explanationsof terms and concepts written in understandable language. Theauthor uses concrete analogies to relate math to everyday experiences.For example, when the author introduces the CommutativeProperty of Addition, he uses a concrete analogy that “the price of ahamburger plus a Coke is the same as a Coke plus a hamburger”.Given the importance of examples within a math book, the authorhas paid close attention to the most important details for solving thegiven topic. Dugopolski includes a double cross-referencing systembetween the examples and exercise sets, so no matter which one thestudents start with, they will see the connection to the other. Finally,the author finds it important to not only provide quality, but also agood quantity of exercises and applications. The Dugopolski seriesis known for providing students and faculty with the most quantityand quality of exercises as compared to any other developmentalmath series on the market. In completing this revision, Dugopolskifeels he has developed the clearest and most concise developmentalmath series on the market, and he has done so without comprisingthe essential information every student needs to become successfulin future mathematics courses. The book is accompanied by numeroususeful supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’s online homeworkmanagement system, MathZone.25

DEVELOPMENTAL MATHEMATICSNEW TO THIS EDITION Subsection heads are now in the end of section exercise sets,and section heads are now in the Chapter Review Exercises. References to page numbers on which Strategy Boxes arelocated have been inserted into the direction lines for the exerciseswhen appropriate. Study tips have been removed from the margins to give the pagesa better look. Two study tips now precede each exercise set. <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, online tutorial and coursemanagement system for mathematics and statistics, designed forgreater ease of use than any other system available. Instructorscan create and share courses and assignments with colleagues andadjuncts in a matter of a few clicks of a mouse. All instructor teachingresources are accessed online, as well as student assignments, questions,e-Professors, online tutoring and video lectures which are directlytied to text specific material. MathZone courses are customized toyour textbook, but you can edit questions and algorithms, import yourown content, create announcements and due dates for assignments.MathZone has automatic grading and reporting of easy-to-assignalgorithmically generated homework, quizzing and testing. Studentactivity within MathZone is automatically recorded and available to youthrough a fully integrated grade book than can be downloaded to Excel.Go to www.mathzone.com to learn more.CONTENTSTO THE STUDENTPREFACE1 The Real Numbers1.1 Sets1.2 The Real Numbers1.3 Operations on the Set of Real Numbers1.4 Evaluating Expressions1.5 Properties of the Real Numbers1.6 Using the PropertiesChapter 1 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 1 Test• Critical Thinking2 Linear Equations and Inequalities in One Variable2.1 Linear Equations in One Variable2.2 Formulas and Functions2.3 Applications2.4 Inequalities2.5 Compound Inequalities2.6 Absolute Value Equations and InequalitiesChapter 2 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 2 Test• Making Connections: A review of Chapters 1-2• Critical Thinking3 Linear Equations and Inequalities in Two Variables3.1 Graphing Lines in the Coordinate Plane3.2 Slope of a Line3.3 Three Forms for the Equation of a Line3.4 Linear Inequalities and Their Graphs3.5 Functions and RelationsChapter 3 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 3 Test• Making Connections: a review of Chapters 1-3• Critical Thinking4 Systems of Linear Equations4.1 Solving Systems by Graphing and Substitution4.2 The Addition Method4.3 Systems of Linear Equations in Three Variables4.4 Solving Linear Systems Using Matrices4.5 Determinants and Cramer’s Rule4.6 Linear ProgrammingChapter 4 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 4 Test• Making Connections: a review of Chapters 1-4• Critical Thinking5 Exponents and Polynomials5.1 Integral Exponents and Scientific Notation5.2 The Power Rules5.3 Polynomials and Polynomial Functions5.4 Multiplying Binomials5.5 Factoring Polynomials5.6 Factoring ax² + bx + c5.7 Factoring Strategy5.8 Solving Equations by FactoringChapter 5 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 5 Test• Making Connections: a review of Chapters 1-5• Critical Thinking6 Rational Expressions and Functions6.1 Properties of Rational Expressions and Functions6.2 Multiplication and Division6.3 Addition and Subtraction6.4 Complex Fractions6.5 Division of Polynomials6.6 Solving Equations Involving Rational Expressions6.7 ApplicationsChapter 6 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 6 Test• Making Connections: a review of Chapters 1-6• Critical Thinking7 Radicals and Rational Exponents7.1 Radicals7.2 Rational Exponents7.3 Adding, Subtracting, and Multiplying Radicals7.4 Quotients, Powers, and Rationalizing Denominators7.5 Solving Equations with Radicals and Exponents7.6 Complex NumbersChapter 7 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 7 Test• Making Connections: a review of Chapters 1-7• Critical Thinking8 Quadratic Equations, Functions, and Inequalities8.1 Factoring and Completing the Square8.2 The Quadratic Formula8.3 More on Quadratic Equations8.4 Quadratic Functions and Their Graphs8.5 Quadratic and Rational InequalitiesChapter 8 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 8 Test• Making Connections: a review of Chapters 1-8• Critical Thinking9 Additional Function Topics26

DEVELOPMENTAL MATHEMATICS9.1 Graphs of Functions and Relations9.2 Transformations of Graphs9.3 Combining Functions9.4 Inverse Functions9.5 VariationChapter 9 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 9 Test• Making Connections: a review of Chapters 1-9• Critical Thinking10 Exponential and Logarithmic Functions10.1 Exponential Functions and Their Applications10.2 Logarithmic Functions and Their Applications10.3 Properties of Logarithms10.4 Solving Equations and ApplicationsChapter 10 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 10 Test• Making Connections: a review of Chapters 1-10• Critical Thinking11 Nonlinear Systems and the Conic Sections11.1 Nonlinear Systems of Equations11.2 The Parabola11.3 The Circle11.4 The Ellipse and Hyperbola11.5 Second-Degree InequalitiesChapter 11 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 11 Test• Making Connections: a review of Chapters 1-11• Critical Thinking12 Sequences and Series12.1 Sequences12.2 Series12.3 Arithmetic Sequences and Series12.4 Geometric Sequences and Series12.5 Binomial ExpansionsChapter 12 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 12 Test• Making Connections: a review of Chapters 1-12• Critical ThinkingAppendix AAnswers to Selected ExercisesIndexNewINTERMEDIATE ALGEBRASecond Editionby Julie Miller, Daytona State College-DaytonaBeach, Molly O’Neill, Daytona State College-Daytona Beach, and Nancy Hyde2010 (January 2009) / 992 pagesISBN: 978-0-07-728111-3ISBN: 978-0-07-730425-6 [Alternate Edition hardcover]www.mhhe.com/mohIntermediate Algebra offers a refreshing approach to the traditionalcontent of the course. Presented in worktext format, IntermediateAlgebra offers a review of problem solving, solving equations in twoand three variables, a chapter devoted to functions, polynomials,radicals and complex numbers, factoring and quadratic functions,rational expressions, and inequalities. Other topics include exponentialand logarithmic functions and conic sections. The text reflectsthe compassion and insight of its experienced author team withfeatures developed to address the specific needs of developmentallevel students.NEW TO THIS EDITION Problem Recognition Exercises - These exercise sets are designedto helop students learn to recognize the difference betweentypes of problems which appear to be similar at first, but indeed aredifferent and require different techniques to solve. Improved Worked Out Solutions - Many multi-part sets andexamples have been split up to show to make viewing the solutionseasier. Engaging Chapter Openers - Now each chapter includes anengaging and fun puzzle for students to review and/or learn conceptsfrom that chapter. References to Classroom Exercises -- Not only does the AnnotatedInstructor’s Edition uniquely refer to the Classroom Activities,but now it references classroom exercises for each example in thetext. These exercises are highlighted in the Practice Set at the endof each section. Should an instructor choose to present all of thesehighlighted exercises, all of the objectives of that particular sectionwill have been covered. Group Activities -- Optional Group Activities have been addedto the end of each chapter.FEATURES “Translation” Exercises - Exercises identified by an icon in thetext, provide students with an opportunity to strengthen their commandof mathematical language. In these exercises, students practice convertingEnglish phrases to mathematical symbols and mathematicalsymbols to English phrases. Analyzing and Modeling Data - Charts and graphs appearthroughout the text within the examples and exercises. Studentslearn to create mathematical models in the form of functions, equations,and graphs. MathZone - This online based product will allow the instructorsand students to get all of the necessary help they need to be successfulin the course including state of the art lecture videos, eProfessorpractice, many problems from the text algorithmically generated, aunified gradebook and a course built online quickly and easily.27

DEVELOPMENTAL MATHEMATICS Classroom Activities - These optional activities are exercisesthat can be worked out in class by individual students, or by a groupworking collaboratively. The Annotated Instructor’s Edition refers tothe classroom activities, which are found in the Instructor’s ResourceManual.CONTENTSChapter 1 Review of Basic Algebraic Concepts1.1 Sets of Number and Interval Notation1.2 Operation on Real Numbers1.3 Simplifying Expressions1.4 Linear Equations in One Variable--Problem Recognition Exercises:Expressions and Equations1.5 Applications of Linear Equations in One Variable1.6 Literal Equations and Applications to Geometry1.7 Linear Inequalities in One Variable1.8 Properties of Integer Exponents and Scientific NotationChapter 2 Graphing Linear Equations and Functions2.1 Linear Equations in Two Variables2.2 Slope of a Line--Problem Recognition Exercises: Intercepts andSlope2.3 Equations of a Line2.4 Application of Linear Equations and Modeling2.5 Introduction to Relations2.6 Introduction to Functions2.7 Graphs of Basic FunctionsChapter 3 Systems of Linear Equations3.1 Solving Systems of Linear Equations by Graphing3.2 Solving Systems of Linear Equations by Using the SubstitutionMethod3.3 Solving Systems of Linear Equations by Using the AdditionMethod-- Problem Recognition Exercises: Method of Solving Systemsof Equations3.4 Applications of Systems of Linear Equations in Two Variables3.5 Systems of Linear Equations in Three Variables and Applications3.6 Solving Systems of Linear Equations by Using MatricesChapter 4 Polynomials4.1 Addition and Subtraction of Polynomials and Polynomial Functions.4.2 Multiplication of Polynomials4.3 Division of Polynomials--Problem Recognition Exercises: Operationson Polynomials4.4 Greatest Common Factor and Factoring by Grouping4.5 Factoring Trinomials4.6 Factoring Binomials4.7 Additional Factoring Strategies4.8 Solving Equations by Using the Zero Product RuleChapter 5 Rational Expressions and Rational Equations5.1 Rational Expressions and Rational Functions5.2 Multiplication and Division of Rational Expressions5.3 Addition and Subtraction of Rational Expressions5.4 Complex Fractions--Problem Recognition Exercises: SimplifyingRational Expressions5.5 Solving Rational Equations--Problem Recognition Exercises:Rational Expressions and Equations5.6 Applications of Rational Equations and Proportions5.7 VariationChapter 6 Radicals and Complex Numbers6.1 Definition of an nth-Root6.2 Rational Exponents6.3 Simplifying Radical Expressions6.4 Addition and Subtraction of Radicals6.5 Multiplication of Radicals--Problem Recognition Exercises: Operationson Radical Expressions6.6 Rationalization6.7 Solving Radical Equations6.8 Complex NumbersChapter 7 Quadratic Equations and Functions7.1 Square Root Property and Completing the Square7.2 Quadratic Formula7.3 Equations in Quadratic Form--Problem Recognition Exercises:Recognizing Equation Types7.4 Graphs of Quadratic Functions7.5 Applications of Quadratic Functions and ModelingChapter 8 More Equations and Inequalities8.1 Compound Inequalities8.2 Polynomial and Rational Inequalities8.3 Absolute Value Equations8.4 Absolute Value Inequalities--Problem Recognition Exercises:Equations and Inequalities8.5 Linear Inequalities in Two VariablesChapter 9 Exponential and Logarithmic Functions9.1 Algebra and Composition of Functions9.2 Inverse Functions9.3 Exponential Functions9.4 Logarithmic Functions9.5 Properties of Logarithms9.6 The Irrational Number e--Problem Recognition Exercises: Logarithmicand Exponential Forms9.7 Exponential and Logarithmic EquationsChapter 10 Conic Sections10.1 Distance Formula, Midpoint, and Circles10.2 More of the Parabola10.3 The Ellipse and Hyperbola--Problem Recognition Exercises:Identifying and Graphing Conic Sections10.4 Nonlinear Systems of Equations in Two Variables10.5 Nonlinear Inequalities and System if InequalitiesAdditional Topics AppendixA.1 Binomial ExpansionsA.2 Determinants and Cramer’s RuleA.3 Sequences and SeriesA.4 Arithmetic and Geometric Sequences and SeriesNew2009 / Paper / 960 pagesISBN: 978-0-07-722480-6Browse http://www.mhhe.com/belloNEW TO THIS EDITIONINTERMEDIATE ALGEBRAThird Editionby Ignacio Bello, University Of South Florida-Tampa, and Fran Hopf, University Of SouthFlorida-Tampa <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, online tutorial and coursemanagement system for mathematics and statistics, designed forgreater ease of use than any other system available. Instructorscan create and share courses and assignments with colleagues andadjuncts in a matter of a few clicks of a mouse. All instructor teachingresources are accessed online, as well as student assignments,questions, e-Professors, online tutoring and video lectures which aredirectly tied to text specific material. MathZone courses are customizedto your textbook, but you can edit questions and algorithms,import your own content, create announcements and due datesfor assignments. MathZone has automatic grading and reporting ofeasy-to-assign algorithmically generated homework, quizzing andtesting. Student activity within MathZone is automatically recorded28

DEVELOPMENTAL MATHEMATICSand available to you through a fully integrated grade book than canbe downloaded to Excel.Go to www.mathzone.com to learn moreCONTENTSChapter 1: The Real Numbers1.1 Numbers and Their Properties1.2 Operations and Properties of Real Numbers1.3 Properties of Exponents1.4 Algebraic Expressions and the Order of OperationsChapter 2: Linear Equations and Inequalities2.1 Linear Equations in One Variable2.2 Formulas, Geometry, and Problem Solving2.3 Problem Solving: Integers and Geometry2.4 Problem Solving: Percent, Investment, Motion, and MixtureProblems2.5 Linear and Compound Inequalities2.6 Absolute-Value Equations and InequalitiesChapter 3: Graphs and Functions3.1 Graphs3.2 Using Slopes to Graph Lines3.3 Equations of Lines3.4 Linear Inequalities in Two Variables3.5 Introduction to Functions3.6 Linear FunctionsChapter 4: Solving Systems of Linear Equations and Inequalities4.1 Systems with Two Variables4.2 Systems with Three Variables4.3 Coin, Distance-Rate-Time, Investment, and Geometry Problems4.4 Systems of Linear InequalitiesChapter 5: Polynomials5.1 Polynomials: Addition and Subtraction5.2 Multiplication of Polynomials5.3 The Greatest Common Factor and Factoring by Grouping5.4 Factoring Trinomials5.5 Special Factoring5.6 General Methods of Factoring5.7 Solving Equations by Factoring: ApplicationsChapter 6: Rational Expressions6.1 Rational Expressions6.2 Multiplication and Division of Rational Expressions6.3 Addition and Subtraction of Rational Expressions6.4 Complex Fractions6.5 Division of Polynomials and Synthetic Division6.6 Equations Involving Rational Expressions6.7 Applications: Problem Solving6.8 VariationChapter 7: Rational Exponents and Radicals7.1 Rational Exponents and Radicals7.2 Simplifying Radicals7.3 Operations with Radicals7.4 Solving Equations Containing Radicals7.5 Complex NumbersChapter 8: Quadratic Equations and Inequalities8.1 Solving Quadratics by Completing the Square8.2 The Quadratic Formula: Applications8.3 The Discriminant and Its Applications8.4 Solving Equations in Quadratic Form8.5 Nonlinear InequalitiesChapter 9: Quadratic Functions and the Conic Sections9.1 Quadratic Functions and Their Graphs9.2 Circles and Ellipses9.3 Hyperbolas and Identification of Conics9.4 Nonlinear Systems of Equations9.5 Nonlinear Systems of InequalitiesChapter 10: Functions-Inverse, Exponential, and Logarithmic10.1 The Algebra of Functions10.2 Inverse Functions10.3 Exponential Functions10.4 Logarithmic Functions and Their Properties10.5 Common and Natural Logarithms10.6 Exponential and Logarithmic Equations and ApplicationsAppendix A: Sequences and SeriesA1: MatricesA2: Determinants and Cramer’s RuleA3: Sequences and SeriesA4: Arithmetic Sequences and SeriesA5: Geometric Sequences and SeriesA6: The Binomial ExpansionINTERMEDIATE ALGEBRABy Donald Hutchison, Stefan Baratto of Clackamas Community Collegeand Barry Bergman, Clackamas Community College2008 (January 2007)ISBN: 978-0-07-330930-9www.mhhe.com/barattoIntermediate Algebra by Baratto/Kohlmetz/Bergman is part of thelatest offerings in the successful Streeter-Hutchison Series in Mathematics.By popular demand, we are now offering an IntermediateAlgebra book in the series again. This book combines the best ofearlier versions of Intermediate Algebra, along with new materialrequested by a cross-section of Intermediate Algebra instructorsacross the country. This first edition maintains the hallmark approachof encouraging the learning of mathematics by focusing its coverageon mastering math through practice. This worktext seeks to providecarefully detailed explanations and accessible pedagogy to introduceintermediate algebra concepts and put the content in context. Theauthors use a three-pronged approach (I. Communication, II. PatternRecognition, and III. Problem Solving) to present the material andstimulate critical thinking skills. Items such as Math Anxiety boxes,Check Yourself exercises, and Activities represent this approach andthe underlying philosophy of mastering math through practice. Theexercise sets are well-organized, and clearly labeled. Vocational andprofessional-technical exercises have been included throughout.Repeated exposure to this consistent structure should help advancethe student’s skills in relating to mathematics. The book is designedfor a one-semester intermediate algebra course and is appropriatefor lecture, learning center, laboratory, or self-paced courses. It is accompaniedby numerous useful supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’sonline homework management system, MathZone.CONTENTS1 The Real Numbers1.1 The Set of Real Numbers1.2 Operations and Properties1.3 Inequalities and Absolute Values1.4 Algebraic Expressions1.5 Properties of Exponents and Scientific Notation2 Linear Equations and Inequalities2.1 Solutions of Linear Equations in One Variable2.2 Literal Equations and Formulas2.3 Applications and Problem Solving2.4 Linear Inequalities2.5 Absolute Value Equations and Inequalities3 Graphs of Linear Relations and Functions3.1 Graphing Linear Equations3.2 An Introduction to Functions3.3 The Slope of a Line3.4 Forms of Linear Equations3.5 Graphing Absolute Value Functions and Linear Inequalities4 Systems of Linear Relations4.1 Systems of Linear Equations in Two Variables4.2 Systems of Linear Equations in Three Variables4.3 Solving Systems of Equations Using Matrices4.4 Graphing Systems of Linear Inequalities5 Polynomials and Polynomial Functions5.1 Addition and Subtraction of Polynomials5.2 Multiplication of Polynomials29

DEVELOPMENTAL MATHEMATICS5.3 Division of Polynomials5.4 Common Factors and Factoring by Grouping5.5 Factoring Special Binomials5.6 Factoring Trinomials: Trial and Error5.7 Factoring Trinomials: The ac Method5.8 Strategies in Factoring5.9 Solving Quadratic Equations by Factoring6 Rational Expressions and Functions6.1 Simplification of Rational Expressions and Functions6.2 Multiplication and Division of Rational Expressions6.3 Addition and Subtraction of Rational Expressions6.4 Complex Fractions6.5 Solving Rational Equations 6.6 Variation7 Radical and Radical Exponents7.1 Roots and Radicals7.2 Simplification of Radical Expressions7.3 Operations on Radical Expressions7.4 Solving Radical Equations7.5 Geometric and Other Applications7.6 Rational Exponents7.7 Complex Numbers8 Quadratic Equations, Functions, and Inequalities8.1 Graphing Factorable Quadratic Functions8.2 Solving Quadratic Equations by Completing the Square8.3 Solving Quadratic Equations by Using the Quadratic Formula8.4 Solving Equations that are Quadratic in Form8.5 Quadratic Inequalities and Rational Inequalities9 Conic Sections9.1 Parabolas9.2 Circles9.3 Ellipses and Hyperbolas9.4 Nonlinear Systems10 Additional Properties of Functions10.1 Algebra of Functions10.2 Composition of Functions10.3 Inverse Relations and Functions11 Exponential and Logarithmic Functions11.1 Exponential Functions11.2 Logarithmic Functions11.3 Properties of Logarithms11.4 Solving Logarithmic and Exponential EquationsAppendix: Determinants and Cramer’s RuleSCHAUM’S EASY OUTLINE INTERMEDIATEALGEBRABy Ray Steege and Kerry Bailey, Laramie County CommunityCollege, Wyoming2004 / Softcover / 144 pagesISBN: 978-0-07-142243-7A Schaum’s PublicationWhat could be better than the bestselling Schaum’s Outline series?For students looking for a quick nuts-and-bolts overview, it would haveto be Schaum’s Easy Outline series. Every book in this series is apared-down, simplified, and tightly focused version of its predecessor.With an emphasis on clarity and brevity, each new title featuresa streamlined and updated format and the absolute essence of thesubject, presented in a concise and readily understandable form.Graphic elements such as sidebars, reader-alert icons, and boxedhighlights stress selected points from the text, illuminate keys to learning,and give students quick pointers to the essentials. Designed to appeal to underprepared students and readersturned off by dense text Cartoons, sidebars, icons, and other graphic pointers get thematerial across fastConcise text focuses on the essence of the subject Deliver expert help from teachers who are authorities in theirfieldsPerfect for last-minute test preparationSo small and light that they fit in a backpack!SCHAUM’S OUTLINE OF INTERMEDIATEALGEBRABy Ray Steege and Kerry Bailey, Laramie County Community College,Wyoming1997 / 381 pagesISBN: 978-0-07-060839-9A Schaum’s Publicationhttp://books.mcgraw-hill.com/cgi-bin/getbook.pl?isbn=0070608393&adkey=W02003CONTENTSProperties of Real Numbers.Polynomials.Rational Expressions.First-Degree Equations and Inequalities.Exponents, Roots, and Radicals.Second-Degree Equations and Inequalities.Systems of Equations and Inequalities.Relations and Functions Exponential and Logarithmic Functions.Sequences, Series, and the Binomial Theorem.COMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia30

DEVELOPMENTAL MATHEMATICSAlgebra for CollegeStudentsNewALGEBRA FOR COLLEGESTUDENTSFifth EditionBy Mark Dugopolski2009 (January 2008) / 250 pagesISBN: 978-0-07-722484-4 (Mandatory Package)http://www.mhhe.com/dugopolskiAlgebra for College Students, 5e is part of the latest offerings in thesuccessful Dugopolski series in mathematics. The author’s goal isto explain mathematical concepts to students in a language theycan understand. In this book, students and faculty will find short,precise explanations of terms and concepts written in understandablelanguage. The author uses concrete analogies to relate math toeveryday experiences. For example, when the author introduces theCommutative Property of Addition, he uses a concrete analogy that“the price of a hamburger plus a Coke is the same as a Coke plus ahamburger”. Given the importance of examples within a math book,the author has paid close attention to the most important details forsolving the given topic. Dugopolski includes a double cross-referencingsystem between the examples and exercise sets, so no matterwhich one the students start with, they will see the connection tothe other. Finally, the author finds it important to not only providequality, but also a good quantity of exercises and applications. TheDugopolski series is known for providing students and faculty withthe most quantity and quality of exercises as compared to any otherdevelopmental math series on the market. In completing this revision,Dugopolski feels he has developed the clearest and most concisedevelopmental math series on the market, and he has done so withoutcomprising the essential information every student needs to becomesuccessful in future mathematics courses. The book is accompaniedby numerous useful supplements, including <strong>McGraw</strong>-<strong>Hill</strong>’s onlinehomework management system, MathZone.NEW TO THIS EDITION Subsection heads are now in the end of section exercise sets,and section heads are now in the Chapter Review Exercises. References to page numbers on which Strategy Boxes arelocated have been inserted into the direction lines for the exerciseswhen appropriate. Study tips have been removed from the margins to give the pagesa better look. Two study tips now precede each exercise set. <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, online tutorial and coursemanagement system for mathematics and statistics, designed forgreater ease of use than any other system available. Instructorscan create and share courses and assignments with colleagues andadjuncts in a matter of a few clicks of a mouse. All instructor teachingresources are accessed online, as well as student assignments,questions, e-Professors, online tutoring and video lectures which aredirectly tied to text specific material. MathZone courses are customizedto your textbook, but you can edit questions and algorithms,import your own content, create announcements and due datesfor assignments. MathZone has automatic grading and reporting ofeasy-to-assign algorithmically generated homework, quizzing andtesting. Student activity within MathZone is automatically recordedand available to you through a fully integrated grade book than canbe downloaded to Excel. Go to www.mathzone.com to learn more.CONTENTSTO THE STUDENTPREFACE1 The Real Numbers1.1 Sets1.2 The Real Numbers1.3 Operations on the Set of Real Numbers1.4 Evaluating Expressions1.5 Properties of the Real Numbers1.6 Using the PropertiesChapter 1 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 1 Test• Critical Thinking2 Linear Equations and Inequalities in One Variable2.1 Linear Equations in One Variable2.2 Formulas and Functions2.3 Applications2.4 Inequalities2.5 Compound Inequalities2.6 Absolute Value Equations and InequalitiesChapter 2 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 2 Test• Making Connections: A review of Chapters 1-2• Critical Thinking3 Linear Equations and Inequalities in Two Variables3.1 Graphing Lines in the Coordinate Plane3.2 Slope of a Line3.3 Three Forms for the Equation of a Line3.4 Linear Inequalities and Their Graphs3.5 Functions and RelationsChapter 3 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 3 Test• Making Connections: a review of Chapters 1-3• Critical Thinking4 Systems of Linear Equations4.1 Solving Systems by Graphing and Substitution4.2 The Addition Method4.3 Systems of Linear Equations in Three Variables4.4 Solving Linear Systems Using Matrices4.5 Determinants and Cramer’s Rule4.6 Linear ProgrammingChapter 4 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 4 Test• Making Connections: a review of Chapters 1-4• Critical Thinking5 Exponents and Polynomials5.1 Integral Exponents and Scientific Notation5.2 The Power Rules5.3 Polynomials and Polynomial Functions5.4 Multiplying Binomials5.5 Factoring Polynomials5.6 Factoring ax² + bx + c5.7 Factoring Strategy5.8 Solving Equations by Factoring31

DEVELOPMENTAL MATHEMATICSChapter 5 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 5 Test• Making Connections: a review of Chapters 1-5• Critical Thinking6 Rational Expressions and Functions6.1 Properties of Rational Expressions and Functions6.2 Multiplication and Division6.3 Addition and Subtraction6.4 Complex Fractions6.5 Division of Polynomials6.6 Solving Equations Involving Rational Expressions6.7 ApplicationsChapter 6 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 6 Test• Making Connections: a review of Chapters 1-6• Critical Thinking7 Radicals and Rational Exponents7.1 Radicals7.2 Rational Exponents7.3 Adding, Subtracting, and Multiplying Radicals7.4 Quotients, Powers, and Rationalizing Denominators7.5 Solving Equations with Radicals and Exponents7.6 Complex NumbersChapter 7 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 7 Test• Making Connections: a review of Chapters 1-7• Critical Thinking8 Quadratic Equations, Functions, and Inequalities8.1 Factoring and Completing the Square8.2 The Quadratic Formula8.3 More on Quadratic Equations8.4 Quadratic Functions and Their Graphs8.5 Quadratic and Rational InequalitiesChapter 8 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 8 Test• Making Connections: a review of Chapters 1-8• Critical Thinking9 Additional Function Topics9.1 Graphs of Functions and Relations9.2 Transformations of Graphs9.3 Combining Functions9.4 Inverse Functions9.5 VariationChapter 9 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 9 Test• Making Connections: a review of Chapters 1-9• Critical Thinking10 Polynomial and Rational Functions10.1 The Factor Theorem10.2 Zeros of a Polynomial Function10.3 The Theory of Equations10.4 Graphs of Polynomial Functions10.5 Graphs of Rational FunctionsChapter 10 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 10 Test• Making Connections: a review of Chapters 1-10• Critical Thinking11 Exponential and Logarithmic Functions11.1 Exponential Functions and Their Applications11.2 Logarithmic Functions and Their Applications11.3 Properties of Logarithms11.4 Solving Equations and ApplicationsChapter 11 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 11 Test• Making Connections: a review of Chapters 1-11• Critical Thinking12 Nonlinear Systems and the Conic Sections12.1 Nonlinear Systems of Equations12.2 The Parabola12.3 The Circle12.4 The Ellipse and Hyperbola12.5 Second-Degree InequalitiesChapter 12 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 12 Test• Making Connections: a review of Chapters 1-12• Critical Thinking13 Sequences and Series13.1 Sequences13.2 Series13.3 Arithmetic Sequences and Series13.4 Geometric Sequences and Series13.5 Binomial ExpansionsChapter 13 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 13 Test• Making Connections: a review of Chapters 1-13• Critical Thinking14 Counting and Probability14.1 Counting and Permutations14.2 Combinations14.3 ProbabilityChapter 14 Wrap-Up• Summary• Enriching Your Mathematical Word Power• Review Exercises• Chapter 14 Test• Critical ThinkingAppendix AAnswers to Selected ExercisesIndex32

DEVELOPMENTAL MATHEMATICSSCHAUM’S OUTLINE OF MATHEMATICALHANDBOOK OF FORMULAS AND TABLESThird Editionby Murray R. Spiegel (deceased), Seymour Lipschutz, Temple University-Philadelphia, and John Liu, University of Maryland2008 / Softcover / 312 pagesISBN: 978-0-07-154855-7A Schaum’s PublicationThis third edition covers elementary concepts in algebra, geometry,etc. and more advanced concepts in differential equations and vectoranalysis. It also expands its section on Probability and Statistics andincludes a new section on Financial Mathematics to keep up with thecurrent developments in finance studies as well as in the studies ofmath and the sciences.CONTENTSFormulas:1. Elementary Constants, Products, Formulas2. Geometry3. Elementary Transcendental Functions4. Calculus5. Differential Equations and Vector Analysis6. Series7. Special Functions and Polynomials8. Laplace and Fourier Transforms9. Elliptic and Miscellaneous Special Functions10. Inequalities and Infinite Products11. Probability and Statistics12. Numerical MethodsTables:1. Logarithmic, Trigonometric, Exponential Functions2. Factorial and Gamma Function, Binomial Coefficients3. Bessel Functions4. Legendre Polynomials5. Elliptic Integrals6. Financial Tables7. Probability and StatisticsINVITATION TO PUBLISH<strong>McGraw</strong>-<strong>Hill</strong> is interested inreviewing textbook proposal forpublication. Please contact yourlocal <strong>McGraw</strong>-<strong>Hill</strong> office or email toasiapub@mcgraw-hill.comVisit <strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)Website: www.mheducation.asiaCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia33

DEVELOPMENTAL MATHEMATICS34

MATHEMATICSSERVICE COURSESBusiness Mathematics........................................................................................38Discrete Mathematics .........................................................................................41Geometry ............................................................................................................37Liberal Arts Mathematics ....................................................................................38Mathematics for Elementary Teachers ...............................................................39Technical Mathematics .......................................................................................4335

NEW TITLESMATHEMATICS SERVICE COURSES2010 Author ISBN-13 PageMath for Elementary Teachers: A Conceptual Approach, 8e Bennett 9780070172999 39Math for Elementary Teachers: An Activity Approach, 8e Bennett 9780077297947 4036

MATHEMATICS SERVICE COURSESGeometryInternational EditionGEOMETRY WITH GEOMETRY EXPLORERBy Michael Hvidsten, Gustavus Adolphus College2005 / 352 pagesISBN: 978-0-07-312990 7 (with CD)ISBN: 978-0-07-124865-5 [IE wth CD] - (Out-of-Print)CONTENTS1. Geometry and the Axiomatic Method:Early Origins of Geometry. Thales and Pythagoras. Thales. Pythagoras.Project 1 - The Ratio Made of Gold. Golden Section. Golden Rectangles.Project Report. The Rise of the Axiomatic Method. Propertiesof Axiomatic Systems. Consistency. Independence. Completeness.Gödel’s Incompleteness Theorem. Euclid’s Axiomatic Geometry.Euclid’s Postulates. Project 2 - A Concrete Axiomatic System. ProjectReport2. Euclidean Geometry:Angles, Lines, and Parallels. Congruent Triangles and Pasch’s Axiom.Project 3 -Special Points of a Triangle. Circumcenter. Orthocenter.Incenter. Project Report. Measurement in Euclidean Geometry. Mini-Project: Area in Euclidean Geometry. Cevians and Areas. SimilarTriangles. Mini-Project: Finding Heights. Circle Geometry. Project4 -Circle Inversion and Orthogonality. Project Report. OrthogonalCircles, Redux.3. Analytic Geometry:The Cartesian Coordinate System. Vector Geometry. Angles in CoordinateGeometry. The Complex Plane. Polar Form. Complex Functions.Analytic Functions and Conformal Maps. Birkhoff’s Axiomatic Systemfor Analytic Geometry.4. Transformational Geometry:Euclidean Isometrics. Reflections. Mini-Project: Isometries ThroughReflection. Reflection and Symmetry. Translations. Translational Symmetry.Rotations. Rotational Symmetry. Project 5 - Quilts and Transformations.Glide Reflections. Glide Reflection Symmetry. Structure andRepresentation of Isometries. Matrix Form of Isometries. Compositionsof Rotations and Translations. Compositions of Reflections and GlideReflections. Isometries in Computer Graphics. Summary of IsometryCompositions. Project 6 -Constructing Compositions.5. Symmetry:Finite Plane Symmetry Groups. Frieze Groups. Wallpaper Groups.Tiling the Plane. Escher. Regular Tessellations of the Plane. Project7 - Constructing Tessellations.6. Non-Euclidean Geometry:Background and History. Models of Hyperbolic Geometry. PoincaréModel. Mini-Project: The Klein Model. Basic Results in HyperbolicGeometry. Parallels in Hyperbolic Geometry. Omega Points and Triangles.Project 8 - The Saccheri Quadrilateral. Lambert Quadrilateralsand Triangles. Lambert Quadrilaterals. Triangles in Hyperbolic Geometry.Area in Hyperbolic Geometry. Project 9 -Tiling the HyperbolicPlane. Models and Isomorphism.7. Non-Euclidean Transformations:Möbius Transformations. Fixed Points and the Cross Ratio. GeometricProperties of Möbius Transformations. Isometries in the PoincaréModel. Isometries in the Klein Model. Mini-Project: The Upper Half-Plane Model. Weierstrass Model.8. Non-Euclidean Calculation:Projection and the Angle of Parallelism. Horocycles. Project 10 -Parameterizing Horocycle Arcs. Concentric Horocycles. HyperbolicTrigonometry. Hyperbolic Right Triangle Trigonometry. General HyperbolicTrigonometry. Simplified Hyperbolic Trig Formulas. Mini-Project:Calculations in Lambert Quadrilaterals. Arclength in Cartesian Coordinates.Arclength in Polar Coordinates. Beltrami Coordinates andCategoricalness. Area. Calculation in the Poincaré Model. Arclengthof Parameterized Curves. Geodesics. The Angle of Parallelism. RightTriangles. Area. Project 11 - Infinite Real Estate?9. Fractal Geometry:The Search for a “Natural” Geometry. Self-Similarity. Sierpinski’sTriangle. Cantor Set. Similarity Dimension. Project 12 - An EndlesslyBeautiful Snowflake. Contraction Mappings and The Space of Fractals.Fractal Dimension. Project 13 - IFS Ferns. Algorithmic Geometry.Turtle Geometry. Grammars and Productions. Space-filling Curves.Project 14 - Words Into Plants: The Geometry of Life. Constructions.Euclidean Constructions. Project 15 - Euclidean Eggs. Hilbert’sGeometry. Incidence Geometry. Betweenness Geometry. Project 16- Angles and Ray Betweenness. Betweenness and Triangles. CongruenceGeometry. Triangle and Angle Congruence Results. SegmentOrdering. Project 17 - Angle Order. Continuity Geometry. SegmentMeasure. Angle Measure. Basic Results of Absolute Geometry. Continuityand Intersections. Parallelism.A. Book I of Euclid’s Elements.A.1 Definitions.A.2 The Postulates (Axioms).A.3 Common Notions.A.4 Propositions (Theorems).B. Brief Guide to Geometry Explorer.B.1 The Main Geometry Explorer Window.B.2 Selecting Objects.B.3 Active vs. Inactive Tools.B.4 Labels.B.5 Object Coloring.B.6 On-Line Help.B.7 Undo/Redo of Actions.B.8 Clearing, Resizing the Canvas.B.9 Saving Files as Images.B.10 Main Window Button Panels.B.10.1 Create Panel.B.10.2 Construct Panel.B.10.3 Transform Panel.B.11 Measurement in Geometry Explorer.B.11.1 Neutral Measurements.B.11.2 Euclidean-only Measurements.B.11.3 Hyperbolic-only Measurements.B.11.4 User Input Measurements.B.12 Using Tables.B.13 Using the Calculator.B.14 Hyperbolic Geometry.B.15 Analytic Geometry.B.16 Turtle Geometry.C. Birkhoff’s Axioms for Euclidean Geometry.D. The 17 Wallpaper GroupsCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia37

MATHEMATICS SERVICE COURSESSCHAUM’S OUTLINE OF GEOMETRYFourth EditionBy Barnett Rich (deceased) and Christopher Thomas2009 (July 2008) / 369 pagesISBN-13: 978-0-07-154412-2 / MHID: 0-07-154412-7A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latestcourse scope and sequence. The ideal review for the hundreds ofthousands of college and high school students who enroll in geometrycoursesCONTENTS1. Fundamentals of Algebra: Laws and Operations2. Fundamentals of Algebra: Equations and Formulas3. Lines, Angles, and Triangles4. Methods of Proof5. Congruent Triangles6. Parallel Lines, Distances, and Angle Sums7. Parallelograms, Trapezoids, Medians, and Midpoints8. Circles9. Similarity10. Areas11. Regular Polygons and the Circle12. Locus13. Inequalities and Indirect Reasoning14. Improvement of Reasoning15. Constructions16. Proofs of Important Theorems17. Transformational GeometrySCHAUM’S EASY OUTLINES: GEOMETRYBy Barnett Rich (deceased) and Philip A Schmidt, Associate Dean atBerea College2001 / 144 pagesISBN: 978-0-07-136973-2A Schaum’s PublicationCONTENTSChapter 1: Lines, Angles, and Triangles.Chapter 2: Deductive Reasoning.Chapter 3: Congruent Triangles.Chapter 4: Parallel Lines, Distances, and Angle Sums.Chapter 5: Trapezoids and Parallelograms.Chapter 6: Circles.Chapter 7: Similarity.Chapter 8: Areas.Chapter 9: Regular Polygons and the Circle.Chapter 10: Constructions.Liberal Arts MathematicsSCHAUM’S OUTLINE OF MATHEMATICSFOR LIBERAL ARTS MAJORSby Christopher Thomas2009 / Softcover / 240 pagesISBN: 978-0-07-154429-0(A Schaum’s Publication)Schaum’s Outline of Mathematics for Liberal Arts Majors helps studentsunderstand basic concepts and offer extra practice on suchtopics as logic, truth tables, axiom statements, consumer mathematics,probability and counting techniques, the real number system, andmore. Each chapter offers clear concise explanations of topics andinclude hundreds of practice problems with step-by-step solutions.CONTENTS1. Number Systems2. Sets3. Logic4. Fair Division5. Functions6. Geometry7. Graph Theory8. Financial Mathematics9. Probability10. Statistics11. Weighted Voting12. Voting Methods13. Transformations and Symmetry14. Iterative Processes15. TrigonometryBusiness MathematicsInternational EditionAPPLIED MATHEMATICS FOR BUSINESS,ECONOMICS AND THE SOCIAL SCIENCEFourth EditionBy Frank S. Budnick, University of Rhode Island1993 / 1,056 pagesISBN: 978-0-07-008902-0 (Out-of-Print)ISBN: 978-0-07-112580-2 [IE]CONTENTS1 Some Preliminaries2 Linear Equations3 Systems of Linear Equations4 Functions and Graphs5 Linear Functionsand Applications6 Quadratic and Polynomial Functions7 Exponential and Logarithmic Functions8 Mathematics of Finance9 Matrix Algebra10 Linear ProgrammingAn Introduction11 The Simplex Method12 Trans-portation and Assignment Models13 Introduction to Probability Theory14 Probability Distributions38

MATHEMATICS SERVICE COURSES15 Differentiation16 Optimization Methodology and Applications17 Integral Calculus An Introduction18 Integral CalculusApplications19 Optimization Functions of Several VariablesAppendix A Review of AlgebraMathematics forElementary TeachersInternational EditionSCHAUM’S OUTLINE OF INTRODUCTIONTO MATHEMATICAL ECONOMICSThird EditionBy Edward T Dowling, Fordham University2001 / 523 pagesISBN: 978-0-07-135896-5ISBN: 978-0-07-118871-5 [IE]A Schaum’s PublicationCONTENTSReview.Economic Applications of Graphs and Equations.The Derivative and the Rules of Differentiation.Uses of the Derivative in Mathematics and Economics.Calculus of Multivariable Functions.Caculus of Multivariable Functions in Economics.Exponential and Logarithmic Functions in Economics.Differentiation of Exponential and Logarithmic Functions.The Fundamentals of Linear (or Matrix) Algebra.Matrix Inversion.Special Determinants and Matrices and Their Use in Economics.Comparative Statics and Concave Programming.IUntegral Calculus: The Indefinite Integral.Integral Calculus: The Definite Integral.First-Order Differential Equations.First Order Difference Equations.Second-Order Differential Equations and Difference Equations.Simultaneous Differential and Difference Equations.The Calculus of Variations.Optimal Control Theory.SCHAUM’S OUTLINE OF MATHEMATICALMETHODS FOR BUSINESS ANDECONOMICSBy Edward T. Dowling, Fordham University1993 / 320 pagesISBN: 978-0-07-017697-3A Schaum’s PublicationCONTENTSReview.Equations and Graphs.Functions.Systems of Equations.Linear (or Matrix) Algebra.Solving Linear Equations with Matrix Algebra.Linear Programming: Using Graphs.Linear Programming: The Simplex Algorithm and the Dual.Differential Calculus: The Derivative and the Rules of Differentiation.Differential Calculus: Uses of the Derivative.Exponential and Logarithmic Functions.Integral Calculus.Calculus of Multivariable Functions.Index.NewMATH FOR ELEMENTARYTEACHERS:A Conceptual ApproachEighth EditionBy Albert B. Bennett, Univ Of New Hampshire,Laurie J. Burton, Western Oregon University, AndTed Nelson, Portland State University2010 (January 2009)ISBN: 978-0-07-017299-9www.mhhe.com/bbnOverview: Albert B. Bennett, Jr. and L. Ted Nelson have presentedhundreds of workshops on how to give future teachers the conceptualunderstanding and procedural fl uency they will need in order to successfullyteach elementary-school mathematics. The Eighth Editionof Mathematics for Elementary Teachers: A Conceptual Approachcontinues their innovative, time-tested approach: an emphasis onlearning via specifi c, realistic examples and the extensive use ofvisual aids, hands-on activities, problem-solving strategies and activeclassroom participation. Special features in the text ensure thatprospective teachers will gain not only a deeper understanding of themathematical concepts, but also a better sense of the connectionsbetween their college math courses and their future teaching experiences,along with helpful ideas for presenting math to their studentsin a way that will generate interest and enthusiasm. The text drawsheavily on NCTM Standards and contains many pedagogical elementsdesigned to foster reasoning, problem-solving and communicationskills. The text also incorporates references to the virtual manipulativekit and other online resources that enhance the authors’ explanationsand examples.CONTENTS1 Problem Solving1.1 Seeing and Extending Patterns with Pattern Blocks1.2 Geometric Number Patterns with Color Tile1.3 Solving Story Problems with Algebra Pieces2 Sets, Functions, and Reasoning2.1 Sorting and Classifying with Attribute Pieces2.2 Slope and Linear Functions on Geoboards2.3 Logic Problems for Cooperative Learning Groups3 Whole Numbers3.1 Models for Numeration with Multibase Pieces3.2 Adding and Subtracting with Multibase Pieces3.3 Multiplying with Base-Ten Pieces3.4 Dividing with Base-Ten Pieces4 Number Theory4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes4.2 Models for Greatest Common Factors and Least CommonMultiple5 Integers and Fractions5.1 Black and Red Tile Model for Integers5.2 Fractions Bar Model for Equality and Inequality5.3 Computing with Fraction Bars6 Decimals: Rational and Irrational6.1 Decimal Squares Model6.2 Operations with Decimal Squares6.3 A Model for Introducing Percent39

MATHEMATICS SERVICE COURSES6.4 Irrational Numbers on the Geoboard7 Statistics7.1 Collecting and Graphing Data7.2 Analyzing Data, Sampling, and Simulation7.3 Statistical Distributions: Observations and Applicatons8 Probability8.1 Probability Experiments8.2 Multistage Probability Experiments9 Geometric Figures9.1 Figures on Rectangular and Circular Geoboards9.2 Regular and Semiregular Tessellations9.3 Models for Regular and Semiregular Polyhedra9.4 Creating Symmetric Figures: Pattern Blocks and Paper Folding10 Measurement10.1 Measuring the Metric Units10.2 Areas on Geoboards10.3 Models for Volume and Surface Area11 Motions in Geometry11.1 Locating Sets of Points in the Plane11.2 Drawing Escher-Type Tessellations11.3 Devises for Indirect ActivitiesReferences for Research Statements by ChaptersAnswers to Selected ActivitiesAnswers to Odd-Numbered Exercises, Problems and Chapter TestsNewMATH FOR ELEMENTARYTEACHERS:An Activity ApproachEighth EditionBy Albert B. Bennett, Univ of New Hampshire,Laurie J. Burton, Western Oregon University andTed Nelson, Portland State University3.3 Multiplying with Base-Ten Pieces3.4 Dividing with Base-Ten Pieces4 Number Theory4.1 Models for Even Numbers, Odd Numbers, Factors, and Primes4.2 Models for Greatest Common Factors and Least CommonMultiple5 Integers and Fractions5.1 Black and Red Tile Model for Integers5.2 Fractions Bar Model for Equality and Inequality5.3 Computing with Fraction Bars6 Decimals: Rational and Irrational6.1 Decimal Squares Model6.2 Operations with Decimal Squares6.3 A Model for Introducing Percent6.4 Irrational Numbers on the Geoboard7 Statistics7.1 Collecting and Graphing Data7.2 Analyzing Data, Sampling, and Simulation7.3 Statistical Distributions: Observations and Applicatons8 Probability8.1 Probability Experiments8.2 Multistage Probability Experiments9 Geometric Figures9.1 Figures on Rectangular and Circular Geoboards9.2 Regular and Semiregular Tessellations9.3 Models for Regular and Semiregular Polyhedra9.4 Creating Symmetric Figures: Pattern Blocks and Paper Folding10 Measurement10.1 Measuring the Metric Units10.2 Areas on Geoboards10.3 Models for Volume and Surface Area11 Motions in Geometry11.1 Locating Sets of Points in the Plane11.2 Drawing Escher-Type Tessellations11.3 Devises for Indirect ActivitiesAnswers to Selected ActivitiesCreditsIndexMaterial CardsNCTM Standards2010 (January 2009)ISBN: 978-0-07-729794-7Browse http://www.mhhe.com/bbnThis book is designed for a mathematics for elementary schoolteachers course where instructors choose to focus on and/or takean activities approach to learning. It provides inductive activities forprospective elementary school teachers and incorporates the useof physical models, manipulatives, and visual images to developconcepts and encourage higher-level thinking. This text contains anactivity set that corresponds to each section of the companion text,Mathematics for Elementary Teachers: A Conceptual Approach whichis also by Bennett/Nelson. The Activities Approach text can be usedindependently or along with its companion volume. The authors arepleased to welcome Laurie Burton, PhD, Western Oregon Universityto this edition of Mathematics for Elementary Teachers: An ActivityApproach.CONTENTS1 Problem Solving1.1 Seeing and Extending Patterns with Pattern Blocks1.2 Geometric Number Patterns with Color Tile1.3 Solving Story Problems with Algebra Pieces2 Sets, Functions, and Reasoning2.1 Sorting and Classifying with Attribute Pieces2.2 Slope and Linear Functions on Geoboards2.3 Logic Problems for Cooperative Learning Groups3 Whole Numbers3.1 Models for Numeration with Multibase Pieces3.2 Adding and Subtracting with Multibase PiecesFinite MathematicsSCHAUM’S OUTLINE OF BEGINNINGFINITE MATHEMATICSBy Seymour Lipschutz , Temple University -Philadelphia; John J Schillerand R. Alu Srinivasan, Temple University2005 / Softcover / 368 pagesISBN: 978-0-07-138897-9Most colleges and universities now require their non-science majors totake a one- or two-semester course in mathematics. Taken by 300,000students annually, finite mathematics is the most popular. Updatedand revised to match the structures and syllabuses of contemporarycourse offerings, Schaum’s Outline of Beginning Finite Mathematicsprovides a thorough review-- with worked examples--of the fundamentalsof linear equations and linear growth. Topics covered includegames theory, descriptive statistics, normal distribution, probability,binomial distribution, and voting systems and apportionment.40

MATHEMATICS SERVICE COURSESDiscrete MathematicsInternational EditionDISCRETE MATHEMATICS AND ITSAPPLICATIONSSixth EditionBy Kenneth H. Rosen, AT&T Laboratories2007 (January 2006) / Hardcover with Access cardISBN: 978-0-07-322972-0 (with MathZone)ISBN: 978-0-07-331271-2 (with Math Zone Kit) - Out-of-PrintISBN: 978-0-07-124474-9 [IE]Browse http://www.mhhe.com/rosenDiscrete Mathematics and its Applications, Sixth Edition, is intendedfor one- or two-term introductory discrete mathematics courses takenby students from a wide variety of majors, including computer science,mathematics, and engineering. This renowned best-selling text, whichhas been used at over 500 institutions around the world, gives a focusedintroduction to the primary themes in a discrete mathematicscourse and demonstrates the relevance and practicality of discretemathematics to a wide a wide variety of real-world applications…fromcomputer science to data networking, to psychology, to chemistry,to engineering, to linguistics, to biology, to business, and to manyother important fi elds.CONTENTSPreface. The Companion Website. To the Student.1 The Foundations: Logic and Proof, Sets, and Functions1.1 Logic1.2 Propositional Equivalences1.3 Predicates and Quantifiers1.4 Nested Quantifiers1.5 Methods of Proof1.6 Sets1.7 Set Operations1.8 FunctionsEnd-of-Chapter Material.2 The Fundamentals: Algorithms, the Integers, and Matrices2.1 Algorithms2.2 The Growth of Functions2.3 Complexity of Algorithms2.4 The Integers and Division2.5 Integers and Algorithms2.6 Applications of Number Theory2.7 MatricesEnd-of-Chapter Material.3 Mathematical Reasoning, Induction, and Recursion3.1 Proof Strategy3.2 Sequences and Summations3.3 Mathematical Induction3.4 Recursive Definitions and Structural Induction3.5 Recursive Algorithms3.6 Program CorrectnessEnd-of-Chapter Material.4 Counting4.1 The Basics of Counting4.2 The Pigeonhole Principle4.3 Permutations and Combinations4.4 Binomial Coefficients4.5 Generalized Permutations and Combinations4.6 Generating Permutations and Combinations.End-of-Chapter Material.5 Discrete Probability5.1 An Introduction to Discrete Probability5.2 Probability Theory5.3 Expected Value and Variance.End-of-Chapter Material.6 Advanced Counting Techniques6.1 Recurrence Relations6.2 Solving Recurrence Relations6.3 Divide-and-Conquer Algorithms and Recurrence Relations6.4 Generating Functions6.5 Inclusion-Exclusion6.6 Applications of Inclusion-ExclusionEnd-of-Chapter Material.7 Relations7.1 Relations and Their Properties7.2 n-ary Relations and Their Applications7.3 Representing Relations7.4 Closures of Relations7.5 Equivalence Relations7.6 Partial OrderingsEnd-of-Chapter Material.8 Graphs8.1 Introduction to Graphs8.2 Graph Terminology8.3 Representing Graphs and Graph Isomorphism8.4 Connectivity8.5 Euler and Hamilton Paths8.6 Shortest-Path Problems8.7 Planar Graphs8.8 Graph ColoringEnd-of-Chapter Material.9 Trees9.1 Introduction to Trees9.2 Applications of Trees9.3 Tree Traversal9.4 Spanning Trees9.5 Minimum Spanning TreesEnd-of-Chapter Material10 Boolean Algebra10.1 Boolean Functions10.2 Representing Boolean Functions10.3 Logic Gates10.4 Minimization of CircuitsEnd-of-Chapter Material.11 Modeling Computation11.1 Languages and Grammars11.2 Finite-State Machines with Output11.3 Finite-State Machines with No Output11.4 Language Recognition11.5 Turing Machines End-of-Chapter MaterialAppendixesA.1 Exponential and Logarithmic FunctionsA.2 Pseudocode Suggested ReadingsAnswers to Odd-Numbered ExercisesPhoto CreditsIndex of BiographiesIndex41

MATHEMATICS SERVICE COURSESInternational EditionDISCRETE MATHEMATICS BY EXAMPLEBy Andrew Simpson, Oxford Brookes2002 / 450 pagesISBN-13: 978-0-07-709840-7 / MHID: 0-07-709840-4ISBN-13: 978-0-07-122914-2 / MHID: 0-07-122914-0 [IE]<strong>McGraw</strong>-<strong>Hill</strong> UK TitleCONTENTS1 Introduction.2 Numbers.3 Propositional logic.4 Set theory.5 Boolean algebra.6 Typed set theory.7 Predicate logic.8 Relations.9 Functions.10 Sequences.11 Induction.12 Graph theory.13 Combinatorics.14 Modelling.15 Analysis.International EditionSCHAUM’S 2,000 SOLVED PROBLEMS INDISCRETE MATHEMATICSBy Seymour Lipschutz, Temple University1992 / 412 pagesISBN-13: 978-0-07-038031-8 / MHID: 0-07-038031-7ISBN-13: 978-0-07-112690-8 / MHID: 0-07-112690-2 [IE](Out of Print)A Schaum’s Publication(International Edition is not for sale in Japan.)CONTENTSSet Theory.Relations.Functions.Vectors and Matrices.Graph Theory.Planar Graphs and Trees.Directed Graphs and Binary Trees.Combinatorial Analysis.Algebraic Systems.Languages, Grammars, Automata.Ordered Sets and Lattices.Propositional Calculus.Boolean Algebra.Logic Gates.SCHAUM’S OUTLINE OF DISCRETEMATHEMATICS3rd EditionBy Seymour Lipschutz, Temple University-Philadelphia and Marc Lipson,University of Georgia2008 (July 2007) / 496 pagesISBN-13: 978-0-07-147038-4 / MHID: 0-07-147038-7A Schaum’s PublicationDiscrete mathematics becomes more and more important as thedigital age goes forward. This newly revised third edition updates allareas of the subject.CONTENTSSet TheoryRelationsFunctions and AlgorithmsLogic and Propositional CalculusCountingAdvanced Counting TechniquesComputer ArithmeticProbability TheoryGraph TheoryDirected GraphsBinary TreesProperties of the IntegersCryptologyLanguages, Grammar, MachinesOrdered Sets and LatticesBoolean AlgebraAppendix A: Vectors and MatricesAppendix B: Algebraic SystemsCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia42

MATHEMATICS SERVICE COURSESTechnical MathematicsMASTERING TECHNICAL MATHEMATICSThird EditionBy Stan Gibilisco and Norman H. Crowhurst (deceased)2008 / 627 pagesISBN: 978-0-07-149448-9A thorough revision of the classic tutorial of scientific and engineeringmathematics. For more than fifteen years, Mastering TechnicalMathematics has been the definitive self-teaching guide for thosewishing to boost their career by learning the principles of mathematicsas they apply to science and engineering. Featuring the sameuser-friendly pedagogy, practical examples, and detailed illustrationsthat have made this resource a favorite of the scientific and technicalcommunities, the new third edition delivers four entirely new chaptersand expanded treatment of cutting-edge topics.CONTENTSPART 1: WORKING WITH NUMBERSCh 1. From Counting to AdditionCh 2. SubtractionCh 3. MultiplicationCh 4. DivisionCh 5. FractionsCh 6. Area and VolumeCh 7. Time as a DimensionPART 2: ALGEBRA, GEOMETRY, AND TRIGONOMETRYCh 8. First Notions in AlgebraCh 9. “School” AlgebraCh 10. Quadratic EquationsCh 11. Some Useful ShortcutsCh 12. Mechanical MathematicsCh 13. Ratio and ProportionCh 14. Trigonometric and Geometric CalculationsPART 3: ANALYSIS AND CALCULUSCh 15. Systems of CountingCh 16. Theory of ProgressionsCh 17. Practical ProgressionsCh 18. Analyzing MotionCh 19. Developing Calculus TheoryCh 20. Combining Calculus with Other ToolsCh 21. Coordinate Systems and GraphsCh 22. Imaginary and Complex NumbersPART 4: TOOLS OF APPLIED MATHEMATICSCh 23. Working with SeriesCh 24. LogarithmsCh 25. Handy Formulas and TechniquesCh 26. Calculation AidsCh 27. Digital MathematicsCh 28. Vector QuantitiesCh 29. Scientific NotationCh 30. Working with StatisticsMATHEMATICS FOR TECHNICIANSSixth EditionBy Blair Alldis, Randwick College of TAFE2007 / Softcover / 446 pagesISBN: 978-0-07-013165-1<strong>McGraw</strong>-<strong>Hill</strong> Australia TitleMathematics for Technicians remains the leading Australian text forstudents of stage one courses in mathematics, including EngineeringMaths A and Engineering Maths B. The new thoroughly revisedsixth edition incorporates the successful building block approach ofthe previous edition, and includes banks of exercises and workedexamples, and self-test questions ideal for revision and exam preparation.Subjects covered include basic arithmetic, algebra, geometryand trigonometry, logarithms and exponential functions, functionsand their graphs (circle, parabola, hyperbola), trigonometrical functionsand their graphs, phase angles and introductions to vectors,determinants and matrices. A chapter on rotational equilibrium andelementary frame analysis has been introduced for Civil Engineeringstudents. Answers to questions in the text have been relocated fromthe CD to the back of the book for ease of use.. CD-Rom Continuingthe successful innovation of the previous edition, the CD-Rom includesscores of extra exercises and questions for each chapter.INVITATION TO PUBLISH<strong>McGraw</strong>-<strong>Hill</strong> is interested inreviewing textbook proposal forpublication. Please contact yourlocal <strong>McGraw</strong>-<strong>Hill</strong> office or email toasiapub@mcgraw-hill.comVisit <strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)Website: www.mheducation.asia43

MATHEMATICS SERVICE COURSES44

PRECALCULUSCollege Algebra ..................................................................................................47College Algebra with Trigonometry .....................................................................52Precalculus .........................................................................................................54Trigonometry ......................................................................................................5145

NEW TITLESPRECALCULUS2010 Author ISBN-13 PageAlgebra & Trigonometry, 2e Coburn 9780077276515 52College Algebra, 2e Coburn 9780077276492 47College Algebra Essentials, 2e Coburn 9780077297909 48PRECALCULUS2009 Author ISBN-13 PageCollege Algebra: Graphs and Models, 3e Barnett 9780077221287 49Precalculus: Graphs and Models, 3e Barnett 9780077221294 56Precalculus, 2e Coburn 9780077276508 5446

PRECALCULUSNewCollege AlgebraCOLLEGE ALGEBRASecond EditionBy John W. Coburn, Saint Louis Community College-FlorissantValley2010 (January 2009)ISBN: 978-0-07-727649-2www.mhhe.com/coburnThree components contribute to a theme sustained throughoutthe Coburn Series: that of laying a firm foundation, building a solidframework, and providing strong connections. Not only does Coburnpresent a sound problem-solving process to teach students to recognizea problem, organize a procedure, and formulate a solution,the text encourages students to see beyond procedures in an effortto gain a greater understanding of the big ideas behind mathematicalconcepts. Written in a readable, yet mathematically mature mannerappropriate for college algebra level students, Coburn’s College Algebrauses narrative, extensive examples, and a range of exercisesto connect seemingly disparate mathematical topics into a cohesivewhole. Coburn’s hallmark applications are born out of the author’sextensive experiences in and outside the classroom, and appeal tothe vast diversity of students and teaching methods in this coursearea. Benefiting from the feedback of hundreds of instructors andstudents across the country, College Algebra second edition, continuesto emphasize connections in order to improve the level of studentengagement in mathematics and increase their chances of successin college algebra.NEW TO THIS EDITION Interior Design - The trim size of the book has been increasedto provide more white space on the page, improve readability, anddecrease the length of the book. The font size has been increasedthroughout. The size of graphs and diagrams has been increasedwhere necessary. Updated Examples - Titles have been added to Examples andthe Examples have been scrutinized for clarity, length, and relevanceto current topics. “Overlapping” Examples have been removed. Learning Objectives - These are clearly tied to sub-sections in thetext. Margin “checkpoints” throughout each section let students knowwhen a specific learning objective has been covered and reinforcesthe use of correct mathematical terms. Suggested Homework - A list of suggested homework assignmentshas been added to each exercise section in the AnnotatedInstructor’s Edition to provide instructors with guidelines for developingcore, standard, extended, and in-depth assignments. Organizational Changes - Coverage of absolute value equationsand inequalities has been added to Chapter 1. Chapters 2, 3, and4 have been significantly reorganized based on reviewer feedback.Coverage of circles is now introduced in Chapter 2 with coverage ofthe mid-point and distance formulas. Variation is now covered afterpolynomial and rational functions. Coverage of one-to-one and inversefunctions has moved to Chapter 4 on Exponents and Logarithms.Systems and Matrices are now covered in two separate chapters.FEATURES Mid-Chapter Checks - Tests students on the skills they shouldhave learned through the first half of the chapter. Writing, Research, and Decision-Making Problems - These providestudents an opportunity for online research, conceptual thinking,and writing. Technology Highlights and Calculator Exploration & Discovery- These are designed to further explore a given topic with the graphingcalculator.CONTENTSChapter R: A Review of Basic Concepts and SkillsR-1 The Language, Notation, and Numbers of MathematicsR-2 Algebraic Expressions and the Properties of Real NumbersR-3 Exponents, Scientific Notation, and a Review of PolynomialsR-4 Factoring PolynomialsR-5 Rational ExpressionsR-6 Radicals and Rational ExponentsChapter 1: Equations and Inequalities1-1 Linear Equations, Formulas, and Problem Solving1-2 Linear Inequalities in One Variable1-3 Absolute Value Equations and Inequalities1-4 Complex Numbers1-5 Solving Quadratic Equations1-6 Solving Other Types of EquationChapter 2: Relations, Functions and Graphs2-1 Rectangular Coordinates; Graphing Circles and Relations2-2 Graphs of Linear Equations2-3 Linear Equations and Rates of Change2-4 Functions, Notation, and Graphs of Functions2-5 Analyzing the Graph of a Function2-6 Toolbox Functions and Transformations2-7 Piecewise-Defined Functions2-8 The Algebra and Composition of FunctionsChapter 3: Polynomial and Rational Functions3-1 Quadratic Functions and Applications3-2 Synthetic Division; The Remainder and Factor Theorems3-3 The Zeroes of Polynomial Functions3-4 Graphing Polynomial Functions3-5 Graphing Rational Functions3-6 Additional Insights into Rational Functions3-7 Polynomial and Rational Inequalities3-8 Variation: Function Models in ActionChapter 4: Exponential and Logarithmic Functions4-1 One-to-One and Inverse Functions4-2 Exponential Functions4-3 Logarithms and Logarithmic Functions4-4 Properties of Logarithms; Solving Exponential and LogarithmicEquations4-5 Applications from Business, Finance, and Science4-6 Business, Finance, and Science ApplicationsChapter 5: Systems of Equations and Inequalities5-1 Linear Systems in Two Variables with Applications5-2 Linear Systems in Three Variables with Applications5-3 Nonlinear Systems of Equations and Inequalities5-4 Systems of Inequalities and Linear ProgrammingChapter 6: Matrices and Matrix Applications6-1 Solving Systems Using Matrices and Row Operations6-2 The Algebra of Matrices6-3 Solving Linear Systems Using Matrix Equations6-4 Applications of Matrices and Determinants:Chapter 7: Analytical Geometry and Conic Sections7-1 Introduction to Analytic Geometry7-2 The Circle and the Ellipse7-3 The Hyperbola7-4 The Analytic ParabolaChapter 8: Additional Topics in Algebra8-1 Sequences and Series8-2 Arithmetic Sequences47

PRECALCULUS8-3 Geometric Sequences8-4 Mathematical Induction8-5 Counting Techniques8-6 Introduction to Probability8-7 The Binomial TheoremAPPENDICESA-1 More on Synthetic DivisionA-2 More on MatricesA-3 Deriving the Equation of a ConicA-4 Proof Positive--A Selection of Proofs from College AlgebraNewCOLLEGE ALGEBRAESSENTIALSSecond EditionJohn W. Coburn, Saint Louis Community College-Florissant Valley2010 (January 2009)ISBN: 978-0-07-729790-9www.mhhe.com/coburnThree components contribute to a theme sustained throughoutthe Coburn Series: that of laying a firm foundation, building a solidframework, and providing strong connections. Not only does Coburnpresent a sound problem-solving process to teach students to recognizea problem, organize a procedure, and formulate a solution,the text encourages students to see beyond procedures in an effortto gain a greater understanding of the big ideas behind mathematicalconcepts. Written in a readable, yet mathematically mature mannerappropriate for college algebra level students, Coburn’s CollegeAlgebra Essentials uses narrative, extensive examples, and a rangeof exercises to connect seemingly disparate mathematical topics intoa cohesive whole. Coburn’s hallmark applications are born out of theauthor’s extensive experiences in and outside the classroom, andappeal to the vast diversity of students and teaching methods in thiscourse area. Benefiting from the feedback of hundreds of instructorsand students across the country, College Algebra Essentials secondedition, continues to emphasize connections in order to improvethe level of student engagement in mathematics and increase theirchances of success in college algebra.NEW TO THIS EDITION Interior Design - The trim size of the book has been increasedto provide more white space on the page, improve readability, anddecrease the length of the book. The font size has been increasedthroughout. The size of graphs and diagrams has been increasedwhere necessary. Updated Examples - Titles have been added to Examples andthe Examples have been scrutinized for clarity, length, and relevanceto current topics. “Overlapping” Examples have been removed. Learning Objectives - These are clearly tied to sub-sections in thetext. Margin “checkpoints” throughout each section let students knowwhen a specific learning objective has been covered and reinforcesthe use of correct mathematical terms. Suggested Homework - A list of suggested homework assignmentshas been added to each exercise section in the AnnotatedInstructor’s Edition to provide instructors with guidelines for developingcore, standard, extended, and in-depth assignments. Organizational Changes - Coverage of absolute value equationsand inequalities has been added to Chapter 1. Chapters 2, 3, and4 have been significantly reorganized based on reviewer feedback.Coverage of circles is now introduced in Chapter 2 with coverage ofthe mid-point and distance formulas. Variation is now covered afterpolynomial and rational functions. Coverage of one-to-one and inversefunctions has moved to Chapter 4 on Exponents and Logarithms.Systems and Matrices are now covered in two separate chapters.FEATURES Mid-Chapter Checks - This feature can be used for homework assignmentsor used as topics for in-class discussion or group work. Writing, Research, and Decision-Making Problems - Theseprovide students an opportunity for online research, conceptualthinking, and writing. Technology Highlights and Calculator Exploration & Discovery- These are designed to further explore a given topic with the graphingcalculator.CONTENTSChapter R: A Review of Basic Concepts and SkillsR-1 The Language, Notation, and Numbers of MathematicsR-2 Algebraic Expressions and the Properties of Real NumbersR-3 Exponents, Scientific Notation, and a Review of PolynomialsR-4 Factoring PolynomialsR-5 Rational ExpressionsR-6 Radicals and Rational ExponentsChapter 1: Equations and Inequalities1-1 Linear Equations, Formulas, and Problem Solving1-2 Linear Inequalities in One Variable1-3 Absolute Value Equations and Inequalities1-4 Complex Numbers1-5 Solving Quadratic Equations1-6 Solving Other Types of EquationsChapter 2: Relations, Functions and Graphs2-1 Rectangular Coordinates; Graphing Circles and Relations2-2 Graphs of Linear Equations2-3 Linear Equations and Rates of Change2-4 Functions, Notation, and Graphs of Functions2-5 Analyzing the Graph of a Function2-6 Toolbox Functions and Transformations2-7 Piecewise-Defined Functions2-8 The Algebra and Composition of FunctionsChapter 3: Polynomial and Rational Functions3-1 Quadratic Functions and Applications3-2 Synthetic Division; The Remainder and Factor Theorems3-3 The Zeroes of Polynomial Functions3-4 Graphing Polynomial Functions3-5 Graphing Rational Functions3-6 Additional Insights into Rational Functions3-7 Polynomial and Rational Inequalities3-8 Variation: Function Models in ActionChapter 4: Exponential and Logarithmic Functions4-1 One-to-One and Inverse Functions4-2 Exponential Functions4-3 Logarithms and Logarithmic Functions4-4 Properties of Logarithms; Solving Exponential and LogarithmicEquations4-5 Applications from Business, Finance, and Science4-6 Business, Finance, and Science ApplicationsChapter 5: Systems of Equations and Inequalities5-1 Linear Systems in Two Variables with Applications5-2 Linear Systems in Three Variables with Applications5-3 Nonlinear Systems of Equations and Inequalities5-4 Systems of Inequalities and Linear ProgrammingAPPENDICESA-1 More on Synthetic DivisionA-2 More on MatricesA-3 Deriving the Equation of a ConicA-4 Proof Positive--A Selection of Proofs from from College Algebra48

PRECALCULUSGo to www.mathzone.com to learn more.NewCOLLEGE ALGEBRA: GRAPHSAND MODELSThird EditionBy Raymond A Barnett, Merritt College, Michael RZiegler and Karl E Byleen of Marquette University,David Sobecki, Miami University-Hamilton2009 (February 2008)ISBN: 978-0-07-722128-7 (Mandatory Package)http://www.mhhe.com/barnettThe Barnett Graphs & Models series in college algebra and precalculusmaximizes student comprehension by emphasizing computationalskills, real-world data analysis and modeling, and problem solvingrather than mathematical theory. Many examples feature side-by-sidealgebraic and graphical solutions, and each is followed by a matchedproblem for the student to work. This active involvement in the learningprocess helps students develop a more thorough understanding ofconcepts and processes. A hallmark of the Barnett series, the functionconcept serves as a unifying theme. A major objective of this book isto develop a library of elementary functions, including their importantproperties and uses. Employing this library as a basic working tool,students will be able to proceed through this course with greaterconfidence and understanding as they first learn to recognize thegraph of a function and then learn to analyze the graph and use it tosolve the problem. Applications included throughout the text give thestudent substantial experience in solving and modeling real worldproblems in an effort to convince even the most skeptical student thatmathematics is really useful.NEW TO THIS EDITION The narrative has been extensively reworked in order to makethe language less formal and more engaging for students. A new interior design offers a cleaner presentation of conceptsand pedagogy. More examples featuring side-by-side algebraic and graphicalsolutions have been added to better integrate solution methods. Annotated steps, in small colored type, are used more frequentlyto walk students through each critical step in the problem-solvingprocess. Expanded exercise sets provide additional practice, especiallyat the easy to moderate levels. An Annotated Instructor’s Edition is now available for instructorsand provides answers to each problem in the exercise set on the samepage as the problem appears. MATHZONE <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, onlinetutorial and course management system for mathematics andstatistics, designed for greater ease of use than any other systemavailable. Instructors can create and share courses and assignmentswith colleagues and adjuncts in a matter of a few clicks ofa mouse. All instructor teaching resources are accessed online,as well as student assignments, questions, e-Professors, onlinetutoring and video lectures which are directly tied to text specificmaterial. MathZone courses are customized to your textbook, butyou can edit questions and algorithms, import your own content, createannouncements and due dates for assignments. MathZone hasautomatic grading and reporting of easy-to-assign algorithmicallygenerated homework, quizzing and testing. Student activity withinMathZone is automatically recorded and available to you througha fully integrated grade book than can be downloaded to Excel.CONTENTSCHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS1-1 Using Graphing Utilities1-2 Functions1-3 Functions: Graphs and Properties1-4 Functions: Graphs and Transformations1-5 Operations on Functions; Composition1-6 Inverse FunctionsChapter 1 ReviewChapter 1 Group Activity: Mathematical Modeling–Choosing a LongDistance Calling PlanCHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNC-TIONS2-1 Linear Functions2-2 Linear Equations and Models2-3 Quadratic Functions2-4 Complex Numbers2-5 Quadratic Equations and Models2-6 Additional Equation Solving Techniques2-7 Solving InequalitiesChapter 2 ReviewChapter 2 Group Activity: Mathematical Modeling in PopulationStudiesCumulative Review Exercise for Chapters 1 and 2CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS3-1 Polynomial Functions And Models3-2 Polynomial Division3-3 Real Zeros and Polynomial Inequalities3-4 Complex Zeros and Rational Zeros of Polynomials3-5 Rational Functions and Inequalities3-6 Variation and ModelingChapter 3 ReviewChapter 3 Group Activity: Interpolating PolynomialsCHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMICFUNCTIONS4-1 Exponential Functions4-2 Exponential Models4-3 Logarithmic Functions4-4 Logarithmic Models4-5 Exponential and Logarithmic EquationsChapter 4 ReviewCumulative Review Chapters 3 and 4Chapter 4 Group Activity: Comparing Regression ModelsCumulative Review Exercise for Chapters 3 and 4CHAPTER 5 MODELING WITH SYSTEMS OF EQUATIONS ANDINEQUALITIES5-1 Systems of Linear Equations in Two Variables5-2 Systems of Linear Equations in Three Variables5-3 Systems of Linear Inequalities5-4 Linear ProgrammingChapter 5 ReviewChapter 5 Group Activity: Modeling with Systems of EquationsCHAPTER 6 MATRICES AND DETERMINANTS6-1 Matrix Solutions to Linear Systems6-2 Matrix Operations6-3 Inverse of a Square Matrix6-4 Matrix Equations and Systems of Linear Equations6-5 Determinants6-6 Properties of Determinants6-7 Determinants and Cramer’s RuleChapter 6 ReviewChapter 6 Group Activity: Using Matrices to Find Cost, Revenue,and ProfitCumulative Review Exercise for Chapters 5 and 6CHAPTER 7 SEQUENCES, INDUCTION, PROBABILITY7-1 Sequences and Series7-2 Mathematical Induction7-3 Arithmetic and Geometric Sequences7-4 Multiplication Principle, Permutations, and Combinations49

PRECALCULUS7-5 Sample Spaces and Probability7-6 Binomial FormulaChapter 7 ReviewChapter 7 Group Activity: Sequences Specified by Recursion FormulasCHAPTER 8 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY8-1 Conic Sections; Parabola8-2 Ellipse8-3 Hyperbola8-4 Systems of Nonlinear Equations8-5 Rotation of AxesChapter 8 ReviewChapter 8 Group Activity: Focal ChordsCumulative Review Exercise for Chapters 7 and 8Appendix A BASIC ALGEBRA REVIEWA-1 Algebra and Real NumbersA-2 ExponentsA-3 RadicalsA-4 Polynomials: Basic OperationsA-5 Polynomials: FactoringA-6 Rational Expressions: Basic OperationsA-7 Linear Equations and InequalitiesA-8 Cartesian Coordinate SystemA-9 Basic Formulas in Analytic GeometryAppendix A ReviewAppendix A Group Activity: Rational Number RepresentationsAppendix B SPECIAL TOPICSB-1 Significant DigitsB-2 Partial FractionsB-3 Parametric EquationsAppendix C GEOMETRIC FORMULASCOLLEGE ALGEBRAEighth EditionBy Raymond Barnett, Merritt College, Michael Ziegler and Karl Byleen ofMarquette University2008 (January 2007)ISBN: 978-0-07-331262-0www.mhhe.com/barnettThe Barnett, Ziegler, Byleen College Algebra series is designed to beuser friendly and to maximize student comprehension. The goal of thisseries is to emphasize computational skills, ideas, and problem solvingrather than mathematical theory. The large number of pedagogicaldevices employed in this text will guide a student through the course.Integrated throughout the text, the students and instructors will findExplore-Discuss boxes which encourage students to think criticallyabout mathematically concepts. In each section, the worked examplesare followed by matched problems that reinforce the concept beingtaught. In addition, the text contains an abundance of exercises andapplications that will convince students that math is useful.CONTENTSChapter R: Basic Algebraic OperationsR-1 Algebra and Real NumbersR-2 ExponentsR-3 RadicalsR-4 Polynomials: Basic OperationsR-5 Polynomials: FactoringR-6 Rational Expressions: Basic OperationsChapter R ReviewChapter R Group Activity: Rational Number RepresentationsChapter 1: Equations and Inequalities1-1 Linear Equations and Applications1-2 Linear Inequalities1-3 Absolute Value1-4 Complex Numbers1-5 Quadratic Equations and Applications1-6 Equations Involving RadicalsChapter 1 ReviewChapter 1 Group Activity: Solving a Cubic EquationChapter 2: Graphs2-1 Cartesian Coordinate system2-2 Distance in the Plane2-3 Equations of a line2-4 Linear Equations and ModelsChapter 2 ReviewChapter 2 Group Activity: Rates of ChangeChapter 3: Functions3-1 Functions3-2 Graphing Functions3-3 Transformations of Functions3-4 Quadratic Functions3-5 Combining Functions; Composition3-6 Inverse FunctionsChapter 3 ReviewChapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling PlanChapters 1-3 Cumulative Review ExercisesChapter 4: Polynomials and Rational Functions4-1 Polynomial Functions and Models4-2 Real Zeros and Polynomial Inequalities4-3 Complex Zeros and Rational Zeros of Polynomials4-4 Rational Functions and Inequalities4-5 Variation and ModelingChapter 4 ReviewChapter 4 Group Activity: Interpolating PolynomialsChapter 5: Exponential and Logarithmic Functions5-1 Exponential Functions5-2 Exponential Models5-3 Logarithmic Functions5-4 Logarithmic Models5-5 Exponential and Logarithmic EquationsChapter 5 ReviewChapter 5 Group Activity: Growth of Increasing FunctionsChapters 4-5 Cumulative Review ExercisesChapter 6: Additional Topics in Analytic Geometry6-1 Conic Sections; Parabolas6-2 Ellipses6-3 HyperbolasChapter 6 ReviewChapter 6 Group Activity: Focal ChordsChapter 7: Systems of Equations and Inequalities; Matrices7-1 Systems of Linear Equations: Graphing and Substitution7-2 Systems of Linear Equations: Elimination7-3 Systems of Linear Equations: Gauss-Jordan Elimination7-4 Matrices: Basic Operations7-5 Systems of Linear Equations: Matrix Inverse Methods7-6 Systems of Nonlinear Equations7-7 Systems of Linear Inequalities in Two Variables7-8 Linear ProgrammingChapter 7 ReviewChapter 7 Group Activity: Modeling With Systems of Linear EquationsChapter 8: Sequences and Series8-1 Sequences and Series8-2 Mathematical Induction8-3 Arithmetic and Geometric Sequences8-4 Counting Techniques: Multiplication Principle, Permutations, andCombinations8-5 Sample Spaces and Probability8-6 Binomial FormulaChapter 8 ReviewChapter 8 Group Activity: Sequences Specified by Recursion FormulasChapters 6-8 Cumulative Review ExercisesAppendix A: Special TopicsA-1 Scientific Notation and Significant DigitsA-2 Partial FractionsA-3 Parametric EquationsAppendix B: Geometric Formulas50

PRECALCULUSSCHAUM’S OUTLINE OF COLLEGEALGEBRAThird EditionBy Robert Moyer, Ph.D., Fort Valley State College, and Murray R. Spiegel,Deceased2007 (December 2005) / 376 pages / SoftcoverISBN: 978-0-07-145227-4A Schaum’s PublicationAlgebra, the foundation for all higher mathematics, is explained toboth beginners and those reviewing algebra for further work in math,science, and engineering. This superior study guide--with a first editionthat sold more than 600,000 copies--examines the most current terminology,emphasis, and technology. The new edition also includes:Greater emphasis on graphing calculatorsClarified material on logarithms and determinantsA simplified review of fractionsSCHAUM’S EASY OUTLINE: COLLEGEALGEBRABy Murray R. Spiegel (Deceased) and Robert Moyer, Fort Valley StateCollege2000 / 160 pagesISBN: 978-0-07-052709-6A Scahum’s PublicationCONTENTSFunctions, Limits, Continuity.Fundamental Differentiation.Implicit Differentiation.Tangents and Normals.Maxima and Minima.Differentiating for Special Functions.Implicit Differentiating.The Law of the Mean.Indeterminate Forms.Differentials.Curve Tracing.Fundamental Integration.Applications of Indefinite Integrals.The Definite Integral.Plane Areas of Integration.Exponential and Logarithmic Functions.Exponential Growth and Decay.Improper Integrals.INVITATION TO PUBLISH<strong>McGraw</strong>-<strong>Hill</strong> is interested inreviewing textbook proposal forpublication. Please contact yourlocal <strong>McGraw</strong>-<strong>Hill</strong> office or email toasiapub@mcgraw-hill.comTrigonometryTRIGONOMETRYBy John Coburn, St Louis Community College-Flors Valley2008 (January 2007)ISBN: 978-0-07-331266-8Browse http://www.mhhe.com/coburnThis trigonometry text is written in a friendly and an easy to understandmanner in order to help students understand the conceptspresented. This feature combined with ample examples, a broadrange of exercises, and engaging real-world applications, give thestudent the right tools to succeed. There are specific features andexercise problems to incorporate graphing calculator technology forthose interested, however the material is presented in a way so thatit may be skipped for those not utilizing technology.CONTENTSChapter 1: An Introduction to TrigonometryPreview1.1 Angle Measure, Special Triangles, and Special Angles1.2 The Trigonometry of Right Triangles1.3 Trigonometry and the Coordinate Plane1.4 Unit Circles and Trigonometric FunctionsChapter 2: Trigonometric Graphs and Models2.1 Graphs of Sine and Cosine Functions2.2 Graphs of Tangent and Cotangent Functions2.3 Transformations and Applications of Trigonometric Graphs2.4 Trigonometric ModelsChapter 3: Trig Identities: Their Purpose, Place, and ApplicationPreview3.1 Fundamental Identities and Families of Identities3.2 Constructing and Verifying Identities3.3 The Sum and Difference Identities3.4 Double Angle, Half Angle, and Product-to-Sum IdentitiesChapter 4: Trigonometric EquationsPreview4.1 One-to-One and Inverse Functions4.2 The Inverse Trig Functions and their Application4.3 Solving Basic Trig Equations4.4 General Trig Equations and Applications4.5 Parametric Equations and GraphsChapter 5: Applications of TrigonometryPreview5.1 Oblique Triangles and the Law of Sines5.2 Law of Sines and the Ambiguous Case5.3 The Law of Cosines5.4 Vectors and Vector Diagrams5.5 Vectors Applications and the Dot Product5.6 Complex Numbers5.7 Complex Numbers in Trigonometric Form5.8 Demoivre’s Theorem and the Nth Roots TheoremChapter 6: Conic Sections and Polar CoordinatesPreview6.1 The Circle and the Ellipse6.2 The Hyperbola6.3 Foci and the Analytic Ellipse and Hyperbola6.4 The Analytic Parabola6.5 Polar Coordinates, Equations, and Graphs6.6 More on the Conic Sections: Rotations of Axes and Polar FormVisit <strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)Website: www.mheducation.asia51

PRECALCULUSSCHAUM’S OUTLINE OF TRIGONOMETRYFourth EditionBy Robert Moyer, Fort Valley State University and Frank Ayres (deceased)2009 (July 2008) / 211 pagesISBN: 978-0-07-154350-7A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latestcourse scope and sequence. The ideal review for the hundreds ofthousands of college and high school students who enroll in trigonometrycourses.CONTENTS1. Angles and Applications2. Trigonometric Functions of a General Angle3. Trigonometric Functions of an Acute Angle4. Solutions of Right Triangles5. Practical Applications6. Reduction to Functions of Positive Acute Angles7. Variation and Graphs of the Trigonometric Functions8. Basic Relationships and Identities9. Trigonometric Functions of Two Angles10. Sum, Difference, and Product Formulas11. Oblique Triangles12. Area of a Triangle13. Inverses of Trigonometric Functions14. Trigonomeric Equations15. Complex NumbersCollege Algebra withTrigonometryNewInternational EditionALGEBRA & TRIGONOMETRYSecond EditionBy John W. Coburn, Saint Louis Community College-FlorissantValley2010 (February 2009)ISBN: 978-0-07-727651-5ISBN: 978-0-07-017300-2 [IE]www.mhhe.com/coburnThree components contribute to a theme sustained throughoutthe Coburn Series: that of laying a fi rm foundation, building a solidframework, and providing strong connections. Not only does Coburnpresent a sound problem-solving process to teach students to recognizea problem, organize a procedure, and formulate a solution,the text encourages students to see beyond procedures in an effortto gain a greater understanding of the big ideas behind mathematicalconcepts. Written in a readable, yet mathematically mature mannerappropriate for college algebra level students, Coburn’s Algebra &Trigonometry uses narrative, extensive examples, and a range ofexercises to connect seemingly disparate mathematical topics into acohesive whole. Coburn’s hallmark applications are born out of theauthor’s extensive experiences in and outside the classroom, andappeal to the vast diversity of students and teaching methods in thiscourse area. Benefi ting from the feedback of hundreds of instructorsand students across the country, Algebra & Trigonometry secondedition, continues to emphasize connections in order to improvethe level of student engagement in mathematics and increase theirchances of success in college algebra.NEW TO THIS EDITION Interior Design - The trim size of the book has been increasedto provide more white space on the page, improve readability, anddecrease the length of the book. The font size has been increasedthroughout. The size of graphs and diagrams has been increasedwhere necessary. Updated Examples - Titles have been added to Examples andthe Examples have been scrutinized for clarity, length, and relevanceto current topics. “Overlapping” Examples have been removed. Learning Objectives - These are clearly tied to sub-sections in thetext. Margin “checkpoints” throughout each section let students knowwhen a specific learning objective has been covered and reinforcesthe use of correct mathematical terms. Suggested Homework - A list of suggested homework assignmentshas been added to each exercise section in the AnnotatedInstructor’s Edition to provide instructors with guidelines for developingcore, standard, extended, and in-depth assignments. Organizational Changes - Coverage of absolute value equationsand inequalities has been added to Chapter 1. Chapters 2, 3, and4 have been significantly reorganized based on reviewer feedback.Coverage of circles is now introduced in Chapter 2 with coverage ofthe mid-point and distance formulas. Variation is now covered afterpolynomial and rational functions. Coverage of one-to-one and inversefunctions has moved to Chapter 4 on Exponents and Logarithms.Systems and Matrices are now covered in two separate chapters.FEATURES Mid-Chapter Checks: Tests students on the skills they shouldhave learned through the first half of the chapter. Writing, Research, and Decision-Making Problems - Theseprovide students an opportunity for online research, conceptualthinking, and writing. Technology Highlights and Calculator Exploration & Discovery- These are designed to further explore a given topic with the graphingcalculator.CONTENTSChapter R: A Review of Basic Concepts and SkillsR-1 The Language, Notation, and Numbers of MathematicsR-2 Algebraic Expressions and the Properties of Real NumbersR-3 Exponents, Scientific Notation, and a Review of PolynomialsR-4 Factoring PolynomialsR-5 Rational ExpressionsR-6 Radicals and Rational ExponentsChapter 1: Equations and Inequalities1-1 Linear Equations, Formulas, and Problem Solving1-2 Linear Inequalities in One Variable1-3 Absolute Value Equations and Inequalities1-4 Complex Numbers1-5 Solving Quadratic Equations1-6 Solving Other Types of EquationsChapter 2: Relations, Functions and Graphs2-1 Rectangular Coordinates; Graphing Circles and Relations2-2 Graphs of Linear Equations2-3 Linear Equations and Rates of Change2-4 Functions, Notation, and Graphs of Functions2-5 Analyzing the Graph of a Function2-6 Toolbox Functions and Transformations2-7 Piecewise-Defined Functions2-8 The Algebra and Composition of Functions52

PRECALCULUSChapter 3: Polynomial and Rational Functions3-1 Quadratic Functions and Applications3-2 Synthetic Division; The Remainder and Factor Theorems3-3 The Zeroes of Polynomial Functions3-4 Graphing Polynomial Functions3-5 Graphing Rational Functions3-6 Additional Insights into Rational Functions3-7 Polynomial and Rational Inequalities3-8 Variation: Function Models in ActionChapter 4: Exponential and Logarithmic Functions4-1 One-to-One and Inverse Functions4-2 Exponential Functions4-3 Logarithms and Logarithmic Functions4-4 Properties of Logarithms; Solving Exponential and LogarithmicEquations4-5 Applications from Business, Finance, and Science4-6 Business, Finance, and Science ApplicationsChapter 5: Introduction to Trigonometric Functions5-1 Angle Measure, Special Triangles, and Special Angles5-2 The Trigonometry of Right Triangles5-3 Trigonometry and the Coordinate Plane5-4 Unit Circles and the Trigonometric of Real Numbers5-5 Graphs of Sine and Cosine Functions; Cosecant and SecantFunctions5-6 Graphs of Tangent and Cotangent Functions5-7 Transformations and Applications of Trigonometric GraphsChapter 6: Trigonometric Identities, Inverses, and Equations6-1 Fundamental Identities and Families of Identities6-2 Constructing and Verifying Identities6-3 The Sum and Difference Identities6-4 Double Angle, Half Angle & Product-to-Sum Identities6-5 The Inverse Trigonometric Functions and Their Applications6-6 Solving Basic Trigonometric Equations6-7 General Trigonometric Equations and ApplicationsChapter 7: Applications of Trigonometry7-1 Oblique Triangles and the Law of Sines7-2 The Law of Cosines; Area of a Triangle7-3 Vectors and Vector Diagrams7-4 Vector Applications and the Dot Product7-5 Complex Numbers in Trigonometric Form7-6 Demoivre’s Theorem and the Theorem on nth RootsChapter 8: Systems of Equations and Inequalities8-1 Linear Systems in Two Variables with Applications8-2 Linear Systems in Three Variables with Applications8-3 Nonlinear Systems of Equations and Inequalities8-4 Systems of Inequalities and Linear ProgrammingChapter 9: Matrices and Matrix Applications9-1 Solving Systems Using Matrices and Row Operations9-2 The Algebra of Matrices9-3 Solving Linear Systems Using Matrix Equations9-4 Applications of Matrices and Determinants: Cramer’s Rule, PartialFractions, and MoreChapter 10: Analytical Geometry and Conic Sections10-1 Introduction to Analytic Geometry10-2 The Circle and the Ellipse10-3 The Hyperbola10-4 The Analytic Parabola10-5 Polar Coordinates, Equations, and Graphs10-6 More on Conic Sections: Rotation of Axes and Polar Form10-7 Parametric Equations and GraphsChapter 11: Additional Topics in Algebra11-1 Sequences and Series11-2 Arithmetic Sequences11-3 Geometric Sequences11-4 Mathematical Induction11-5 Counting Techniques11-6 Introduction to Probability11-7 The Binomial Theorem Summary and Concept ReviewAPPENDICESA-1 More on Synthetic DivisionA-2 More on MatricesA-3 Deriving the Equation of a ConicA-4 Proof Positive--A Selection of Proofs from Algebra and TrigonometryInternational EditionCOLLEGE ALGEBRA WITH TRIGONOMETRYEighth EditionBy Raymond A Barnett, Merritt College, Michael Ziegler and Karl Byleenof Marquette University2008 (February 2007)ISBN: 978-0-07-331264-4ISBN: 978-0-07-111127-0 [IE]Browse http://www.mhhe.com/barnettThe Barnett, Ziegler, Byleen College Algebra series is designed to beuser friendly and to maximize student comprehension. The goal of thisseries is to emphasize computational skills, ideas, and problem solvingrather than mathematical theory. College Algebra with Trigonometry,7/E, introduces a right angle approach to trigonometry and can beused in one or two semester college algebra with trig or precalculuscourses. The large number of pedagogical devices employed in thistext will guide a student through the course. Integrated throughoutthe text, the students and instructors will fi nd Explore-Discuss boxeswhich encourage students to think critically about mathematical concepts.In each section, the worked examples are followed by matchedproblems that reinforce the concept that is being taught. In addition,the text contains an abundance of exercises and applications thatwill convince students that math is useful. A Smart CD is packagedwith the seventh edition of the book. This CD reinforces importantconcepts, and provides students with extra practice problems.CONTENTSChapter R: Basic Algebraic OperationsR-1 Algebra and Real NumbersR-2 ExponentsR-3 RadicalsR-4 Polynomials: Basic OperationsR-5 Polynomials: FactoringR-6 Rational Expressions: Basic OperationsChapter R ReviewChapter R Group Activity: Rational Number RepresentationsChapter 1: Equations and Inequalities1-1 Linear Equations and Applications1-2 Linear Inequalities1-3 Absolute Value1-4 Complex Numbers1-5 Quadratic Equations and Applications1-6 Equations Involving RadicalsChapter 1 ReviewChapter 1 Group Activity: Solving a Cubic EquationChapter 2: Graphs2-1 Cartesian Coordinate system2-2 Distance in the Plane2-3 Equations of a line2-4 Linear Equations and ModelsChapter 2 ReviewChapter 2 Group Activity: Rates of ChangeChapter 3: Functions3-1 Functions3-2 Graphing Functions3-3 Transformations of Functions3-4 Quadratic Functions3-5 Combining Functions; Composition3-6 Inverse FunctionsChapter 3 ReviewChapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling PlanChapters 1-3 Cumulative Review Exercises53

PRECALCULUSChapter 4: Polynomials and Rational Functions4-1 Polynomial Functions and Models4-2 Real Zeros and Polynomial Inequalities4-3 Complex Zeros and Rational Zeros of Polynomials4-4 Rational Functions and Inequalities4-5 Variation and ModelingChapter 4 ReviewChapter 4 Group Activity: Interpolating PolynomialsChapter 5: Exponential and Logarithmic Functions5-1 Exponential Functions5-2 Exponential Models5-3 Logarithmic Functions5-4 Logarithmic Models5-5 Exponential and Logarithmic EquationsChapter 5 ReviewChapter 5 Group Activity: Growth of Increasing FunctionsChapters 4-5 Cumulative Review ExercisesChapter 6: Trigonometric Functions6-1 Angles and Their Measure6-2 Right-Triangle Trigonometry6-3 Trigonometric Functions: A Unit Circle Approach6-4 Trigonometric Functions: Properties and Graphs6-5 More General Trigonometric Functions6-6 Inverse Trigonometric FunctionsChapter 6 ReviewChapter 6 Group Activity: A Predator-Prey Analysis Involving MountainLions and DeerChapter 7: Trigonometric Identities and Conditional Equations7-1 Basic Identities and Their Use7-2 Sum, Difference, and Cofunction Identities7-3 Double-Angle and Half-Angle Identities7-4 Product-Sum and Sum-Product Identities7-5 Trigonometric EquationsChapter 7 ReviewChapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C):A Harmonic Analysis ToolChapter 8: Additional Topics in Trigonometry8-1 Law of Sines8-2 Law of Cosines8-3 Vectors in the Plane8-4 Polar Coordinates and Graphs8-5 Complex Numbers and De Moivre’s TheoremChapter 8 ReviewChapter 8 Group Activity: Conic Sections and Planetary OrbitsChapters 6-8 Cumulative Review ExercisesChapter 9: Additional Topics in Analytic Geometry9-1 Conic Sections; Parabolas9-2 Ellipses9-3 Hyperbolas9-4 Rotation of AxesChapter 9 ReviewChapter 9 Group Activity: Focal ChordsChapter 10: Systems of Equations and Inequalities; Matrices10-1 Systems of Linear Equations: Graphing and Substitution10-2 Systems of Linear Equations: Elimination10-3 Systems of Linear Equations: Gauss-Jordan Elimination10-4 Matrices: Basic Operations10-5 Systems of Linear Equations: Matrix Inverse Methods10-6 Systems of Nonlinear Equations10-7 Systems of Linear Inequalities in Two Variables10-8 Linear ProgrammingChapter 10 ReviewChapter 10 Group Activity: Modeling With Systems of Linear EquationsChapter 11: Sequences and Series11-1 Sequences and Series11-2 Mathematical Induction11-3 Arithmetic and Geometric Sequences11-4 Counting Techniques: Multiplication Principle, Permutations,and Combinations11-5 Sample Spaces and Probability11-6 Binomial FormulaChapter 11 ReviewChapter 11 Group Activity: Sequences Specified by Recursion FormulasChapters 9-11 Cumulative Review ExercisesAppendix A: Special TopicsA-1 Scientific NotationAnd Significant DigitsA-2 Partial FractionsA-3 Parametric EquationsAppendix B: Geometric FormulasNewPrecalculusInternational EditionPRECALCULUSSecond EditionBy John W. Coburn, Saint Louis Community College--FlorissantValley2010 (February 2009)ISBN: 978-0-07-727650-8ISBN: 978-0-07-017298-2 [IE]www.mhhe.com/coburnThree components contribute to a theme sustained throughoutthe Coburn Series: that of laying a fi rm foundation, building a solidframework, and providing strong connections. Not only does Coburnpresent a sound problem-solving process to teach students to recognizea problem, organize a procedure, and formulate a solution,the text encourages students to see beyond procedures in an effortto gain a greater understanding of the big ideas behind mathematicalconcepts. Written in a readable, yet mathematically mature mannerappropriate for college algebra level students, Coburn’s Precalculususes narrative, extensive examples, and a range of exercises toconnect seemingly disparate mathematical topics into a cohesivewhole. Coburn’s hallmark applications are born out of the author’sextensive experiences in and outside the classroom, and appeal tothe vast diversity of students and teaching methods in this coursearea. Benefi ting from the feedback of hundreds of instructors andstudents across the country, Precalculus second edition, continuesto emphasize connections in order to improve the level of studentengagement in mathematics and increase their chances of successin college algebra.NEW TO THIS EDITION Interior Design - The trim size of the book has been increasedto provide more white space on the page, improve readability, anddecrease the length of the book. The font size has been increasedthroughout. The size of graphs and diagrams has been increasedwhere necessary. Updated Examples - Titles have been added to Examples andthe Examples have been scrutinized for clarity, length, and relevanceto current topics. “Overlapping” Examples have been removed.54

PRECALCULUS Learning Objectives - These are clearly tied to sub-sections in thetext. Margin “checkpoints” throughout each section let students knowwhen a specific learning objective has been covered and reinforcesthe use of correct mathematical terms. Suggested Homework - A list of suggested homework assignmentshas been added to each exercise section in the AnnotatedInstructor’s Edition to provide instructors with guidelines for developingcore, standard, extended, and in-depth assignments. Organizational Changes - Coverage of absolute value equationsand inequalities has been added to Chapter 1. Chapters 2, 3, and4 have been significantly reorganized based on reviewer feedback.Coverage of circles is now introduced in Chapter 2 with coverage ofthe mid-point and distance formulas. Variation is now covered afterpolynomial and rational functions. Coverage of one-to-one and inversefunctions has moved to Chapter 4 on Exponents and Logarithms.Systems and Matrices are now covered in two separate chapters.FEATURES Mid-Chapter Checks - Tests students on the skills they shouldhave learned through the first half of the chapter. Writing, Research, and Decision-Making Problems - Theseprovide students an opportunity for online research, conceptualthinking, and writing. Technology Highlights and Calculator Exploration & Discovery- These are designed to further explore a given topic with the graphingcalculator.CONTENTSChapter 1: Equations and Inequalities1-1 Linear Equations, Formulas, and Problem Solving1-2 Linear Inequalities in One Variable1-3 Absolute Value Equations and Inequalities1-4 Complex Numbers1-5 Solving Quadratic Equations1-6 Solving Other Types of EquationsChapter 2: Relations, Functions and Graphs2-1 Rectangular Coordinates; Graphing Circles and Relations2-2 Graphs of Linear Equations2-3 Linear Equations and Rates of Change2-4 Functions, Notation, and Graphs of Functions2-5 Analyzing the Graph of a Function2-6 Toolbox Functions and Transformations2-7 Piecewise-Defined Functions2-8 The Algebra and Composition of FunctionsChapter 3: Polynomial and Rational Functions3-1 Quadratic Functions and Applications3-2 Synthetic Division; The Remainder and Factor Theorems3-3 The Zeroes of Polynomial Functions3-4 Graphing Polynomial Functions3-5 Graphing Rational Functions3-6 Additional Insights into Rational Functions3-7 Polynomial and Rational Inequalities3-8 Variation: Function Models in ActionChapter 4: Exponential and Logarithmic Functions4-1 One-to-One and Inverse Functions4-2 Exponential Functions4-3 Logarithms and Logarithmic Functions4-4 Properties of Logarithms; Solving Exponential and LogarithmicEquations4-5 Applications from Business, Finance, and Science4-6 Business, Finance, and Science ApplicationsChapter 5: Introduction to Trigonometric Functions5-1 Angle Measure, Special Triangles, and Special Angles5-2 Unit Circles and the Trigonometry of Real Numbers5-3 Graphs of Sine and Cosine Functions; Cosecant and SecantFunctions5-4 Graphs of Tangent and Cotangent Functions5-5 Transformations and Applications of Trigonometric Graphs5-6 The Trigonometry of Right Triangles5-7 Trigonometry and the Coordinate PlaneChapter 6: Trigonometric Identities, Inverses, and Equations6-1 Fundamental Identities and Families of Identities6-2 Constructing and Verifying Identities6-3 The Sum and Difference Identities6-4 Double Angle, Half Angle & Product-to-Sum Identities6-5 The Inverse Trigonometric Functions and Their Applications6-6 Solving Basic Trigonometric Equations6-7 General Trigonometric Equations and ApplicationsChapter 7: Applications of Trigonometry7-1 Oblique Triangles and the Law of Sines7-2 The Law of Cosines; Area of a Triangle7-3 Vectors and Vector Diagrams7-4 Vector Applications and the Dot Product7-5 Complex Numbers in Trigonometric Form7-6 Demoivre’s Theorem and the Theorem on nth RootsChapter 8: Systems of Equations and Inequalities8-1 Linear Systems in Two Variables with Applications8-2 Linear Systems in Three Variables with Applications8-3 Partial Fraction Decomposition8-4 Systems of Inequalities and Linear Programming8-5 Solving Systems Using Matrices and Row Operations8-6 The Algebra of Matrices8-7 Solving Linear Systems Using Matrix Equations8-8 Applications of Matrices and Determinants: Cramer’s Rule, Geometry,and MoreChapter 9: Analytical Geometry9-1 Introduction to Analytic Geometry9-2 The Circle and the Ellipse9-3 The Hyperbola9-4 The Analytic Parabola9-5 Nonlinear Systems of Equations and Inequalities9-6 Polar Coordinates, Equations, and Graphs9-7 More on Conic Sections: Rotation of Axes and Polar Form9-8 Parametric Equations and GraphsChapter 10: Additional Topics in Algebra10-1 Sequences and Series10-2 Arithmetic Sequences10-3 Geometric Sequences10-4 Mathematical Induction10-5 Counting Techniques10-6 Introduction to Probability10-7 The Binomial TheoremChapter 11: Bridges to Calculus--An Introduction to Limits11-1 Finding Limits Numerically and Graphically11-2 Algebraic Methods for Finding Limits; One-Sided Limits andContinuity11-3 Infinite Limits and Limits at Infinity11-4 Applications of Limits: Instantaneous Rates of Change and theArea Under a CurveAPPENDICESA-1 A Review of Basic Concepts and SkillsA-2 US Standard Units and the Metric SystemA-3 Rational Expressions and the Least Common DenominatorA-4 Deriving the Equation of a ConicA-5 More on MatricesA-6 Deriving the Equation of a Conic55

PRECALCULUSNewPRECALCULUS: GRAPHS ANDMODELSThird EditionBy Raymond A Barnett, Merritt College, Michael RZiegler and Karl E Byleen of Marquette University,David Sobecki, Miami University-Hamilton2009 (February 2008)ISBN: 978-0-07-722129-4http://www.mhhe.com/barnettThe Barnett Graphs & Models series in college algebra and precalculusmaximizes student comprehension by emphasizing computationalskills, real-world data analysis and modeling, and problem solvingrather than mathematical theory. Many examples feature side-by-sidealgebraic and graphical solutions, and each is followed by a matchedproblem for the student to work. This active involvement in the learningprocess helps students develop a more thorough understanding ofconcepts and processes. A hallmark of the Barnett series, the functionconcept serves as a unifying theme. A major objective of this book isto develop a library of elementary functions, including their importantproperties and uses. Employing this library as a basic working tool,students will be able to proceed through this course with greaterconfidence and understanding as they first learn to recognize thegraph of a function and then learn to analyze the graph and use it tosolve the problem. Applications included throughout the text give thestudent substantial experience in solving and modeling real worldproblems in an effort to convince even the most skeptical studentthat mathematics is really useful.NEW TO THIS EDITION The narrative has been extensively reworked in order to makethe language less formal and more engaging for students. A new interior design offers a cleaner presentation of conceptsand pedagogy. More examples featuring side-by-side algebraic and graphicalsolutions have been added to better integrate solution methods. Annotated steps, in small colored type, are used more frequentlyto walk students through each critical step in the problem-solvingprocess. Expanded exercise sets provide additional practice, especiallyat the easy to moderate levels. An Annotated Instructor’s Edition is now available for instructorsand provides answers to each problem in the exercise set on the samepage as the problem appears. MATHZONE <strong>McGraw</strong>-<strong>Hill</strong>’s MathZone is a complete, onlinetutorial and course management system for mathematics andstatistics, designed for greater ease of use than any other systemavailable. Instructors can create and share courses and assignmentswith colleagues and adjuncts in a matter of a few clicks ofa mouse. All instructor teaching resources are accessed online,as well as student assignments, questions, e-Professors, onlinetutoring and video lectures which are directly tied to text specificmaterial. MathZone courses are customized to your textbook, butyou can edit questions and algorithms, import your own content,create announcements and due dates for assignments. MathZonehas automatic grading and reporting of easy-to-assign algorithmicallygenerated homework, quizzing and testing. Student activity withinMathZone is automatically recorded and available to you througha fully integrated grade book than can be downloaded to Excel.Go to www.mathzone.com to learn more.CONTENTSCHAPTER 1 FUNCTIONS, GRAPHS, AND MODELS1-1 Using Graphing Utilities1-2 Functions1-3 Functions: Graphs and Properties1-4 Functions: Graphs and Transformations1-5 Operations on Functions; Composition1-6 Inverse FunctionsChapter 1 ReviewChapter 1 Group Activity: Mathematical Modeling–Choosing a LongDistance Calling PlanCHAPTER 2 MODELING WITH LINEAR AND QUADRATIC FUNC-TIONS2-1 Linear Functions2-2 Linear Equations and Models2-3 Quadratic Functions2-4 Complex Numbers2-5 Quadratic Equations and Models2-6 Additional Equation Solving Techniques2-7 Solving InequalitiesChapter 2 ReviewChapter 2 Group Activity: Mathematical Modeling in PopulationStudiesCumulative Review Exercise for Chapters 1 and 2CHAPTER 3 POLYNOMIAL AND RATIONAL FUNCTIONS3-1 Polynomial Functions And Models3-2 Polynomial Division3-3 Real Zeros and Polynomial Inequalities3-4 Complex Zeros and Rational Zeros of Polynomials3-5 Rational Functions and Inequalities3-6 Variation and ModelingChapter 3 ReviewChapter 3 Group Activity: Interpolating PolynomialsCHAPTER 4 MODELING WITH EXPONENTIAL AND LOGARITHMICFUNCTIONS4-1 Exponential Functions4-2 Exponential Models4-3 Logarithmic Functions4-4 Logarithmic Models4-5 Exponential and Logarithmic EquationsChapter 4 ReviewCumulative Review Chapters 3 and 4Chapter 4 Group Activity: Comparing Regression ModelsCumulative Review Exercise for Chapters 3 and 4CHAPTER 5 TRIGONOMETRIC FUNCTIONS5-1 Angles and Their Measure5-2 Trigonometric Functions: A Unit Circle Approach5-3 Solving Right Triangles5-4 Properties of Trigonometric Functions5-5 More General Trigonometric Functions and and Models5-6 Inverse Trigonometric FunctionsChapter 5 ReviewChapter 5 Group Activity: A Predator-Prey Analysis Involving MountainLions and DeerCHAPTER 6 TRIGONOMETRIC IDENTITIES AND CONDITIONALEQUATIONS6-1 Basic Identities and Their Use6-2 Sum, Difference, and Cofunction Identities6-3 Double-Angle and Half-Angle Identities6-4 Product-Sum and Sum-Product Identities6-5 Trigonometric EquationsChapter 6 ReviewChapter 6 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C)--A Harmonic Analysis ToolCHAPTER 7 ADDITIONAL TOPICS IN TRIGONOMETRY7-1 Law of Sines7-2 Law of Cosines7-3 Vectors in the Plane7-4 Polar Coordinates and Graphs7-5 Complex Numbers and De Moivre’s TheoremChapter 7 Review56

PRECALCULUSChapter 7 Group Activity: Conic Sections and Planetary OrbitsCumulative Review Exercise for Chapters 5, 6, and 7CHAPTER 8 MODELING WITH SYSTEMS OF EQUATIONS ANDINEQUALITIES8-1 Systems of Linear Equations in Two Variables8-2 Systems of Linear Equations in Three Variables8-3 Systems of Linear Inequalities8-4 Linear ProgrammingChapter 8 ReviewChapter 8 Group Activity: Modeling with Systems of EquationsCHAPTER 9 MATRICES AND DETERMINANTS9-1 Matrix Solutions to Linear Systems9-2 Matrix Operations9-3 Inverse of a Square Matrix9-4 Matrix Equations and Systems of Linear Equations9-5 Determinants9-6 Properties of Determinants9-7 Determinants and Cramer’s RuleChapter 9 ReviewChapter 9 Group Activity: Using Matrices to Find Cost, Revenue,and ProfitCumulative Review Exercise for Chapters 8 and 9CHAPTER 10 SEQUENCES, INDUCTION, PROBABILITY10-1 Sequences and Series10-2 Mathematical Induction10-3 Arithmetic and Geometric Sequences10-4 Multiplication Principle, Permutations, and Combinations10-5 Sample Spaces and Probability10-6 Binomial FormulaChapter 10 ReviewChapter 10 Group Activity: Sequences Specified by RecursionFormulasCHAPTER 11 ADDITIONAL TOPICS IN ANALYTIC GEOMETRY11-1 Conic Sections; Parabola11-2 Ellipse11-3 Hyperbola11-4 Systems of Nonlinear Equations11-5 Rotation of AxesChapter 11 ReviewChapter 11 Group Activity: Focal ChordsCumulative Review Exercise for Chapters 10 and 11Appendix A BASIC ALGEBRA REVIEWA-1 Algebra and Real NumbersA-2 ExponentsA-3 RadicalsA-4 Polynomials: Basic OperationsA-5 Polynomials: FactoringA-6 Rational Expressions: Basic OperationsA-7 Linear Equations and InequalitiesA-8 Cartesian Coordinate SystemA-9 Basic Formulas in Analytic GeometryAppendix A ReviewAppendix A Group Activity: Rational Number RepresentationsAppendix B Special TopicsB-1 Significant DigitsB-2 Partial FractionsB-3 Parametric EquationsAppendix C Geometric FormulasPRECALCULUS WITH LIMITSSixth EditionBy Raymond A Barnett, Merritt College, Michael R Ziegler and Karl EByleen of Marquette University2008 (March 2007)ISBN: 978-0-07-336580-0www.mhhe.com/barnettThe Barnett, Ziegler, Byleen College Algebra series is designed to beuser friendly and to maximize student comprehension, emphasizingcomputational skills, ideas, and problem solving as opposed to mathematicaltheory. Suitable for a one or two semester college algebrawith trigonometry or precalculus course, Precalculus with Limits introducesa unit circle approach to trigonometry and includes a chapter onlimits to provide students with a solid foundation for calculus concepts.The large number of pedagogical devices employed in this text willguide a student through the course. Integrated throughout the text,students and instructors will find Explore-Discuss boxes which encouragestudents to think critically about mathematical concepts. In eachsection, the worked examples are followed by matched problems thatreinforce the concept being taught. In addition, the text contains anabundance of exercises and applications that will convince studentsthat math is useful. A MathZone site featuring algorithmic exercises,videos, and other resources accompanies the text.CONTENTSChapter R: Basic Algebraic OperationsR-1 Algebra and Real NumbersR-2 ExponentsR-3 RadicalsR-4 Polynomials: Basic OperationsR-5 Polynomials: FactoringR-6 Rational Expressions: Basic OperationsChapter R ReviewChapter R Review ExercisesChapter R Group Activity: Rational and Irrational NumbersChapter 1: Equations and Inequalities1-1 Linear Equations and Applications1-2 Linear Inequalities1-3 Absolute Value in Equations and Inequalities1-4 Complex Numbers1-5 Quadratic Equations and Applications1-6 Additional Equation-Solving TechniquesChapter 1 ReviewChapter 1 Review ExercisesChapter 1 Group Activity: Solving a Cubic EquationChapter 2: Graphs2-1 Cartesian Coordinate System2-2 Distance in the Plane2-3 Equations of a Line2-4 Linear Equations and ModelsChapter 2 ReviewChapter 2 Review ExercisesChapter 2 Group Activity: Rates of ChangeChapter 3: Functions3-1 Functions3-2 Graphing Functions3-3 Transformations of Functions3-4 Quadratic Functions3-5 Operations on Functions; Composition3-6 Inverse FunctionsChapter 3 ReviewChapter 3 Review ExercisesChapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling PlanCumulative Review Exercises Chapters 1-3Chapter 4: Polynomials and Rational Functions4-1 Polynomial Functions and Models4-2 Real Zeros and Polynomial Inequalities4-3 Complex Zeros and Rational Zeros of Polynomials4-4 Rational Functions and Inequalities4-5 Variation and Modeling57

PRECALCULUSChapter 4 ReviewChapter 4 Review ExercisesChapter 4 Group Activity: Interpolating PolynomialsChapter 5: Exponential and Logarithmic Functions5-1 Exponential Functions5-2 Exponential Models5-3 Logarithmic Functions5-4 Logarithmic Models5-5 Exponential and Logarithmic EquationsChapter 5 ReviewChapter 5 Review ExercisesChapter 5 Group Activity: Comparing Regression ModelsCumulative Review Exercises Chapters 4-5Chapter 6: Trigonometric Functions6-1 Angles and Their Measure6-2 Trigonometric Functions: A Unit Circle Approach6-3 Solving Right Triangles6-4 Properties of Trigonometric Functions6-5 More General Trigonometric Functions and Models6-6 Inverse Trigonometric FunctionsChapter 6 ReviewChapter 6 Review ExercisesChapter 6 Group Activity: A Predator-Prey Analysis Involving MountainLions and DeerChapter 7: Trigonometric Identities and Conditional Equations7-1 Basic Identities and Their Use7-2 Sum, Difference, and Cofunction Identities7-3 Double-Angle and Half-Angle Identities7-4 Product-Sum and Sum-Product Identities7-5 Trigonometric EquationsChapter 7 ReviewChapter 7 Review ExercisesChapter 7 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C):A Harmonic Analysis ToolChapter 8: Additional Topics in Trigonometry8-1 Law of Sines8-2 Law of Cosines8-3 Vectors in the Plane8-4 Polar Coordinates and Graphs8-5 Complex Numbers and De Moivre’s TheoremChapter 8 ReviewChapter 8 Review ExercisesChapter 8 Group Activity: Conic Sections and Planetary OrbitsCumulative Review Exercises Chapters 6-8Chapter 9: Additional Topics in Analytic Geometry9-1 Conic Sections; Parabolas9-2 Ellipse9-3 Hyperbola9-4 Translation and Rotation of AxesChapter 9 ReviewChapter 9 Review ExercisesChapter 9 Group Activity: Focal ChordsChapter 10: Systems of Equations and Inequalities; Matrices10-1 Systems of Linear Equations in Two Variables10-2 Systems of Linear Equations in Three Variables10-3 Systems of Linear Equations: Gauss-Jordan Elimination10-4 Matrix Operations10-5 Systems of Linear Equations: Matrix Inverse Methods10-6 Systems of Nonlinear Equations10-7 Systems of Linear Inequalities in Two Variables10-8 Linear ProgrammingChapter 10 ReviewChapter 10 Review ExercisesChapter 10 Group Activity: Modeling With Systems of Linear EquationsChapter 11: Sequences, Induction, and Probability11-1 Sequences and Series11-2 Mathematical Induction11-3 Arithmetic and Geometric Sequences11-4 Multiplication Principle, Permutations, and Combinations11-5 Sample Spaces and Probability11-6 Binomial FormulaChapter 11 ReviewChapter 11 Review ExercisesChapter 11 Group Activity: Sequences Specified by Recursion FormulasCumulative Review Exercises Chapters 9-11Chapter 12 Limits: An Introduction to Calculus12-1 Introduction to Limits12-2 Computing Limits Algebraically12-3 Limits at Infinity12-4 The Derivative12-5 Area and CalculusChapter 12 ReviewChapter 12 Review ExercisesChapter 12 Group Activity: Derivatives of Exponential and Log FunctionsAppendix A: Special Topics A-1 Scientific Notation and SignificantDigits A-2 Partial Fractions A-3 Parametric Equations Appendix B:Geometric Formulas Student Answers Subject IndexInternational EditionPRECALCULUS WITH MATHZONESixth EditionBy Raymond Barnett, Merritt College, Michael Ziegler and Karl Byleen ofMarquette University2008 (February 2007)ISBN: 978-0-07-331263-7ISBN: 978-0-07-111319-9 [IE]www.mhhe.com/barnettThe Barnett, Ziegler, Byleen College Algebra series is designed to beuser friendly and to maximize student comprehension. The goal ofthis series is to emphasize computational skills, ideas, and problemsolving rather than mathematical theory. Precalculus introduces aunit circle approach to trigonometry and can be used in one or twosemester college algebra with trig or precalculus courses. The largenumber of pedagogical devices employed in this text will guide a studentthrough the course. Integrated throughout the text, students andinstructors will find Explore-Discuss boxes which encourage studentsto think critically about mathematical concepts. In each section, theworked examples are followed by matched problems that reinforcethe concept being taught. In addition, the text contains an abundanceof exercises and applications that will convince students that math isuseful. A Smart CD is packaged with the seventh edition of the book.This CD reinforces important concepts, and provides students withextra practice problems.CONTENTSChapter R: Basic Algebraic OperationsR-1 Algebra and Real NumbersR-2 ExponentsR-3 RadicalsR-4 Polynomials: Basic OperationsR-5 Polynomials: FactoringR-6 Rational Expressions: Basic OperationsChapter R ReviewChapter R Group Activity: Rational Number RepresentationsChapter 1: Equations and Inequalities1-1 Linear Equations and Applications1-2 Linear Inequalities1-3 Absolute Value1-4 Complex Numbers1-5 Quadratic Equations and Applications1-6 Equations Involving RadicalsChapter 1 ReviewChapter 1 Group Activity: Solving a Cubic EquationChapter 2: Graphs2-1 Cartesian Coordinate system58

PRECALCULUS2-2 Distance in the Plane2-3 Equations of a line2-4 Linear Equations and ModelsChapter 2 ReviewChapter 2 Group Activity: Rates of ChangeChapter 3: Functions3-1 Functions3-2 Graphing Functions3-3 Transformations of Functions3-4 Quadratic Functions3-5 Combining Functions; Composition3-6 Inverse FunctionsChapter 3 ReviewChapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling PlanChapters 1-3 Cumulative Review ExercisesChapter 4: Polynomials and Rational Functions4-1 Polynomial Functions and Models4-2 Real Zeros and Polynomial Inequalities4-3 Complex Zeros and Rational Zeros of Polynomials4-4 Rational Functions and Inequalities4-5 Variation and ModelingChapter 4 ReviewChapter 4 Group Activity: Interpolating PolynomialsChapter 5: Exponential and Logarithmic Functions5-1 Exponential Functions5-2 Exponential Models5-3 Logarithmic Functions5-4 Logarithmic Models5-5 Exponential and Logarithmic EquationsChapter 5 ReviewChapter 5 Group Activity: Growth of Increasing FunctionsChapters 4-5 Cumulative Review ExercisesChapter 6: Trigonometric Functions6-1 Angles and Their Measure6-2 Trigonometric Functions: A Unit Circle Approach6-3 Solving Right Triangles6-4 Trigonometric Functions: Properties and Graphs6-5 More General Trigonometric Functions6-6 Inverse Trigonometric FunctionsChapter 6 ReviewChapter 6 Group Activity: A Predator-Prey Analysis Involving MountainLions and DeerChapter 7: Trigonometric Identities and Conditional Equations7-1 Basic Identities and Their Use7-2 Sum, Difference, and Cofunction Identities7-3 Double-Angle and Half-Angle Identities7-4 Product-Sum and Sum-Product Identities7-5 Trigonometric EquationsChapter 7 ReviewChapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C):A Harmonic Analysis ToolChapter 8: Additional Topics in Trigonometry8-1 Law of Sines8-2 Law of Cosines8-3 Vectors in the Plane8-4 Polar Coordinates and Graphs8-5 Complex Numbers and De Moivre’s TheoremChapter 8 ReviewChapter 8 Group Activity: Conic Sections and Planetary OrbitsChapters 6-8 Cumulative Review ExercisesChapter 9: Additional Topics in Analytic Geometry9-1 Conic Sections; Parabolas9-2 Ellipses9-3 Hyperbolas9-4 Rotation of AxesChapter 9 ReviewChapter 9 Group Activity: Focal ChordsChapter 10: Systems of Equations and Inequalities; Matrices10-1 Systems of Linear Equations: Graphing and Substitution10-2 Systems of Linear Equations: Elimination10-3 Systems of Linear Equations: Gauss-Jordan Elimination10-4 Matrices: Basic Operations10-5 Systems of Linear Equations: Matrix Inverse Methods10-6 Systems of Nonlinear Equations10-7 Systems of Linear Inequalities in Two Variables10-8 Linear ProgrammingChapter 10 ReviewChapter 10 Group Activity: Modeling With Systems of Linear EquationsChapter 11: Sequences and Series11-1 Sequences and Series11-2 Mathematical Induction11-3 Arithmetic and Geometric Sequences11-4 Counting Techniques: Multiplication Principle, Permutations,and Combinations11-5 Sample Spaces and Probability11-6 Binomial FormulaChapter 11 ReviewChapter 11 Group Activity: Sequences Specified by RecursionFormulasChapters 9-11 Cumulative Review ExercisesAppendix A: Special TopicsA-1 Scientific Notation and Significant DigitsA-2 Partial FractionsA-3 Parametric EquationsAppendix B: Geometric FormulasSCHAUM’S OUTLINE OF PRECALCULUSSecond EditionBy Fred Safier, City College of San Francisco2009 (July 2008) / 426 pagesISBN: 978-0-07-150864-3A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latestcourse scope and sequence. The ideal review for the hundreds ofthousands of college and high school students who enroll in precalculuscourses.CONTENTS1. Polynomials2. Exponents3. Rational and Radical Expressions4. Linear and Non-Linear Equations5. Linear and Non-Linear Inequalities6. Absolute Value in Equations and Inequalities7. Analytic Geometry8. Functions9. Linear Functions10. Transformations and Graphs11. Quadratic Functions12. Algebra of Functions13. Polynomial Functions14. Rational Functions15. Algebraic Functions; Variations16. Exponential Functions17. Logarithmic Functions18. Exponential and Logarithmic Equations19. Trigonometric Functions20. Graphs of Trignometric Functions21. Angles22. Trigonometric Identities and Equations23. Sum, Difference, Multiple, and Half-Angle Formulas24. Inverse Trigonometric Functions25. Triangles26. Vectors27. Polar Coordinates; Parametric Equations28. Trigonometric Form of Complex Numbers59

PRECALCULUS29. Systems of Linear Equations30. Gaussian and Gauss-Jordan Elimination31. Partial Fraction32. Decomposition33. Non-Linear Systems of Equations34. Introduction to Matrix Algebra35. Matrix Multiplication and Inverses36. Determinants and Cramer’s Rule37. Loci; Parabolas38. Ellipses and Hyperbolas39. Rotation of Axes40. Conic Sections41. Sequences and Series42. The Principle of Mathematical Induction43. Special Sequences and Series44. The Binomial TheoremCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia60

CALCULUSApplied/Business Calculus .................................................................................63Calculus and Analytic Geometry.........................................................................65Multi-Variable Calculus .......................................................................................74Single Variable Calculus .....................................................................................6961

NEW TITLESCALCULUS2010 Author ISBN-13 PageApplied Calculus for Business, Economics, and the Social and Life Sciences, Hoffmann 9780077297886 63Expanded EditionCalculus for Business, Economics, and the Social and Life Sciences, 10e Hoffmann 9780077292737 6462

CALCULUSNewApplied /Business CalculusInternational EditionAPPLIED CALCULUS FORBUSINESS, ECONOMICS,AND THE SOCIAL AND LIFESCIENCESExpanded EditionLaurence D. Hoffmann, Salomon Smith Barney,Gerald L. Bradley of Claremont McKenna College2010 (January 2009)ISBN: 978-0-07-729788-6ISBN: 978-0-07-018282-0 [IE]www.mhhe.com/hoffmanApplied Calculus for Business, Economics, and the Social and LifeSciences, Expanded Edition provides a sound, intuitive understandingof the basic concepts students need as they pursue careers inbusiness, economics, and the life and social sciences. Studentsachieve success using this text as a result of the author’s applied andreal-world orientation to concepts, problem-solving approach, straightforward and concise writing style, and comprehensive exercise sets.More than 100,000 students worldwide have studied from this text!NEW TO THIS EDITION Improved Exercise Sets! - Almost 300 new routine and applicationexercises have been added to the already extensive problemsets. A wealth of new applied problems have been added to helpdemonstrate the practicality of the material. These new problemscome from many fields, but in particular more applications focusedon economics have been added. Enhanced Topic Coverage - Every section in the text underwentcareful analysis and extensive review to ensure the most beneficialand clear presentation. Additional steps and definition boxes wereadded when necessary for greater clarity and precision, and discussionsand introductions were added or rewritten as needed to improvepresentation. New Contemporary Design - The Tenth Edition design has beenimproved with a rich, new color palette; updated writing and calculatorexercises; and Explore! boxes icons, and all figures have been revisedfor a more contemporary and visual aesthetic. The goal of this newdesign is to provide a more approachable and student-friendly text.FEATURES Additional Just-in-Time Reviews – This Hallmark feature servesas a handy reference that quickly reminds students of importantconcepts from college algebra or precalculus as they are being usedin examples and discussions. Each review is placed in the marginadjacent to the location where the reviewed topic material is used.This allows for immediate reinforcement, without distracting from thematerial under discussion. A Vast Assortment of Applications - Hoffmann/Bradley containsover 400 different applications of problems in business, economics,finance & investment, the life & environmental sciences, the physicalsciences, and the social sciences. Great effort is made to ensure thattopics are applied to these practical problems soon after their intro-duction. Many new problems have been added, as well as obsoleteor outdated data has been removed. Procedural Examples & Boxes - Each new topic is approachedwith careful clarity by providing step-by-step problem-solving techniques.These techniques are demonstrated in the numerous proceduralexamples and in the frequent procedural summary boxeshighlighting the techniques demonstrated. Explore! Technology - For those choosing to include a graphingfocus in their course, the Explore! boxes guide students in the use ofgraphing calculators and challenge their understanding of the topicspresented through explorations tied to specific examples. Each chapterconcludes with an Explore! Update section that provides solutionsand hints to selected boxes throughout the chapter.CONTENTSChapter 1: Functions, Graphs, and Limits1.1 Functions1.2 The Graph of a Function1.3 Linear Functions1.4 Functional Models1.5 Limits1.6 One-Sided Limits and ContinuityChapter 2: Differentiation: Basic Concepts1.1 The Derivative1.2 Techniques of Differentiation1.3 Product and Quotient Rules; Higher-Order Derivatives1.4 The Chain Rule1.5 Marginal Analysis and Approximations Using Increments1.6 Implicit Differentiation and Related RatesChapter 3: Additional Applications of the Derivative3.1 Increasing and Decreasing Functions; Relative Extrema3.2 Concavity and Points of Inflection3.3 Curve Sketching3.4 Optimization; Elasticity of Demand3.5 Additional Applied OptimizationChapter 4: Exponential and Logarithmic Functions4.1 Exponential Functions: Continuous Compounding4.2 Logarithmic Functions4.3 Applications; Exponential ModelsChapter 5: Integration5.1 Antidifferentiation: The Indefinite Integral5.2 Integration by Substitution5.3 The Definite Integral and the Fundamental Theorem of Calculus5.4 Applying Definite Integration: Area Between Curves and AverageValue5.5 Additional Applications to Business and Economics5.6 Additional Applications to the Life and Social SciencesChapter 6: Additional Topics in Integration6.1 Integration by Parts; Integral Tables6.2 Improper Integrals6.3 Numerical IntegrationChapter 7: Calculus of Several Variables7.1 Functions of Several Variables7.2 Partial Derivatives7.3 Optimizing Functions of Two Variables7.4 The Method of Least-Squares7.5 Constrained Optimization: The Method of Lagrange Multipliers7.6 Double IntegralsChapter 8: Differential Equations8.1 Introduction to Differential Equations8.2 First-Order Linear Differential Equations8.3 Additional Applications of Differential Equations8.4 Approximate Solutions of Differential Equations8.5 Difference Equations; The Cobweb ModelChapter 9: Infinite Series and Taylor Series Approximations9.1 Infinite Series; Geometric Series9.2 Tests for Convergence9.3 Functions as Power Series; Taylor SeriesChapter 10: Probability and Calculus10.1 Introduction to Probability; Discrete Random Variables63

CALCULUS10.2 Continuous Random Variables10.3 Expected Value and Variance of Continuous Random Variables10.4 Normal and Poisson Probability DistributionsChapter 11: Trigonometric Functions11.1 The Trigonometric Functions11.2 Differentiation and Integration of Trigonometric Functions11.3 Additional Applications Involving Trigonometric FunctionAppendix A: Algebra ReviewA.1 A Brief Review of AlgebraA.2 Factoring Polynomials and Solving Systems of EquationsA.3 Evaluating Limits with L’Hopital’s RuleA.4 The Summation NotationNewInternational EditionCALCULUS FOR BUSINESS,ECONOMICS, AND THESOCIAL AND LIFE SCIENCESTenth EditionLaurence D. Hoffmann, Salomon Smith Barney,Gerald L. Bradley of Claremont McKenna College2010 (December 2008)ISBN: 978-0-07-729273-7ISBN: 978-0-07-122024-8 [IE]www.mhhe.com/hoffmanCalculus for Business, Economics, and the Social and Life Sciences,Brief Edition introduces calculus in real-world contexts and providesa sound, intuitive understanding of the basic concepts students needas they pursue careers in business, the life sciences, and the socialsciences. Students achieve success using this text as a result of theauthors’ applied and real-world orientation to concepts, problemsolvingapproach, straightforward and concise writing style, andcomprehensive exercise sets. More than 100,000 students worldwidehave studied from this text!NEW TO THIS EDITION Improved Exercise Sets! - Almost 300 new routine and applicationexercises have been added to the already extensive problemsets. A wealth of new applied problems have been added to helpdemonstrate the practicality of the material. These new problemscome from many fields, but in particular more applications focusedon economics have been added. Enhanced Topic Coverage - Every section in the text underwentcareful analysis and extensive review to ensure the most beneficialand clear presentation. Additional steps and definition boxes wereadded when necessary for greater clarity and precision, and discussionsand introductions were added or rewritten as needed to improvepresentation. New Contemporary Design - The Tenth Edition design has beenimproved with a rich, new color palette; updated writing and calculatorexercises; and Explore! boxes icons, and all figures have been revisedfor a more contemporary and visual aesthetic. The goal of this newdesign is to provide a more approachable and student-friendly text. Procedural Examples & Boxes - Each new topic is approachedwith careful clarity by providing step-by-step problem-solving techniques.These techniques are demonstrated in the numerous proceduralexamples and in the frequent procedural summary boxeshighlighting the techniques demonstrated.FEATURES Additional Just-in-Time Reviews – This Hallmark feature servesas a handy reference that quickly reminds students of importantconcepts from college algebra or precalculus as they are being usedin examples and discussions. Each review is placed in the marginadjacent to the location where the reviewed topic material is used.This allows for immediate reinforcement, without distracting from thematerial under discussion. A Vast Assortment of Applications - Hoffmann/Bradley containsover 400 different applications of problems in business, economics,finance & investment, the life & environmental sciences, the physicalsciences, and the social sciences. Great effort is made to ensure thattopics are applied to these practical problems soon after their introduction.Many new problems have been added, as well as obsoleteor outdated data has been removed. Explore! Technology - For those choosing to include a graphingfocus in their course, the Explore! boxes guide students in the use ofgraphing calculators and challenge their understanding of the topicspresented through explorations tied to specific examples. Each chapterconcludes with an Explore! Update section that provides solutionsand hints to selected boxes throughout the chapter.CONTENTSChapter 1: Functions, Graphs, and Limits1.1 Functions1.2 The Graph of a Function1.3 Linear Functions1.4 Functional Models1.5 Limits1.6 One-Sided Limits and ContinuityChapter 2: Differentiation: Basic Concepts2.1 The Derivative2.2 Techniques of Differentiation2.3 Product and Quotient Rules; Higher-Order Derivatives2.4 The Chain Rule2.5 Marginal Analysis and Approximations Using Increments2.6 Implicit Differentiation and Related RatesChapter 3: Additional Applications of the Derivative3.1 Increasing and Decreasing Functions; Relative Extrema3.2 Concavity and Points of Inflection3.3 Curve Sketching3.4 Optimization; Elasticity of Demand3.5 Additional Applied OptimizationChapter 4: Exponential and Logarithmic Functions4.1 Exponential Functions: Continuous Compounding4.2 Logarithmic Functions4.3 Applications; Exponential ModelsChapter 5: Integration5.1 Antidifferentiation: The Indefinite Integral5.2 Integration by Substitution5.3 The Definite Integral and the Fundamental Theorem of Calculus5.4 Applying Definite Integration: Area Between Curves and AverageValue5.5 Additional Applications to Business and Economics5.6 Additional Applications to the Life and Social SciencesChapter 6: Additional Topics in Integration6.1 Integration by Parts; Integral Tables6.2 Introduction to Differential Equations6.3 Improper Integrals; Continuous Probability6.4 Numerical IntegrationChapter 7: Calculus of Several Variables7.1 Functions of Several Variables7.2 Partial Derivatives7.3 Optimizing Functions of Two Variables7.4 The Method of Least-Squares7.5 Constrained Optimization: The Method of Lagrange Multipliers7.6 Double IntegralsAppendix A: Algebra Review64

CALCULUSA.1 A Brief Review of AlgebraA.2 Factoring Polynomials and Solving Systems of EquationsA.3 Evaluating Limits with L’Hopital’s RuleA.4 The Summation NotationCalculus andAnalytic GeometryBUSINESS CALCULUS DEMYSTIFIEDBy Rhonda Huettenmueller2006 (December 2005) / 384 pagesISBN: 978-0-07-145157-4A Professional PublicationCONTENTSChapter 1: Algebra ReviewThe slope and equation of a lineFinding x-interceptsSolving equationsQuadratic functionsThe vertexThe maximum/minimum value of a quadratic functionIncreasing/decreasing intervalsSome important exponent propertiesChapter 2: Average rate of changeLimitsChapter 3: Definition of derivativeProperties of the derivativeInstantaneous rates of changeThe tangent lineThe Power RuleThe Product RuleThe Quotient RuleThe Chain RuleLayering different formulasChapter 5: ApplicationsOptimizing functionsMaximizing revenue and profit, minimizing cost, and other optimizingproblemsChapter 6: The second derivativeConcavityAnother method for optimizing functionsChapter 7: Implicit differentiationChapter 8: Rational functionsLimits and asymptotesChapter 9: Using calculus to sketch graphsGraphs of polynomial functionsChapter 10: Exponents and Logarithm functionsUsing log properties to simplify differentiationChapter 11: IntegrationThe antiderivativeIntegration formulasThe area under the curveMore integration formulasIntegration techniquesChapter 12: Applications of the integralCALCULUS: LATE TRANSCENDENTALFUNCTIONSThird EditionBy Robert Smith, Millersville University and Roland Minton, RoanokeCollege2008 (January 2007)ISBN: 978-0-07-331270-5ISBN: 978-0-07-110199-8 [IE]ISBN: 978-0-07-729595-0 [with Mathzone access card]Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easierto read than any other math book they’ve used. That testimony underscoresthe success of the authors’ approach which combines themost reliable aspects of mainstream Calculus teaching with the bestelements of reform, resulting in a motivating, challenging book. Smith/Minton wrote the book for the students who will use it, in a languagethat they understand, and with the expectation that their backgroundsmay have some gaps. Smith/Minton provide exceptional, reality-basedapplications that appeal to students’ interests and demonstrate theelegance of math in the world around us.CONTENTSChapter 0: Preliminaries0.1 The Real Numbers and the Cartesian Plane0.2 Lines and Functions0.3 Graphing Calculators and Computer Algebra Systems0.4 Trigonometric Functions0.5 Transformations of FunctionsChapter 1: Limits and Continuity1.1 A Brief Preview of Calculus: Tangent Lines and the Length of aCurve1.2 The Concept of Limit1.3 Computation of Limits1.4 Continuity and its Consequences / The Method of Bisections1.5 Limits Involving Infinity / Asysmptotes1.6 The Formal Definition of the Limit1.7 Limits and Loss-of-Significance Errors / Computer Representationor Real NumbersChaper 2: Differentiation2.1 Tangent Lines and Velocity2.2 The Derivative / Alternative Derivative Notations / NumericalDifferentiation2.3 Computation of Derivatives: The Power Rule / Higher OrderDerivatives / Acceleration2.4 The Product and Quotient Rules2.5 The Chain Rule2.6 Derivatives of the Trigonometric Functions2.7 Implicit Differentiation2.8 The Mean Value TheoremChapter 3: Applications of Differentiation3.1 Linear Approximations and Newton’s Method3.2 Maximum and Minimum Values3.3 Increasing and Decreasing Functions3.4 Concavity and the Second Derivative Test3.5Overview of Curve Sketching3.6Optimization3.7 Related Rates3.8 Rates of Change in Economics and the SciencesChapter 4: Integration4.1 Antiderivatives4.2 Sums and Sigma Notation / Principle of Mathematical Induction4.3 Area under a Curve65

CALCULUS4.4 The Definite Integral / Average Value of a Function4.5 The Fundamental Theorem of Calculus4.6 Integration by Substitution4.7 Numerical Integration / Error bounds for Numerical IntegrationChapter 5: Applications of the Definite Integral5.1 Area Between Curves5.2 Volume: Slicing, Disks, and Washers5.3 Volumes by Cylindrical Shells5.4 Arc Length and Srface Area5.5 Projectile Motion5.6 Applications of Integration to Physics and EngineeringChapter 6: Exponentials, Logarithms and other TranscendentalFunctions6.1 The Natural Logarithm6.2 Inverse Functions6.3 Exponentials6.4 The Inverse Trigonometric Functions6.5 The Calculus of the Inverse Trigonometric Functions6.6 The Hyperbolic FunctionChapter 7: First-Order Differential Equations7.1 Modeling with Differential Equations / Growth and Decay Problems/ Compound Interest7.2 Separable Differential Equations / Logistic Growth7.3 Direction Fields and Euler’s Method7.4 Systems of First-Order Differential Equations / Predator-PreySystems7.6 Indeterminate Forms and L’Hopital’s Rule / Improper Integrals /A Comparison Test7.8 ProbabilityChapter 8: First-Order Differential Equations8.1 modeling with Differential Equations / Growth and Decay Problems/ Compound Interest8.2 Separable Differential Equations / Logistic Growth8.3 Direction Fields and Euler’s Method / Systems of First OrderEquationsChapter 9: Infinite Series9.1 Sequences of Real Numbers9.2 Infinite Series9.3 The Integral Test and Comparison Tests9.4 Alternating Series / Estimating the Sum of an Alternating Series9.5 Absolute Convergence and the Ratio Test / The Root Test / Summaryof Convergence Test9.6 Power Series9.7 Taylor Series / Representations of Functions as Series / Proof ofTaylor’s Theorem9.8 Applications of Taylor Series / The Binomial Series9.9 Fourier SeriesChapter 10: Parametric Equations and Polar Coordinates10.1 Plane Curves and Parametric Equations10.2 Calculus and Parametric Equations10.3 Arc Length and Surface Area in Parametric Equations10.4 Polar Coordinates10.5 Calculus and Polar Coordinates10.6 Conic Sections10.7 Conic Sections in Polar CoordinatesChapter 11: Vectors and the Geometry of Space11.1 Vectors in the Plane11.2 Vectors in Space11.3 The Dot Product / Components and Projections11.4 The Cross Product11.5 Lines and Planes in Space11.6 Surfaces in SpaceChapter 12: Vector-Valued Functions12.1 Vector-Valued Functions12.2 The Calculus Vector-Valued Functions12.3 Motion in Space12.4 Curvature12.5 Tangent and Normal Vectors / Components of Acceleration,Kepler’s Laws12.6 Parametric SurfacesChapter 13: Functions of Several Variables and Partial Differentiation13.1 Functions of Several Variables13.2 Limits and Continuity13.3 Partial Derivatives13.4 Tangent Planes and Linear Approximations / Increments andDifferentials13.5 The Chain Rule / Implicit Differentiation13.6 The Gradient and Directional Derivatives13.7 Extrema of Functions of Several Variables13.8 Constrained Optimization and Lagrange MultipliersChapter 14: Multiple Integrals14.1 Double Integrals14.2 Area, Volume, and Center of Mass14.3 Double Integrals in Polar Coordinates14.4 Surface Area14.5 Triple Integrals / Mass and Center of Mass14.6 Cylindrical Coordinates14.7 Spherical Coordinates14.8 Change of Variables in Multiple IntegralsChapter 15: Vector Calculus15.1 Vector Fields15.2 Line Integrals15.3 Independence of Path and Conservative Vector Fields15.4 Green’s Theorem15.5 Curl and Divergence15.6 Surface Integrals15.7 The Divergence Theorem15.8 Stokes’ Theorem15.9 Applications of Vector CalculusChapter 16: Second-Order Differential Equations16.1 Second-Order Equations with Constant Coefficients16.2 Nonhomogeneous Equations: Undetermined Coefficients16.3 Applications of Second-Order Differential Equations16.4 Power Series Solutions of Differential EquationsAppendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered ExercisesInternational EditionCALCULUS WITH MATHZONEEarly Transcendental FunctionsThird EditionBy Robert T. Smith, Millersville University, and Roland B. Minton,Roanoke College2007 (February 2006) / Hardcover with access cardISBN: 978-0-07-330944-6ISBN: 978-0-07-322973-7 (with MathZone) - Out-of-PrintISBN: 978-0-07-110807-2 [IE with MathZone]ISBN: 978-0-07-110751-8 [IE without MathZone]Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easierto read than any other math book they’ve used. That testimonyunderscores the success of the authors’ approach, which combinesthe best elements of reform with the most reliable aspects of mainstreamcalculus teaching, resulting in a motivating, challenging book.Smith/Minton also provide exceptional, reality-based applications thatappeal to students’ interests and demonstrate the elegance of mathin the world around us.CONTENTSChapter 0: Preliminaries0.1 Polynomials and Rational Functions0.2 Graphing Calculators and Computer Algebra Systems0.3 Inverse Functions0.4 Trigonometric and Inverse Trigonometric Functions0.5 Exponential and Logarithmic Functions. Hyperbolic Functions.Fitting a Curve to Data0.6 Transformations of Functions.66

CALCULUSChapter 1: Limits and Continuity1.1 A First Look at Calculus1.2 The Concept of Limit1.3 Computation of Limits1.4 Continuity and its Consequences. The Method of Bisections.1.5 Limits Involving Infinity. Asymptotes.1.6 Formal Definition of the Limit. Exploring the Definition of LimitGraphically1.7 Limits and Loss-of-Significance Errors. Computer Representationof Real Numbers.Chapter 2: Differentiation2.1 Tangent Lines and Velocity2.2 The Derivative Numerical Differentiation2.3 Computation of Derivatives: The Power Rule. Higher Order Derivatives.Acceleration.2.4 The Product and Quotient Rules2.5 The Chain Rule2.6 Derivatives of the Trigonometric Functions2.7 Derivatives of the Exponential and Logarithmic Functions2.8 Implicit Differentiation and Inverse Trigonometric Functions2.9 The Mean Value Theorem.Chapter 3: Applications of Differentiation3.1 Linear Approximations and Newton’s Method3.2 Indeterminate Forms and L’Hopital’s Rule3.3 Maximum and Minimum Values3.4 Increasing and Decreasing Functions3.5 Concavity and the Second Derivative Test3.6 Overview of Curve Sketching3.7 Optimization3.8 Related Rates3.9 Rates of Change in Economics and the Sciences.Chapter 4: Integration4.1 Antiderivatives4.2 Sums and Sigma Notation. Principle of Mathematical Induction4.3 Area4.4 The Definite Integral. Average Value of a Function4.5 The Fundamental Theorem of Calculus4.6 Integration by Substitution4.7 Numerical Integration. Error Bounds for Numerical Integration4.8 The Natural Logarithm as an Integral. The Exponential Functionas the Inverse of the Natural Logarithm.Chapter 5: Applications of the Definite Integral5.1 Area Between Curves5.2 Volume: Slicing, Disks, and Washers5.3 Volumes by Cylindrical Shells5.4 Arc Length and Surface Area5.5 Projectile Motion5.6 Applications of Integration to Economics and the Sciences5.7 ProbabilityChapter 6: Integration Techniques6.1 Review of Formulas and Techniques6.2 Integration by Parts6.3 Trigonometric Techniques of Integration. Integrals Involving Powersof Trigonometric Functions. Trigonometric Substitution.6.4 Integration of Rational Functions Using Partial Fractions. GeneralStrategies for Integration Techniques6.5 Integration Tables and Computer Algebra Systems6.6 Improper Integrals. A Comparison Test.Chapter 7: First Order Differential Equations7.1 Growth and Decay Problems. Compound Interest. Modeling withDifferential Equations.7.2 Separable Differential Equations. Logistic Growth7.3 Direction Fields and Euler’s Method7.4 Systems of First Order Differential Equations. Predator-PreySystemsChapter 8: Infinite Series8.1 Sequences of Real Numbers8.2 Infinite Series8.3 The Integral Test and Comparison Tests8.4 Alternating Series. Estimating the Sum of an Alternating Series8.5 Absolute Convergence and the Ratio Test. The Root Test. Summaryof Convergence Tests8.6 Power Series8.7 Taylor Series. Representations of Functions as Series. Proof ofTaylor’s Theorem.8.8 Applications of Taylor Series. The Binomial Series.8.9 Fourier Series.Chapter 9: Parametric Equations and Polar Coordinates.9.1 Plane Curves and Parametric Equations.9.2 Calculus and Parametric Equations.9.3 Arc Length and Surface Area in Parametric Equations.9.4 Polar Coordinates.9.5 Calculus and Polar Coordinates.9.6 Conic Sections.9.7 Conic Sections in Polar Coordinates.Chapter 10: Vectors and the Geometry of Space.10.1 Vectors in the Plane.10.2 Vectors in Space10.3 The Dot Product. Components and Projections10.4 The Cross Product10.5 Lines and Planes in Space10.6 Surfaces in Space.Chapter 11: Vector-Valued Functions11.1 Vector-Valued Functions11.2 The Calculus of Vector-Valued Functions11.3 Motion in Space11.4 Curvature11.5 Tangent and Normal Vectors. Tangential and Normal Componentsof Acceleration. Kepler’s Laws11.6 Parametric Surfaces.Chapter 12: Functions of Several Variables and Differentiation.12.1 Functions of Several Variables12.2 Limits and Continuity12.3 Partial Derivatives12.4 Tangent Planes and Linear Approximations. Increments andDifferentials.12.5 The Chain Rule12.6 The Gradient and Directional Derivatives12.7 Extrema of Functions of Several Variables12.8 Constrained Optimization and Lagrange MultipliersChapter 13: Multiple Integrals13.1 Double Integrals13.2 Area, Volume, and Center of Mass13.3 Double Integrals in Polar Coordinates13.4 Surface Area13.5 Triple Integrals. Mass and Center of Mass13.6 Cylindrical Coordinates13.7 Spherical Coordinates13.8 Change of Variables in Multiple IntegralsChapter 14: Vector Calculus14.1 Vector Fields14.2 Line Integrals14.3 Independence of Path and Conservative Vector Fields14.4 Green’s Theorem14.5 Curl and Divergence14.6 Surface Integrals14.7 The Divergence Theorem14.8 Stokes’ Theorem14.9 Applications of Vector Calculus.Chapter 15: Second Order Differential Equations15.1 Second-Order Equations with Constant Coefficients15.2 Nonhomogeneous Equations: Undetermined Coefficients15.3 Applications of Second Order Equations15.4 Power Series Solutions of Differential Equations.Appendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered Exercises.67

CALCULUSInternational EditionCALCULUS: Concepts and ConnectionsBy Robert T Smith, Millersville University and Roland B Minton, RoanokeCollege2006 / 1,312 pagesISBN: 978-0-07-330929-3ISBN: 978-0-07-301607-8 (with MathZone)ISBN: 978-0-07-124902-7 [IE without MathZone]http://www.mhhe.com/smithmintonCONTENTSChapter 0: Preliminaries:Polynomial and Rational Functions.Graphing Calculators and Computer Algebra Systems.Inverse Functions.Trigonometric and Inverse Trigonometric Functions.Exponential and Logarithmic Functions.Parametric Equations and Polar Coordinates.Chapter 1: Limits and Continuity:Preview of Calculus.The Concept of Limit.Computation of Limits.Continuity and its Consequences.Method of Bisections.Limits Involving Infinity.Limits and Loss-of-Significance Errors.Chapter 2: Differentiation:Tangent Lines and Velocity.The Derivative.Computation of Derivatives: The Power Rule.The Product and Quotient Rules.The Chain Rule.Derivatives of Trigonometric and Inverse Trigonometric Functions.Derivatives of Exponential and Logarithmic Functions.Implicit Differentiation and Related Rates.The Mean Value Theorem.Chapter 3: Applications of Differentiation:Linear Approximations and Newton’s Method.Indeterminate Forms and L’Hopital’s Rule.Maximum and Minimum Values.Increasing and Decreasing Functions.Concavity and Overview of Curve Sketching.Optimization.Rates of Change in Applications.Chapter 4: Integration:Area under a Curve.The Definite Integral.Average Value of a Function.Antiderivatives.The Fundamental Theorem of Calculus.Integration by Substitution.Trigonometric Techniques of Integration.Integration by Parts.Other Techniques of Integration.Integration Tables and Computer Algebra Systems.Numerical Integration.Improper Integrals.Comparison Test.Chapter 5: Applications of the Definite Integral:Area Between Curves.Volume.Slicing, Disks and Washers.Arc Length and Surface Area.Projectile Motion.Work, Moments, and Hydrostatic Force.Probability.Chapter 6: Differential Equations:Growth and Decay Problems.Separable Differential Equations.Euler’s Method.Second Order Equations with Constant Coefficients.Nonhomogeneous Equations: Undetermined Coefficients.Applications of Differential Equations.Chapter 7: Infinite Series:Sequences of Real Numbers.Infinite Series.The Integral Test and Comparison Tests.Alternating Series.Absolute Convergence and the Ratio Test.Power Series.Taylor Series.Taylor’s Theorem.Applications of Taylor Series.Fourier Series.Power Series Solutions of Differential Equations.Chapter 8: Vectors and the Geometry of Space:Vectors in the Plane.Vectors in Space.The Dot Product.Components and Projections.The Cross Product.Lines and Planes in Space.Surfaces in Space.Chapter 9: Vector-Valued Functions:Vector-Valued Functions.Parametric Surfaces.The Calculus of Vector-Valued Functions.Motion in Space.Curvature.Tangent and Normal Vectors.Components of Acceleration, Kepler’s Laws.Chapter 10: Functions of Several Variables and Differentiation:Functions of Several Variables.Limits and Continuity.Partial Derivatives.Tangent Planes and Linear Approximations.The Chain Rule.Implicit Differentiation.The Gradient and Directional Derivatives.Extrema of Functions of Several Variables.Constrained Optimization and Lagrange Multipliers.Chapter 11: Multiple Integrals:Double Integrals.Area, Volume and Center of Mass.Double Integrals in Polar Coordinates.Surface Area.Triple Integrals.Cylindrical Coordinates.Spherical Coordinates.Change of Variables in Multiple Integrals.Chapter 12: Vector Calculus:Vector Fields.Curl and Divergence.Line Integrals.Independence of Path and Conservative Vector Fields.Green’s Theorem.Surface Integrals.Parametric Representation of Surfaces.The Divergence Theorem.Stokes’ Theorem.Applications of Vector Calculus.Appendices:A.1 Formal Definition of Limit.A.2 Complete Derivation of Derivatives of sin x and cos x.A.3 Natural Logarithm Defined as an Integral; Exponential Definedas the Inverse of the Natural Logarithm.A.4 Hyperbolic Functions.A.5 Conic Sections in Polar Coordinates.A.6 Proofs of Selected Theorems.68

CALCULUSFIVE STEPS TO A 5 AP CALCULUS AB-BCSecond EditionBy William Ma2007 (December 2006) / 360 pagesISBN: 978-0-07-147629-4A Professional ReferenceThe AP AB/BC calculus exams have the largest enrollment of any APexam. This new edition of the AB/BC guide has been expanded tocover both the AB and BC calculus tests and includes key updates onall the material covered in the latest revision of the exams.CONTENTSPrefaceAcknowledgmentsPart I: How to Use This BookPart II: What You Need to Know About the AP Calculus ExamsPart III: Comprehensive ReviewChapter 1: Limits and ContinuityChapter 2: DifferentiationChapter 3: Graphs of Functions and DerivativesChapter 4: Applications of DerivativesChapter 5: More Applications of DerivativesChapter 6: IntegrationChapter 7: Definite IntegralsChapter 8: Areas and VolumesChapter 9: More Applications of Definite IntegralsChapter 10: SeriesPart IV: Practice Makes PerfectAppendix I: Formulas And TheoremsAppendix II: BibliographyAppendix III: WebsitesSCHAUM’S OUTLINE OF ADVANCEDCALCULUSSecond EditionBy Robert C Wrede, and Murray R Spiegel (Deceased)2002 / 356 pagesISBN: 978-0-07-137567-2A Schaum’s PublicationCONTENTSNumbers.Basic Point-Set Topology.Functions, Limits, and Continuity.Special Functions (Log, Exp, Circular Trig, Hyperbolics).Sequences.Derivative.Integrals.Partial Derivatives.Vectors.Applications.Differential Geometry (Curvature, Torsion,).Multiple Integrals.Line/Surface Integrals.Change of Variable.Infinite Sequences.Infinite Series.Improper Integrals.Gamma and Beta Functions.Fourier Series.Fourier Integrals.Laplace Transforms.Function of Complex VariablesSingle Variable CalculusInternational EditionCALCULUS, SINGLE VARIABLE: LATETRANSCENDENTAL FUNCTIONSThird EditionBy Robert Smith, Millersville University and Roland Minton, RoanokeCollege2008 (January 2007)ISBN: 978-0-07-331419-8ISBN: 978-0-07-110198-1 [IE]Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easierto read than any other math book they’ve used. That testimony underscoresthe success of the authors’ approach which combines themost reliable aspects of mainstream Calculus teaching with the bestelements of reform, resulting in a motivating, challenging book. Smith/Minton wrote the book for the students who will use it, in a languagethat they understand, and with the expectation that their backgroundsmay have some gaps. Smith/Minton provide exceptional, reality-basedapplications that appeal to students’ interests and demonstrate theelegance of math in the world around us. New features include: •Many new exercises and examples (for a total of 7,000 exercisesand 1000 examples throughout the book) provide a careful balanceof routine, intermediate and challenging exercises • New exploratoryexercises in every section that challenge students to make connectionsto previous introduced material. • New commentaries (“BeyondFormulas”) that encourage students to think mathematically beyondthe procedures they learn. • New counterpoints to the historical notes,“Today in Mathematics,” stress the contemporary dynamism of mathematicalresearch and applications, connecting past contributions tothe present. • An enhanced discussion of differential equations andadditional applications of vector calculus. • Exceptional Media Resources:Within MathZone, instructors and students have access toa series of unique Conceptual Videos that help students understandkey Calculus concepts proven to be most difficult to comprehend, 248Interactive Applets that help students master concepts and proceduresand functions, 1600 algorithms , and 113 e-Professors.CONTENTSChapter 0: Preliminaries0.1 The Real Numbers and the Cartesian Plane0.2 Lines and Functions0.3 Graphing Calculators and Computer Algebra Systems0.4 Trigonometric Functions0.5 Transformations of FunctionsChapter 1: Limits and Continuity1.1 A Brief Preview of Calculus: Tangent Lines and the Length of aCurve1.2 The Concept of Limit1.3 Computation of Limits1.4 Continuity and its Consequences / The Method of Bisections1.5 Limits Involving Infinity / Asysmptotes1.6 The Formal Definition of the Limit1.7 Limits and Loss-of-Significance Errors / Computer Representationor Real NumbersChaper 2: Differentiation2.1 Tangent Lines and Velocity2.2 The Derivative / Alternative Derivative Notations / Numerical Differentiation2.3 Computation of Derivatives: The Power Rule / Higher Order Derivatives/ Acceleration2.4 The Product and Quotient Rules2.5 The Chain Rule2.6 Derivatives of the Trigonometric Functions2.7 Implicit Differentiation2.8 The Mean Value TheoremChapter 3: Applications of Differentiation69

CALCULUS3.1 Linear Approximations and Newton’s Method3.2 Maximum and Minimum Values3.3 Increasing and Decreasing Functions3.4 Concavity and the Second Derivative Test3.5Overview of Curve Sketching3.6Optimization3.7 Related Rates3.8 Rates of Change in Economics and the SciencesChapter 4: Integration4.1 Antiderivatives4.2 Sums and Sigma Notation / Principle of Mathematical Induction4.3 Area under a Curve4.4 The Definite Integral / Average Value of a Function4.5 The Fundamental Theorem of Calculus4.6 Integration by Substitution4.7 Numerical Integration / Error bounds for Numerical IntegrationChapter 5: Applications of the Definite Integral5.1 Area Between Curves5.2 Volume: Slicing, Disks, and Washers5.3 Volumes by Cylindrical Shells5.4 Arc Length and Srface Area5.5 Projectile Motion5.6 Applications of Integration to Physics and EngineeringChapter 6: Exponentials, Logarithms and other TranscendentalFunctions6.1 The Natural Logarithm6.2 Inverse Functions6.3 Exponentials6.4 The Inverse Trigonometric Functions6.5 The Calculus of the Inverse Trigonometric Functions6.6 The Hyperbolic FunctionChapter 7: First-Order Differential Equations7.1 Modeling with Differential Equations / Growth and Decay Problems/ Compound Interest7.2 Separable Differential Equations / Logistic Growth7.3 Direction Fields and Euler’s Method7.4 Systems of First-Order Differential Equations / Predator-PreySystems7.6 Indeterminate Forms and L’Hopital’s Rule / Improper Integrals /A Comparison Test7.8 ProbabilityChapter 8: First-Order Differential Equations8.1 modeling with Differential Equations / Growth and Decay Problems/ Compound Interest8.2 Separable Differential Equations / Logistic Growth8.3 Direction Fields and Euler’s Method / Systems of First OrderEquationsChapter 9: Infinite Series9.1 Sequences of Real Numbers9.2 Infinite Series9.3 The Integral Test and Comparison Tests9.4 Alternating Series / Estimating the Sum of an Alternating Series9.5 Absolute Convergence and the Ratio Test / The Root Test / Summaryof Convergence Test9.6 Power Series9.7 Taylor Series / Representations of Functions as Series / Proof ofTaylor’s Theorem9.8 Applications of Taylor Series / The Binomial Series9.9 Fourier SeriesChapter 10: Parametric Equations and Polar Coordinates10.1 Plane Curves and Parametric Equations10.2 Calculus and Parametric Equations10.3 Arc Length and Surface Area in Parametric Equations10.4 Polar Coordinates10.5 Calculus and Polar Coordinates10.6 Conic Sections10.7 Conic Sections in Polar CoordinatesChapter 11: Vectors and the Geometry of Space11.1 Vectors in the Plane11.2 Vectors in Space11.3 The Dot Product / Components and Projections11.4 The Cross Product11.5 Lines and Planes in Space11.6 Surfaces in SpaceChapter 12: Vector-Valued Functions12.1 Vector-Valued Functions12.2 The Calculus Vector-Valued Functions12.3 Motion in Space12.4 Curvature12.5 Tangent and Normal Vectors / Components of Acceleration,Kepler’s Laws12.6 Parametric SurfacesChapter 13: Functions of Several Variables and Partial Differentiation13.1 Functions of Several Variables13.2 Limits and Continuity13.3 Partial Derivatives13.4 Tangent Planes and Linear Approximations / Increments andDifferentials13.5 The Chain Rule / Implicit Differentiation13.6 The Gradient and Directional Derivatives13.7 Extrema of Functions of Several Variables13.8 Constrained Optimization and Lagrange MultipliersChapter 14: Multiple Integrals14.1 Double Integrals14.2 Area, Volume, and Center of Mass14.3 Double Integrals in Polar Coordinates14.4 Surface Area14.5 Triple Integrals / Mass and Center of Mass14.6 Cylindrical Coordinates14.7 Spherical Coordinates14.8 Change of Variables in Multiple IntegralsChapter 15: Vector Calculus15.1 Vector Fields15.2 Line Integrals15.3 Independence of Path and Conservative Vector Fields15.4 Green’s Theorem15.5 Curl and Divergence15.6 Surface Integrals15.7 The Divergence Theorem15.8 Stokes’ Theorem15.9 Applications of Vector CalculusChapter 16: Second-Order Differential Equations16.1 Second-Order Equations with Constant Coefficients16.2 Nonhomogeneous Equations: Undetermined Coefficients16.3 Applications of Second-Order Differential Equations16.4 Power Series Solutions of Differential EquationsAppendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered ExercisesCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia70

CALCULUSInternational EditionCALCULUS: SINGLE VARIABLEEarly Transcendental FunctionsThird EditionBy Robert T. Smith, Millersville University, and Roland B. Minton,Roanoke College2007 (December 2005) / Hardcover with access cardISBN: 978-0-07-330943-9ISBN: 978-0-07-321531-0 (with MathZone) - Out-of PrintISBN: 978-0-07-110786-0 [IE with MathZone]Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easierto read than any other math book they’ve used. That testimony underscoresthe success of the authors’ approach, which combines thebest elements of reform with the most reliable aspects of mainstreamcalculus teaching, resulting in a motivating, challenging book. Smith/Minton also provide exceptional, reality-based applications that appealto students’ interests and demonstrate the elegance of math in theworld around us. New features include: • A new organization placingall transcendental functions early in the book and consolidating theintroduction to L’Hôpital’s Rule in a single section. • More conciselywritten explanations in every chapter. • Many new exercises (for atotal of 7,000 throughout the book) that require additional rigor notfound in the 2nd Edition. • New exploratory exercises in every sectionthat challenge students to synthesize key concepts to solve intriguingprojects. • New commentaries (“Beyond Formulas”) that encouragestudents to think mathematically beyond the procedures they learn.• New counterpoints to the historical notes, “Today in Mathematics,”that stress the contemporary dynamism of mathematical researchand applications, connecting past contributions to the present. • Anenhanced discussion of differential equations and additional applicationsof vector calculus.CONTENTSChapter 0: Preliminaries0.1 Polynomials and Rational Functions0.2 Graphing Calculators and Computer Algebra Systems0.3 Inverse Functions0.4 Trigonometric and Inverse Trigonometric Functions0.5 Exponential and Logarithmic Functions. Hyperbolic Functions.Fitting a Curve to Data0.6 Transformations of FunctionsChapter 1: Limits and Continuity1.1 A First Look at Calculus1.2 The Concept of Limit1.3 Computation of Limits1.4 Continuity and its Consequences. The Method of Bisections1.5 Limits Involving Infinity. Asymptotes.1.6 Formal Definition of the Limit. Exploring the Definition of LimitGraphically1.7 Limits and Loss-of-Significance Errors. Computer Representationof Real Numbers.Chapter 2: Differentiation2.1 Tangent Lines and Velocity2.2 The Derivative. Numerical Differentiation2.3 Computation of Derivatives: The Power Rule. Higher Order Derivatives.Acceleration.2.4 The Product and Quotient Rules2.5 The Chain Rule2.6 Derivatives of the Trigonometric Functions2.7 Derivatives of the Exponential and Logarithmic Functions2.8 Implicit Differentiation and Inverse Trigonometric Functions2.9 The Mean Value TheoremChapter 3: Applications of Differentiation.3.1 Linear Approximations and Newton’s Method3.2 Indeterminate Forms and L’Hopital’s Rule3.3 Maximum and Minimum Values3.4 Increasing and Decreasing Functions3.5 Concavity and the Second Derivative Test3.6 Overview of Curve Sketching3.7 Optimization3.8 Related Rates3.9 Rates of Change in Economics and the SciencesChapter 4: Integration4.1 Antiderivatives4.2 Sums and Sigma Notation. Principle of Mathematical Induction4.3 Area4.4 The Definite Integral. Average Value of a Function4.5 The Fundamental Theorem of Calculus4.6 Integration by Substitution4.7 Numerical Integration. Error Bounds for Numerical Integration4.8 The Natural Logarithm as an Integral. The Exponential Functionas the Inverse of the Natural Logarithm.Chapter 5: Applications of the Definite Integral5.1 Area Between Curves5.2 Volume: Slicing, Disks, and Washers5.3 Volumes by Cylindrical Shells5.4 Arc Length and Surface Area5.5 Projectile Motion5.6 Applications of Integration to Economics and the Sciences5.7 Probability.Chapter 6: Integration Techniques6.1 Review of Formulas and Techniques6.2 Integration by Parts6.3 Trigonometric Techniques of Integration. Integrals Involving Powersof Trigonometric Functions. Trigonometric Substitution6.4 Integration of Rational Functions Using Partial Fractions. GeneralStrategies for Integration Techniques6.5 Integration Tables and Computer Algebra Systems6.6 Improper Integrals. A Comparison Test.Chapter 7: First Order Differential Equations7.1 Growth and Decay Problems. Compound Interest. Modeling withDifferential Equations.7.2 Separable Differential Equations. Logistic Growth.7.3 Direction Fields and Euler’s Method7.4 Systems of First Order Differential Equations. Predator-PreySystems.Chapter 8: Infinite Series8.1 Sequences of Real Numbers8.2 Infinite Series8.3 The Integral Test and Comparison Tests8.4 Alternating Series. Estimating the Sum of an Alternating Series8.5 Absolute Convergence and the Ratio Test. The Root Test. Summaryof Convergence Tests8.6 Power Series8.7 Taylor Series. Representations of Functions as Series. Proof ofTaylor’s Theorem8.8 Applications of Taylor Series. The Binomial Series8.9 Fourier SeriesChapter 9: Parametric Equations and Polar Coordinates9.1 Plane Curves and Parametric Equations9.2 Calculus and Parametric Equations9.3 Arc Length and Surface Area in Parametric Equations9.4 Polar Coordinates9.5 Calculus and Polar Coordinates9.6 Conic Sections9.7 Conic Sections in Polar CoordinatesChapter 10: Vectors and the Geometry of Space10.1 Vectors in the Plane10.2 Vectors in Space10.3 The Dot Product. Components and Projections10.4 The Cross Product10.5 Lines and Planes in Space10.6 Surfaces in Space.Chapter 11: Vector-Valued Functions11.1 Vector-Valued Functions11.2 The Calculus of Vector-Valued Functions11.3 Motion in Space11.4 Curvature11.5 Tangent and Normal Vectors. Tangential and Normal. Componentsof Acceleration. Kepler’s Laws.71

CALCULUS11.6 Parametric Surfaces.Chapter 12: Functions of Several Variables and Differentiation.12.1 Functions of Several Variables12.2 Limits and Continuity.12.3 Partial Derivatives12.4 Tangent Planes and Linear Approximations. Increments andDifferentials.12.5 The Chain Rule12.6 The Gradient and Directional Derivatives12.7 Extrema of Functions of Several Variables12.8 Constrained Optimization and Lagrange Multipliers.Chapter 13: Multiple Integrals13.1 Double Integrals13.2 Area, Volume, and Center of Mass13.3 Double Integrals in Polar Coordinates13.4 Surface Area13.5 Triple Integrals. Mass and Center of Mass.13.6 Cylindrical Coordinates13.7 Spherical Coordinates13.8 Change of Variables in Multiple IntegralsChapter 14: Vector Calculus14.1 Vector Fields14.2 Line Integrals14.3 Independence of Path and Conservative Vector Fields14.4 Green’s Theorem14.5 Curl and Divergence14.6 Surface Integrals14.7 The Divergence Theorem14.8 Stokes’ Theorem14.9 Applications of Vector CalculusChapter 15: Second Order Differential Equations15.1 Second-Order Equations with Constant Coefficients15.2 Non-homogeneous Equations: Undetermined Coefficients15.3 Applications of Second Order Equations15.4 Power Series Solutions of Differential EquationsAppendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered Exercises.SCHAUM’S OUTLINE OF CALCULUSFifth EditionBy Frank Ayres (deceased) and Elliott Mendelson, Queens College2009 (July 2008) / 572 pagesISBN: 978-0-07-150861-2A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to meet theemphasis in current courses. The ideal review for the hundreds ofthousands of colleges and high school students who enroll in calculuscourses.CONTENTS1. Linear Coordinate Systems. Absolute Value. Inequalities.2. Rectangular Coordinate Systems3. Lines4. Circles5. Equations and their Graphs6. Functions7. Limits8. Continuity9. The Derivative10. Rules for Differentiating Functions11. Implicit Differentiation12. Tangent and Normal Lines13. Law of the Mean. Increasing and Decreasing Functions14. Maximum and Minimum Values15. Curve Sketching. Concavity. Symmetry.16. Review of Trigonometry17. Differentiation of Trigonometric Functions18. Inverse Trigonometric Functions19. Rectilinear and Circular Motion20. Related Rates21. Differentials. Newton’s Method22. Antiderivatives23. The Definite Integral. Area under a Curve24. The Fundamental Theorem of Calculus25. The Natural Logarithm26. Exponential and Logarithmic Functions27. L’Hopital’s Rule28. Exponential Growth and Decay29. Applications of Integration I: Area and Arc Length30. Applications of Integration II: Volume31. Techniques of Integration I: Integration by Parts32. Techniques of Integration II: Trigonometric Integrands and TrigonometricSubstitutions33. Techniques of Integration III: Integration by Partial Fractions34. Miscellaneous Substitutions35. Improper Integrals36. Applications of Integration II: Area of a Surface of Revolution37. Parametric Representation of Curves38. CurvatureSCHAUM’S OUTLINE OF BEGINNINGCALCULSThird EditionBy Elliott Mendelson, Queens College2008 (August 2007) / 400 pagesISBN: 978-0-07-148754-2A Schaum’s PublicationThe guides that help students study faster, learn better- and get topgrades. This review of beginning calculus is updated to reflect thelatest course scope and sequences, with expanded explanations ofparticularly difficult topics.CONTENTSChapter 1: Coordinate Systems on a LineChapter 2: Coordinate Systems in a PlaneChapter 3: Graphs of EquationsChapter 4: Straight LinesChapter 5: Intersections of GraphsChapter 6: SymmetryChapter 7: Functions and Their GraphsChapter 8: LimitsChapter 9: Special LimitsChapter 10: ContinuityChapter 11: The Slope of a Tangent LineChapter 12: The DerivativeChapter 13: More on the DerivativeChapter 14: Maximum and Minimum ProblemsChapter 15: The Chain RuleChapter 16: Implicit DifferentiationChapter 17: The Mean-Value Theorem and the Sign of the DerivativeChapter 18: Rectilinear Motion and Instantaneous VelocityChapter 19: Instantaneous Rate of ChangeChapter 20: Related RatesChapter 21: Approximation by Differentials; Newton’s MethodChapter 22: Higher-Order DerivativesChapter 23: Applications of the Second Derivative and GraphSketchingChapter 24: More Maximum and Minimum ProblemsChapter 25: Angle MeasureChapter 26: Sine and Cosine FunctionsChapter 27: Graphs and Derivatives of Sine and Cosine FunctionsChapter 28: The Tangent and Other Trigonometric FunctionsChapter 29: Antiderivatives72

CALCULUSChapter 30: The Definite IntegralChapter 31: The Fundamental Theorem of CalculusChapter 32: Applications of Integration I: Area and Arc LengthChapter 33: Applications of Integration II: VolumeChapter 34: The Natural LogarithmChapter 35: Exponential FunctionsChapter 36: L’Hopital’s Rule; Exponential Growth and DecayChapter 37: Inverse Trigonometric FunctionsChapter 38: Integration by PartsChapter 39: Trigonometric Integrands and Trigonometric SubstitutionsChapter 40: Integration of Rational Functions; The Method of PartialFractionsAppendix A: Trigonometric FormulasAppendix B: Basic Integration FormulasAppendix C: Geometric FormulasAppendix D: Trigonometric FunctionsAppendix E: Natural LogarithmsAppendix F: Exponential FunctionsAnswers to Supplementary ProblemsIndexInternational EditionHOW TO SOLVE WORD PROBLEMS INCALCULUSBy Eugene Don and Benay Don2001 / 226 pagesISBN: 978-0-07-135897-2ISBN: 978-0-07-120383-8 [IE]A Professional Publication(International Edition is not for sale in Japan)Considered to be the hardest mathematical problems to solve, wordproblems continue to terrify students across all math disciplines.This new title in the World Problems series demystifi es these diffi cultproblems once and for all by showing even the most math-phobicreaders simple, step-by-step tips and techniques. How to Solve WorldProblems in Calculus reviews important concepts in calculus andprovides solved problems and step-by-step solutions. Once studentshave mastered the basic approaches to solving calculus word problems,they will confidently apply these new mathematical principles toeven the most challenging advanced problems. Each chapter featuresan introduction to a problem type, defi nitions, related theorems, andformulas. Topics range from vital pre-calculus review to traditionalcalculus fi rst-course content. Sample problems with solutions and a50-problem chapter are ideal for self-testing. Fully explained exampleswith step-by-step solutions.Chapter 6: Fundamental Integration Techniques and Applications.Chapter 7: The Definite Integral, Plane Areas by Integration, ImproperIntegrals.Appendix A: Differentiation Formulas for Common MathematicalFunctions.Appendix B: Integration Formulas for Common Mathematical Functions.Index.SCHAUM’S OUTLINE OF MATHEMATICABy Eugene Don2000 / 360 pagesISBN: 978-0-07-135719- 7A Schaum’s PublicationCONTENTSGetting Acquainted.Basic Concepts.Lists.Two-Dimensional Graphics.Three-Dimensional Graphics.Equations.Algebra and Trignometry.Differential Calculus.Integral Calculus.Multivariate Calculus.Ordinary Differential Equations.Linear Algebra.SCHAUM’S OUTLINE OF UNDERSTANDINGCALCULUS CONCEPTSBy Eli Passow, Temple University1996 / 224 pagesISBN: 978-0-07-048738-3A Schaum’s PublicationCONTENTSWhat It’s All About.The Derivative.Applications of the Derivative.The Integral.Applications of the Integral.Topics in Integration.Infinite Series.SCHAUM’S EASY OUTLINES: CALCULUSBy Frank Ayres (deceased) and Elliott Mendelson, Queens College2000 / 135 pagesISBN: 978-0-07-052710-2A Schaum’s Publicationhttp://books.mcgraw-hill.com/cgi-bin/getbook.pl?isbn=0070527105&adkey=W02003CONTENTSChapter 1: Functions, Sequences, Limits, and Continuity.Chapter 2: Differentiation.Chapter 3: Maxima and Minima.Chapter 4: Differentiation of Special Functions.Chapter 5: The Law of the Mean, Indeterminate Forms, Differentials,and Curve Sketching.International EditionSCHAUM’S OUTLINE OF DIFFERENTIALAND INTEGRAL CALCULUS, SI METRICThird EditionBy Frank Ayres, Jr, Dickinson College1992ISBN: 978-0-07-112531-4 [IE]A Schaum’s Publication(International Edition is not for sale in Japan.)73

CALCULUSInternational EditionSCHAUM’S 3,000 SOLVED PROBLEMS INCALCULUSBy Elliott Mendelson, Queens College1988 / 442 pagesISBN: 978-0-07-041523-2 (Out-of-Print)ISBN: 978-0-07-099148-4 [IE]A Schaum’s Publication(International Edition is not for sale in Japan.)This powerful problem-solver gives you 3,000 problems in calculus,fully solved step-by-step! From Schaum’s, the originator of the solvedproblemguide, and students’ favorite with over 30 million study guidessold this timesaver helps you master every type of calculus problemthat you will face in your homework and on your tests, from inequalitiesto differential equations. Work the problems yourself, then checkthe answers, or go directly to the answers you need with a completeindex. Compatible with any classroom text, Schaum’s 3000 SolvedProblems in Calculus is so complete it’s the perfect tool for graduateor professional exam review!Multi-Variable CalculusCALCULUS: MULTIVARIABLELate Transcendental FunctionsThird EditionBy Robert T. Smith, Millersville University, and Roland B. Minton,Roanoke College2008 (January 2007)ISBN: 978-0-07-331420-4Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easierto read than any other math book they’ve used. That testimony underscoresthe success of the authors’ approach which combines themost reliable aspects of mainstream Calculus teaching with the bestelements of reform, resulting in a motivating, challenging book. Smith/Minton wrote the book for the students who will use it, in a languagethat they understand, and with the expectation that their backgroundsmay have some gaps. Smith/Minton provide exceptional, reality-basedapplications that appeal to students’ interests and demonstrate theelegance of math in the world around us. New features include: •Many new exercises and examples (for a total of 7,000 exercisesand 1000 examples throughout the book) provide a careful balanceof routine, intermediate and challenging exercises • New exploratoryexercises in every section that challenge students to make connectionsto previous introduced material. • New commentaries (“BeyondFormulas”) that encourage students to think mathematically beyondthe procedures they learn. • New counterpoints to the historical notes,“Today in Mathematics,” stress the contemporary dynamism of mathematicalresearch and applications, connecting past contributions tothe present. • An enhanced discussion of differential equations andadditional applications of vector calculus. • Exceptional Media Resources:Within MathZone, instructors and students have access toa series of unique Conceptual Videos that help students understandkey Calculus concepts proven to be most difficult to comprehend, 248Interactive Applets that help students master concepts and proceduresand functions, 1600 algorithms , and 113 e-Professors.CONTENTSChapter 0: Preliminaries0.1 The Real Numbers and the Cartesian Plane0.2 Lines and Functions0.3 Graphing Calculators and Computer Algebra Systems0.4 Trigonometric Functions0.5 Transformations of FunctionsChapter 1: Limits and Continuity1.1 A Brief Preview of Calculus: Tangent Lines and the Length of aCurve1.2 The Concept of Limit1.3 Computation of Limits1.4 Continuity and its Consequences / The Method of Bisections1.5 Limits Involving Infinity / Asysmptotes1.6 The Formal Definition of the Limit1.7 Limits and Loss-of-Significance Errors / Computer Representationor Real NumbersChaper 2: Differentiation2.1 Tangent Lines and Velocity2.2 The Derivative / Alternative Derivative Notations / NumericalDifferentiation2.3 Computation of Derivatives: The Power Rule / Higher OrderDerivatives / Acceleration2.4 The Product and Quotient Rules2.5 The Chain Rule2.6 Derivatives of the Trigonometric Functions2.7 Implicit Differentiation2.8 The Mean Value TheoremChapter 3: Applications of Differentiation3.1 Linear Approximations and Newton’s Method3.2 Maximum and Minimum Values3.3 Increasing and Decreasing Functions3.4 Concavity and the Second Derivative Test3.5 Overview of Curve Sketching3.6Optimization3.8 Related Rates3.8 Rates of Change in Economics and the SciencesChapter 4: Integration4.1 Antiderivatives4.2 Sums and Sigma Notation / Principle of Mathematical Induction4.3 Area under a Curve4.4 The Definite Integral / Average Value of a Function4.5 The Fundamental Theorem of Calculus4.6 Integration by Substitution4.7 Numerical Integration / Error bounds for Numerical IntegrationChapter 5: Applications of the Definite Integral5.1 Area Between Curves5.2 Volume: Slicing, Disks, and Washers5.3 Volumes by Cylindrical Shells5.4 Arc Length and Srface Area5.5 Projectile Motion5.6 Applications of Integration to Physics and EngineeringChapter 6: Exponentials, Logarithms and other TranscendentalFunctions6.1 The Natural Logarithm6.2 Inverse Functions6.3 Exponentials6.4 The Inverse Trigonometric Functions6.5 The Calculus of the Inverse Trigonometric Functions6.6 The Hyperbolic FunctionChapter 7: First-Order Differential Equations7.1 Modeling with Differential Equations / Growth and Decay Problems/ Compound Interest7.2 Separable Differential Equations / Logistic Growth7.3 Direction Fields and Euler’s Method7.4 Systems of First-Order Differential Equations / Predator-PreySystems7.6 Indeterminate Forms and L’Hopital’s Rule / Improper Integrals /A Comparison Test7.8 ProbabilityChapter 8: First-Order Differential Equations8.1 modeling with Differential Equations / Growth and Decay Problems/ Compound Interest8.2 Separable Differential Equations / Logistic Growth74

CALCULUS8.3 Direction Fields and Euler’s Method / Systems of First OrderEquationsChapter 9: Infinite Series9.1 Sequences of Real Numbers9.2 Infinite Series9.3 The Integral Test and Comparison Tests9.4 Alternating Series / Estimating the Sum of an Alternating Series9.5 Absolute Convergence and the Ratio Test / The Root Test / Summaryof Convergence Test9.6 Power Series9.7 Taylor Series / Representations of Functions as Series / Proofof Taylor’s Theorem9.8 Applications of Taylor Series / The Binomial Series9.9 Fourier SeriesChapter 10: Parametric Equations and Polar Coordinates10.1 Plane Curves and Parametric Equations10.2 Calculus and Parametric Equations10.3 Arc Length and Surface Area in Parametric Equations10.4 Polar Coordinates10.5 Calculus and Polar Coordinates10.6 Conic Sections10.7 Conic Sections in Polar CoordinatesChapter 11: Vectors and the Geometry of Space11.1 Vectors in the Plane11.2 Vectors in Space11.3 The Dot Product / Components and Projections11.4 The Cross Product11.5 Lines and Planes in Space11.6 Surfaces in SpaceChapter 12: Vector-Valued Functions12.1 Vector-Valued Functions12.2 The Calculus Vector-Valued Functions12.3 Motion in Space12.4 Curvature12.5 Tangent and Normal Vectors / Components of Acceleration,Kepler’s Laws12.6 Parametric SurfacesChapter 13: Functions of Several Variables and Partial Differentiation13.1 Functions of Several Variables13.2 Limits and Continuity13.3 Partial Derivatives13.4 Tangent Planes and Linear Approximations / Increments andDifferentials13.5 The Chain Rule / Implicit Differentiation13.6 The Gradient and Directional Derivatives13.7 Extrema of Functions of Several Variables13.8 Constrained Optimization and Lagrange MultipliersChapter 14: Multiple Integrals14.1 Double Integrals14.2 Area, Volume, and Center of Mass14.3 Double Integrals in Polar Coordinates14.4 Surface Area14.5 Triple Integrals / Mass and Center of Mass14.6 Cylindrical Coordinates14.7 Spherical Coordinates14.8 Change of Variables in Multiple IntegralsChapter 15: Vector Calculus15.1 Vector Fields15.2 Line Integrals15.3 Independence of Path and Conservative Vector Fields15.4 Green’s Theorem15.5 Curl and Divergence15.6 Surface Integrals15.7 The Divergence Theorem15.8 Stokes’ Theorem15.9 Applications of Vector CalculusChapter 16: Second-Order Differential Equations16.1 Second-Order Equations with Constant Coefficients16.2 Nonhomogeneous Equations: Undetermined Coefficients16.3 Applications of Second-Order Differential Equations16.4 Power Series Solutions of Differential EquationsAppendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered ExercisesInternational EditionCALCULUS: MULTIVARIABLE:EARLY TRANSCENDENTAL FUNCTIONSThird EditionBy Robert T. Smith, Millersville University, and Roland B. Minton,Roanoke College2007 (February 2006) / HardcoverISBN: 978-0-07-330937-8ISBN: 978-0-07-321532-7 (with MathZone) - Out-of-PrintISBN: 978-0-07-110787-7 [IE with MathZone]Browse http://www.mhhe.com/smithmintonStudents who have used Smith/Minton’s Calculus say it was easierto read than any other math book they’ve used. That testimonyunderscores the success of the authors’ approach, which combinesthe best elements of reform with the most reliable aspects of mainstreamcalculus teaching, resulting in a motivating, challenging book.Smith/Minton also provide exceptional, reality-based applications thatappeal to students’ interests and demonstrate the elegance of mathin the world around us.CONTENTSChapter 0: Preliminaries0.1 Polynomials and Rational Functions0.2 Graphing Calculators and Computer Algebra Systems0.3 Inverse Functions0.4 Trigonometric and Inverse Trigonometric Functions0.5 Exponential and Logarithmic Functions. Hyperbolic Functions.Fitting a Curve to Data.0.6 Transformations of Functions.Chapter 1: Limits and Continuity1.1 A First Look at Calculus1.2 The Concept of Limit1.3 Computation of Limits1.4 Continuity and its Consequences. The Method of Bisections1.5 Limits Involving Infinity. Asymptotes.1.6 Formal Definition of the Limit. Exploring the Definition of LimitGraphically.1.7 Limits and Loss-of-Significance Errors. Computer Representationof Real Numbers.Chapter 2: Differentiation2.1 Tangent Lines and Velocity.2.2 The Derivative. Numerical Differentiation.2.3 Computation of Derivatives: The Power Rule. Higher Order DerivativesAcceleration2.4 The Product and Quotient Rules2.5 The Chain Rule2.6 Derivatives of the Trigonometric Functions2.7 Derivatives of the Exponential and Logarithmic Functions2.8 Implicit Differentiation and Inverse Trigonometric Functions2.9 The Mean Value TheoremChapter 3: Applications of Differentiation3.1 Linear Approximations and Newton’s Method3.2 Indeterminate Forms and L’Hopital’s Rule3.3 Maximum and Minimum Values3.4 Increasing and Decreasing Functions3.5 Concavity and the Second Derivative Test3.6 Overview of Curve Sketching3.7 Optimization3.8 Related Rates3.9 Rates of Change in Economics and the Sciences.Chapter 4: Integration4.1 Antiderivatives75

CALCULUS4.2 Sums and Sigma Notation. Principle of Mathematical Induction.4.3 Area4.4 The Definite Integral. Average Value of a Function4.5 The Fundamental Theorem of Calculus4.6 Integration by Substitution4.7 Numerical Integration. Error Bounds for Numerical Integration.4.8 The Natural Logarithm as an Integral. The Exponential Functionas the Inverse of the Natural Logarithm.Chapter 5: Applications of the Definite Integral5.1 Area Between Curves5.2 Volume: Slicing, Disks, and Washers5.3 Volumes by Cylindrical Shells5.4 Arc Length and Surface Area5.5 Projectile Motion5.6 Applications of Integration to Economics and the Sciences.5.7 ProbabilityChapter 6: Integration Techniques6.1 Review of Formulas and Techniques6.2 Integration by Parts6.3 Trigonometric Techniques of Integration. Integrals Involving Powersof Trigonometric Functions. Trigonometric Substitution6.4 Integration of Rational Functions Using Partial Fractions. GeneralStrategies for Integration Techniques6.5 Integration Tables and Computer Algebra Systems6.6 Improper Integrals. A Comparison Test.Chapter 7: First Order Differential Equations7.1 Growth and Decay Problems. Compound Interest. Modeling withDifferential Equations.7.2 Separable Differential Equations. Logistic Growth.7.3 Direction Fields and Euler’s Method7.4 Systems of First Order Differential Equations. Predator-PreySystemsChapter 8: Infinite Series8.1 Sequences of Real Numbers8.2 Infinite Series8.3 The Integral Test and Comparison Tests8.4 Alternating Series. Estimating the Sum of an Alternating Series8.5 Absolute Convergence and the Ratio Test. The Root Test. Summaryof Convergence Tests8.6 Power Series8.7 Taylor Series. Representations of Functions as Series. Proof ofTaylor’s Theorem8.8 Applications of Taylor Series. The Binomial Series8.9 Fourier Series.Chapter 9: Parametric Equations and Polar Coordinates9.1 Plane Curves and Parametric Equations9.2 Calculus and Parametric Equations9.3 Arc Length and Surface Area in Parametric Equations9.4 Polar Coordinates9.5 Calculus and Polar Coordinates9.6 Conic Sections9.7 Conic Sections in Polar Coordinates.Chapter 10: Vectors and the Geometry of Space10.1 Vectors in the Plane10.2 Vectors in Space10.3 The Dot Product. Components and Projections.10.4 The Cross Product10.5 Lines and Planes in Space10.6 Surfaces in SpaceChapter 11: Vector-Valued Functions11.1 Vector-Valued Functions11.2 The Calculus of Vector-Valued Functions11.3 Motion in Space11.4 Curvature11.5 Tangent and Normal Vectors. Tangential and Normal Componentsof Acceleration. Kepler’s Laws11.6 Parametric Surfaces.Chapter 12: Functions of Several Variables and Differentiation12.1 Functions of Several Variables12.2 Limits and Continuity12.3 Partial Derivatives12.4 Tangent Planes and Linear Approximations. Increments andDifferentials12.5 The Chain Rule12.6 The Gradient and Directional Derivatives12.7 Extrema of Functions of Several Variables12.8 Constrained Optimization and Lagrange MultipliersChapter 13: Multiple Integrals.13.1 Double Integrals.13.2 Area, Volume, and Center of Mass.13.3 Double Integrals in Polar Coordinates.13.4 Surface Area.13.5 Triple Integrals. Mass and Center of Mass.13.6 Cylindrical Coordinates.13.7 Spherical Coordinates13.8 Change of Variables in Multiple Integrals.Chapter 14: Vector Calculus14.1 Vector Fields14.2 Line Integrals14.3 Independence of Path and Conservative Vector Fields14.4 Green’s Theorem14.5 Curl and Divergence14.6 Surface Integrals14.7 The Divergence Theorem14.8 Stokes’ Theorem14.9 Applications of Vector Calculus.Chapter 15: Second Order Differential Equations15.1 Second-Order Equations with Constant Coefficients15.2 Nonhomogeneous Equations: Undetermined Coefficients15.3 Applications of Second Order Equations15.4 Power Series Solutions of Differential Equations.Appendix A: Proofs of Selected TheoremsAppendix B: Answers to Odd-Numbered ExercisesINVITATION TO PUBLISH<strong>McGraw</strong>-<strong>Hill</strong> is interested inreviewing textbook proposal forpublication. Please contact yourlocal <strong>McGraw</strong>-<strong>Hill</strong> office or email toasiapub@mcgraw-hill.comVisit <strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)Website: www.mheducation.asia76

HIGHERMATHEMATICSAbstract Algebra .................................................................................................95Advanced Engineering Mathematics ..................................................................89Advanced Geometry ...........................................................................................96Combinatorics.....................................................................................................87Complex Analysis ...............................................................................................96Differential Equations .........................................................................................79Differential Equations with Boundary Value Problems .......................................81Funcational Analysis ...........................................................................................99Graph Theory .....................................................................................................90History of Mathematics .......................................................................................92Introductory Analysis ..........................................................................................91Linear Algebra ....................................................................................................84Logic ...................................................................................................................88Mathematical References .................................................................................102Number Theory ...................................................................................................94Numerical Analysis .............................................................................................93Partial Differential Equations ..............................................................................82Real Analysis ....................................................................................................100Topology ...........................................................................................................101Transition to Higher Math/Foundations of Higher Math ......................................8377

NEW TITLESHIGHER MATHEMATICS2009 Author ISBN-13 PageComplex Variables and Applications, 8e Brown 9780073051949 96Introduction to Linear Algebra DeFranza 9780073532356 8478

HIGHER MATHEMATICSDifferential EquationsInternational EditionDIFFERENTIAL EQUATIONSTheory, Technique, and PracticeBy George F. Simmons, Colorado College, and Steven G. Krantz, WashingtonUniversity-St Louis2007 (December 2005) / 768 pages / HardcoverISBN: 978-0-07-286315-4ISBN: 978-0-07-125437-3 [IE]www.mhhe.com/simmonsThis traditional text is intended for mainstream one- or two-semesterdifferential equations courses taken by undergraduates majoring inengineering, mathematics, and the sciences. Written by two of theworld’s leading authorities on differential equations, Simmons/Krantzprovides a cogent and accessible introduction to ordinary differentialequations written in classical style. Its rich variety of modern applicationsin engineering, physics, and the applied sciences illuminate theconcepts and techniques that students will use through practice tosolve real-life problems in their careers. This text is part of the WalterRudin Student Series in Advanced Mathematics.CONTENTSPreface1 What is a Differential Equation?1.1 Introductory Remarks1.2 The Nature of Solutions1.3 Separable Equations1.4 First-Order Linear Equations1.5 Exact Equations1.6 Orthogonal Trajectories and Families of Curves1.7 Homogeneous Equations1.8 Integrating Factors1.9 Reduction of Order1.9.1 Dependent Variable Missing1.9.2 Independent Variable Missing1.10 The Hanging Chain and Pursuit Curves1.10.1 The Hanging Chain1.10.2 Pursuit Curves1.11 Electrical Circuits Anatomy of an Application: The Design of aDialysis Machine. Problems for Review and Discovery.2 Second-Order Equations2.1 Second-Order Linear Equations with Constant Coefficients2.2 The Method of Undetermined Coefficients2.3 The Method of Variation of Parameters2.4 The Use of a Known Solution to Find Another2.5 Vibrations and Oscillations2.5.1 Undamped Simple Harmonic Motion2.5.2 Damped Vibrations2.5.3 Forced Vibrations2.5.4 A Few Remarks About Electricity2.6 Newton’s Law of Gravitation and Kepler’s Laws2.6.1 Kepler’s Second Law2.6.2 Kepler’s First Law2.6.3 Kepler’s Third Law2.7 Higher Order Equations. Anatomy of an Application: BesselFunctions and the Vibrating Membrane. Problems for Review andDiscovery.3 Qualitative Properties and Theoretical Aspects3.0 Review of Linear Algebra3.0.1 Vector Spaces3.0.2 The Concept Linear Independence3.0.3 Bases3.0.4 Inner Product Spaces3.0.5 Linear Transformations and Matrices3.0.6 Eigenvalues and Eigenvectors3.1 A Bit of Theory3.2 Picard’s Existence and Uniqueness Theorem3.2.1 The Form of a Differential Equation3.2.2 Picard’s Iteration Technique3.2.3 Some Illustrative Examples3.2.4 Estimation of the Picard Iterates3.3 Oscillations and the Sturm Separation Theorem3.4 The Sturm Comparison Theorem. Anatomy of an Application: TheGreen’s Function. Problems for Review and Discovery.4 Power Series Solutions and Special Functions4.1 Introduction and Review of Power Series4.1.1 Review of Power Series.4.2 Series Solutions of First-Order Differential Equations.4.3 Second-Order Linear Equations: Ordinary Points.4.4 Regular Singular Points.4.5 More on Regular Singular Points.4.6 Gauss’s Hypergeometric Equation. Anatomy of an Application:Steady State Temperature in a Ball. Problems for Review and Discovery.5 Fourier Series: Basic Concepts.5.1 Fourier Coefficients.5.2 Some Remarks about Convergence.5.3 Even and Odd Functions: Cosine and Sine Series.5.4 Fourier Series on Arbitrary Intervals.5.5 Orthogonal Functions. Anatomy of an Application: Introduction tothe Fourier Transform. Problems for Review and Discovery.6 Partial Differential Equations and Boundary Value Problems.6.1 Introduction and Historical Remarks.6.2 Eigenvalues, Eigenfunctions, and the Vibrating String.6.2.1 Boundary Value Problems.6.2.2 Derivation of the Wave Equation.6.2.3 Solution of the Wave Equation.6.3 The Heat Equation.6.4 The Dirichlet Problem for a Disc.6.4.1 The Poisson Integral6.5 Sturm-Liouville Problems. Anatomy of an Application: Some Ideasfrom Quantum Mechanics. Problems for Review and Discovery.7 Laplace Transforms.7.0 Introduction7.1 Applications to Differential Equations7.2 Derivatives and Integrals of Laplace Transforms7.3 Convolutions7.4 The Unit Step and Impulse Functions. Anatomy of an Application:Flow Initiated by an Impulsively-Started Flat Plate. Problemsfor Review and Discovery.8 The Calculus of Variations8.1 Introductory Remarks.8.2 Euler’s Equation.8.3 Isoperimetric Problems and the Like.8.3.1 Lagrange Multipliers8.3.2 Integral Side Conditions.8.3.3 Finite Side Conditions. Anatomy of an Application: Hamilton’sPrinciple and its Implications. Problems for Review and Discovery.9 Numerical Methods.9.1 Introductory Remarks.9.2 The Method of Euler.9.3 The Error Term.9.4 An Improved Euler Method9.5 The Runge-Kutta Method. Anatomy of an Application: A ConstantPerturbation Method for Linear, Second-Order Equations.Problems for Review and Discovery.10 Systems of First-Order Equations10.1 Introductory Remarks.10.2 Linear Systems10.3 Homogeneous Linear Systems with Constant Coefficients10.4 Nonlinear Systems: Volterra’s Predator-Prey Equations.Anatomy of an Application: Solution of Systems with Matrices andExponentials. Problems for Review and Discovery.11 The Nonlinear Theory.11.1 Some Motivating Examples11.2 Specializing Down11.3 Types of Critical Points: Stability79

HIGHER MATHEMATICS11.4 Critical Points and Stability for Linear Systems11.5 Stability by Liapunov’s Direct Method11.6 Simple Critical Points of Nonlinear Systems11.7 Nonlinear Mechanics: Conservative Systems11.8 Periodic Solutions: The Poincaré-Bendixson Theorem. Anatomyof an Application: Mechanical Analysis of a Block on a Spring. Problemsfor Review and Discovery.12 Dynamical Systems12.1 Flows12.1.1 Dynamical Systems12.1.2 Stable and Unstable Fixed Points12.1.3 Linear Dynamics in the Plane12.2 Some Ideas from Topology12.2.1 Open and Closed Sets12.2.2 The Idea of Connectedness12.2.3 Closed Curves in the Plane12.3 Planar Autonomous Systems12.3.1 Ingredients of the Proof of Poincaré-Bendixson. Anatomyof an Application: Lagrange’s Equations. Problems for Review andDiscovery. BibliographyDIFFERENTIAL EQUATIONSBy Keng Cheng Ang2005 (October 2005)ISBN-13: 978-0-07-125085-6 / MHID: 0-07-125085-9An Asian PublicationMany books on differential equations assume that the reader has afairly sophisticated level of competence in calculus at the universitylevel. Differential Equations: Models and Methods differs from themin that it enables a student with some basic knowledge of calculus tolearn about differential equations and appreciate their applications.The focus of the book is on fi rst order differential equations, theirmethods of solution and their use in mathematical models. Methodsinclude analytic and graphical solutions, as well as numerical techniques.Readers will not only learn the necessary techniques of solvingfi rst order differential equations, but also how these equations can beapplied in different fi elds. Examples have been carefully chosen toprovide motivation for new concepts or techniques, and to illustratethe importance of differential equations. This book was written withstudent needs in mind; in particular, pre-university students takingthe new GCE ‘A’ Level H3 Mathematics will fi nd it useful in helpingthem through the course.CONTENTSPreface1. Basic Concepts2. Analytic Solutions3. Graphical Techniques4. Numerical Methods5. Mathematical Models6. Further ApplicationsFurther ReadingAppendix A: Table of IntegralsAppendix B: Method of Least SquaresAnswers to Odd-numbered ProblemsIndexInternational EditionDIFFERENTIAL EQUATIONSA Modeling ApproachBy Glenn Ledder, University of Nebraska—Lincoln2005 / 768 pagesISBN: 978-0-07-242229-0 (Out-of-Print)ISBN: 978-0-07-111151-5 [IE]www.mhhe.com/ledderCONTENTS1 Introduction:1.1 Natural Decay and Natural Growth.1.2 Differential Equations and Solutions.1.3 Mathematical Models and Mathematical Modeling. Case Study 1Scientific Detection of Art Forgery.2 Basic Concepts and Techniques:2.1 A Collection of Mathematical Models.2.2 Separable First-Order Equations.2.3 Slope Fields.2.4 Existence of Unique Solutions.2.5 Euler’s Method.2.6 Runge-Kutta Methods. Case Study 2 A Successful VolleyballServe.3 Homogeneous Linear Equations.3.1 Linear Oscillators.3.2 Systems of Linear Algebraic Equations.3.3 Theory of Homogeneous Linear Equations.3.4 Homogeneous Equations with Constant Coefficients.3.5 Real Solutions from Complex Characteristic Values.3.6 Multiple Solutions for Repeated Characteristic Values.3.7 Some Other Homogeneous Linear Equations. Case Study 3 HowLong Should Jellyfish Hold their Food?4 Nonhomogeneous Linear Equations:4.1 More on Linear Oscillator Models.4.2 General Solutions for Nonhomogeneous Equations.4.3 The Method of Undetermined Coefficients.4.4 Forced Linear Oscillators.4.5 Solving First-Order Linear Equations.4.6 Particular Solutions for Second-Order Equations by Variation ofParameters. Case Study 4 A Tuning Circuit for a Radio.5 Autonomous Equations and Systems:5.1 Population Models.5.2 The Phase Line.5.3 The Phase Plane.5.4 The Direction Field and Critical Points.5.5 Qualitative Analysis. Case Study 5 A Self-Limiting Population.6 Analytical Methods for Systems:6.1 Compartment Models.6.2 Eigenvalues and Eigenspaces.6.3 Linear Trajectories.6.4 Homogeneous Systems with Real Eigenvalues.6.5 Homogeneous Systems with Complex Eigenvalues.6.6 Additional Solutions for Deficient Matrices.6.7 Qualitative Behavior of Nonlinear Systems. Case Study 6 Invasionby Disease.7 The Laplace Transform:7.1 Piecewise-Continuous Functions.7.2 Definition and Properties of the Laplace Transform.7.3 Solution of Initial-Value Problems with the Laplace Transform.7.4 Piecewise-Continuous and Impulsive Forcing.7.5 Convolution and the Impulse Response Function. Case Study 7Growth of a Structured Population.8 Vibrating Strings: A Focused Introduction to Partial DifferentialEquations:8.1 Transverse Vibration of a String.8.2 The General Solution of the Wave Equation.8.3 Vibration Modes of a Finite String.8.4 Motion of a Plucked String.8.5 Fourier Series. Case Study 8 Stringed Instruments and Percus-80

HIGHER MATHEMATICSsion.A Some Additional Topics:A.1 Using Integrating Factors to Solve First-Order Linear Equations(Chapter 2).A.2 Proof of the Existence and Uniqueness Theorem for First-OrderEquations (Chapter 2).A.3 Error in Numerical Methods (Chapter 2).A.4 Power Series Solutions (Chapter 3).A.5 Matrix Functions (Chapter 6).A.6 Nonhomogeneous Linear Systems (Chapter 6).A.7 The One-Dimensional Heat Equation (Chapter 8).A.8 Laplace’s Equation (Chapter 8)International EditionDIFFERENTIAL EQUATIONS WITHAPPLICATIONS AND HISTORICAL NOTESSecond EditionBy George F. Simmons, Colorado College1991 / 640 pagesISBN: 978-0-07-057540-0 (Out-of-Print)ISBN: 978-0-07-112807-0 [IE]CONTENTS1 The Nature of Differential Equations.2 First Order Equations.3 Second Order Linear Equations.4 Qualitative Properties of Solutions.5 Power Series Solutions and Special Functions.6 Fourier Series and Orthogonal Functions.7 Partial Differential Equations and Boundary Value Problems.8 Some Special Functions of Mathematical Physics.9 Laplace Transforms.10 Systems of First Order Equations.11 Nonlinear Equations.12 The Calculus of Variations.13 The Existence and Uniqueness of Solutions.14 Numerical Methods.SCHAUM’S OUTLINE OF DIFFERENTIALEQUATIONSThird EditionBy Richard Bronson, Fairleigh Dickinson University-Madison and GabrielCosta, US Military Academy2006 / 384 pagesISBN: 978-0-07-145687-6A Schaum’s PublicationThoroughly updated, this third edition of Schaum’s Outline of DifferentialEquations offers you new, faster techniques for solving differentialequations generated by the emergence of high-speed computers.Differential equations, a linchpin of modern math, are essential in engineering,the natural sciences, economics, and business. Includes:•••563 fully solved problems800-plus supplementary problemsNew chapter on modelingDifferential Equationswith BoundaryValue ProblemsInternational EditionDIFFERENTIAL EQUATIONSTheory, Technique, and PracticeBy George F. Simmons, Colorado College, and Steven G. Krantz, WashingtonUniversity-St Louis2007 (December 2005) / 768 pages / HardcoverISBN: 978-0-07-286315-4 (Out-of-Print)ISBN: 978-0-07-125437-3 [IE]www.mhhe.com/simmonsThis traditional text is intended for mainstream one- or two-semesterdifferential equations courses taken by undergraduates majoring inengineering, mathematics, and the sciences. Written by two of theworld’s leading authorities on differential equations, Simmons/Krantzprovides a cogent and accessible introduction to ordinary differentialequations written in classical style. Its rich variety of modern applicationsin engineering, physics, and the applied sciences illuminate theconcepts and techniques that students will use through practice tosolve real-life problems in their careers. This text is part of the WalterRudin Student Series in Advanced Mathematics.CONTENTSPreface1 What is a Differential Equation?1.1 Introductory Remarks1.2 The Nature of Solutions1.3 Separable Equations1.4 First-Order Linear Equations1.5 Exact Equations1.6 Orthogonal Trajectories and Families of Curves1.7 Homogeneous Equations1.8 Integrating Factors1.9 Reduction of Order1.9.1 Dependent Variable Missing1.9.2 Independent Variable Missing1.10 The Hanging Chain and Pursuit Curves1.10.1 The Hanging Chain1.10.2 Pursuit Curves1.11 Electrical Circuits Anatomy of an Application: The Design of aDialysis Machine. Problems for Review and Discovery.2 Second-Order Equations2.1 Second-Order Linear Equations with Constant Coefficients2.2 The Method of Undetermined Coefficients2.3 The Method of Variation of Parameters2.4 The Use of a Known Solution to Find Another2.5 Vibrations and Oscillations2.5.1 Undamped Simple Harmonic Motion2.5.2 Damped Vibrations2.5.3 Forced Vibrations2.5.4 A Few Remarks About Electricity2.6 Newton’s Law of Gravitation and Kepler’s Laws2.6.1 Kepler’s Second Law2.6.2 Kepler’s First Law2.6.3 Kepler’s Third Law2.7 Higher Order Equations. Anatomy of an Application: BesselFunctions and the Vibrating Membrane. Problems for Review andDiscovery.3 Qualitative Properties and Theoretical Aspects3.0 Review of Linear Algebra3.0.1 Vector Spaces3.0.2 The Concept Linear Independence81

HIGHER MATHEMATICS3.0.3 Bases3.0.4 Inner Product Spaces3.0.5 Linear Transformations and Matrices3.0.6 Eigenvalues and Eigenvectors3.1 A Bit of Theory3.2 Picard’s Existence and Uniqueness Theorem3.2.1 The Form of a Differential Equation3.2.2 Picard’s Iteration Technique3.2.3 Some Illustrative Examples3.2.4 Estimation of the Picard Iterates3.3 Oscillations and the Sturm Separation Theorem3.4 The Sturm Comparison Theorem. Anatomy of an Application: TheGreen’s Function. Problems for Review and Discovery.4 Power Series Solutions and Special Functions4.1 Introduction and Review of Power Series4.1.1 Review of Power Series.4.2 Series Solutions of First-Order Differential Equations.4.3 Second-Order Linear Equations: Ordinary Points.4.4 Regular Singular Points.4.5 More on Regular Singular Points.4.6 Gauss’s Hypergeometric Equation. Anatomy of an Application:Steady State Temperature in a Ball. Problems for Review and Discovery.5 Fourier Series: Basic Concepts.5.1 Fourier Coefficients.5.2 Some Remarks about Convergence.5.3 Even and Odd Functions: Cosine and Sine Series.5.4 Fourier Series on Arbitrary Intervals.5.5 Orthogonal Functions. Anatomy of an Application: Introduction tothe Fourier Transform. Problems for Review and Discovery.6 Partial Differential Equations and Boundary Value Problems.6.1 Introduction and Historical Remarks.6.2 Eigenvalues, Eigenfunctions, and the Vibrating String.6.2.1 Boundary Value Problems.6.2.2 Derivation of the Wave Equation.6.2.3 Solution of the Wave Equation.6.3 The Heat Equation.6.4 The Dirichlet Problem for a Disc.6.4.1 The Poisson Integral6.5 Sturm-Liouville Problems. Anatomy of an Application: Some Ideasfrom Quantum Mechanics. Problems for Review and Discovery.7 Laplace Transforms.7.0 Introduction7.1 Applications to Differential Equations7.2 Derivatives and Integrals of Laplace Transforms7.3 Convolutions7.4 The Unit Step and Impulse Functions. Anatomy of an Application:Flow Initiated by an Impulsively-Started Flat Plate. Problemsfor Review and Discovery.8 The Calculus of Variations8.1 Introductory Remarks.8.2 Euler’s Equation.8.3 Isoperimetric Problems and the Like.8.3.1 Lagrange Multipliers8.3.2 Integral Side Conditions.8.3.3 Finite Side Conditions. Anatomy of an Application: Hamilton’sPrinciple and its Implications. Problems for Review and Discovery.9 Numerical Methods.9.1 Introductory Remarks.9.2 The Method of Euler.9.3 The Error Term.9.4 An Improved Euler Method9.5 The Runge-Kutta Method. Anatomy of an Application: A ConstantPerturbation Method for Linear, Second-Order Equations.Problems for Review and Discovery.10 Systems of First-Order Equations10.1 Introductory Remarks.10.2 Linear Systems10.3 Homogeneous Linear Systems with Constant Coefficients10.4 Nonlinear Systems: Volterra’s Predator-Prey Equations.Anatomy of an Application: Solution of Systems with Matrices andExponentials. Problems for Review and Discovery.11 The Nonlinear Theory.11.1 Some Motivating Examples11.2 Specializing Down11.3 Types of Critical Points: Stability11.4 Critical Points and Stability for Linear Systems11.5 Stability by Liapunov’s Direct Method11.6 Simple Critical Points of Nonlinear Systems11.7 Nonlinear Mechanics: Conservative Systems11.8 Periodic Solutions: The Poincaré-Bendixson Theorem. Anatomyof an Application: Mechanical Analysis of a Block on a Spring. Problemsfor Review and Discovery.12 Dynamical Systems12.1 Flows12.1.1 Dynamical Systems12.1.2 Stable and Unstable Fixed Points12.1.3 Linear Dynamics in the Plane12.2 Some Ideas from Topology12.2.1 Open and Closed Sets12.2.2 The Idea of Connectedness12.2.3 Closed Curves in the Plane12.3 Planar Autonomous Systems12.3.1 Ingredients of the Proof of Poincaré-Bendixson. Anatomyof an Application: Lagrange’s Equations. Problems for Review andDiscovery. BibliographyPartial DifferentialEquationsInternational EditionFOURIER SERIES AND BOUNDARY VALUEPROBLEMSSeventh EditionBy James Ward Brown, University of Michigan-Dearborn and RuelChurchill (deceased)2008 (August 2006) / 384 pagesISBN: 978-0-07-305193-2ISBN: 978-0-07-125917-0 [IE]Published by <strong>McGraw</strong>-<strong>Hill</strong> since its first edition in 1941, this classic textis an introduction to Fourier series and their applications to boundaryvalue problems in partial differential equations of engineering andphysics. It will primarily be used by students with a background inordinary differential equations and advanced calculus. There are twomain objectives of this text. The fi rst is to introduce the concept oforthogonal sets of functions and representations of arbitrary functionsin series of functions from such sets. The second is a clear presentationof the classical method of separation of variables used in solvingboundary value problems with the aid of those representations.CONTENTSPreface1 Fourier Series2 Convergence of Fourier Series3 Partial Differential Equations of Physics4 The Fourier Method5 Boundary Value Problems6 Fourier Integrals and Applications7 Orthonormal Sets8 Sturm-Liouville Problems and Applications9 Bessel Functions and Applications10 Legendre Polynomials and Applications11 Verification of Solutions and Uniqueness82

HIGHER MATHEMATICSAppendixesBibliographySome Fourier Series ExpansionsSolutions of Some Regular Sturm-Liouville ProblemsIndexSCHAUM’S OUTLINE OF PARTIALDIFFERENTIAL EQUATIONSBy Paul DuChateau, Colorado State University and D W Zachmann,Colorado State University1986 / 256 pagesISBN: 978-0-07-017897-7A Schaum’s PublicationCONTENTSIntroduction.Classification and Characteristics.Qualitative Behavior of Solutions to Elliptic Equations.Qualitative Behavior of Solutions to Evolution Equations.First-Order Equations Eigenfunction Expansions and Integral Transforms:Theory.Eigenfunction Expansions and Integral Transforms: Applications.Green’s Functions.Difference Methods for Parabolic Equations.Difference and Characteristic Methods for Parabolic Equations.Difference Methods for Hyperbolic Equations.Difference Methods for Elliptic Equations.Variational Formulation of Boundary Value Problems.The Finite Element Method: An Introduction.Answers to Supplementary Problems.Transition to Higher Math/Foundations of HigherMathInternational EditionTRANSITION TO HIGHER MATHEMATICSStructure and ProofBy Bob A. Dumas, University Of Washington, and John E. McCarthy,Washington University-St Louis2007 (February 2006) / 416 pages / HardcoverISBN: 978-0-07-353353-7ISBN: 978-0-07-110647-4 [IE]This text is intended for the Foundations of Higher Math bridge coursetaken by prospective math majors following completion of the mainstreamCalculus sequence, and is designed to help students developthe abstract mathematical thinking skills necessary for success in laterupper-level majors math courses. As lower-level courses such asCalculus rely more exclusively on computational problems to servicestudents in the sciences and engineering, math majors increasinglyneed clearer guidance and more rigorous practice in proof techniqueto adequately prepare themselves for the advanced math curriculum.With their friendly writing style Bob Dumas and John McCarthy teachstudents how to organize and structure their mathematical thoughts,how to read and manipulate abstract defi nitions, and how to prove orrefute proofs by effectively evaluating them. Its wealth of exercisesgive students the practice they need, and its rich array of topics giveinstructors the fl exibility they desire to cater coverage to the needs oftheir school’s majors curriculum. This text is part of the Walter RudinStudent Series in Advanced Mathematics.CONTENTSChapter 0. Introduction.0.1. Why this book is0.2. What this book is0.3. What this book is not0.4. Advice to the Student0.5. Advice to the Teacher0.6. AcknowledgementsChapter 1. Preliminaries1.1. “And” “Or”1.2. Sets1.3. Functions1.4. Injections, Surjections, Bijections1.5. Images and Inverses1.6. Sequences1.7. Russell’s Paradox1.8. ExercisesChapter 2. Relations2.1. Definitions2.2. Orderings2.3. Equivalence Relations2.4. Constructing Bijections2.5. Modular Arithmetic2.6. ExercisesChapter 3. Proofs3.1. Mathematics and Proofs3.2. Propositional Logic3.3. Formulas3.4. Quantifiers3.5. Proof Strategies3.6. Exercises.Chapter 4. Principle of Induction4.1. Well-orderings4.2. Principle of Induction4.3. Polynomials4.4. Arithmetic-Geometric Inequality4.5. ExercisesChapter 5. Limits5.1. Limits5.2. Continuity5.3. Sequences of Functions5.4. ExercisesChapter 6. Cardinality6.1. Cardinality6.2. Infinite Sets6.3. Uncountable Sets6.4. Countable Sets6.5. Functions and Computability6.6. Exercises.Chapter 7. Divisibility7.1. Fundamental Theorem of Arithmetic7.2. The Division Algorithm7.3. Euclidean Algorithm7.4. Fermat’s Little Theorem7.5. Divisibility and Polynomials7.6. ExercisesChapter 8. The Real Numbers.8.1. The Natural Numbers8.2. The Integers8.3. The Rational Numbers8.4. The Real Numbers8.5. The Least Upper Bound Principle8.6. Real Sequences8.7. Ratio Test8.8. Real Functions8.9. Cardinality of the Real Numbers8.10. ExercisesChapter 9. Complex Numbers83

HIGHER MATHEMATICS9.1. Cubics9.2. Complex Numbers9.3. Tartaglia-Cardano Revisited9.4. Fundamental Theorem of Algebra9.5. Application to Real Polynomials9.6. Further remarks9.7. ExercisesAppendix A. The Greek AlphabetAppendix B. Axioms of Zermelo-Fraenkel with the Axiom of ChoiceAppendix C. Hints to get started on early exercises.Bibliography.IndexNewLinear AlgebraInternational EditionINTRODUCTION TO LINEARALGEBRAJames DeFranza, St. Lawrence-Lewis Boces,Daniel Gagliardi and Suny Canton2009 / Hardcover / 416 pagesISBN: 978-0-07-353235-6ISBN: 978-0-07-128531-5 [IE]www.mhhe.com/defranzaLinear Algebra with Applications is an introductory text targeted tosecond or advanced fi rst year undergraduates in engineering ormathematics. The organization of this text is motivated by the authors’experience which tells them what essential concepts should be masteredby students in a one semester undergraduate Linear Algebracourse. The authors’ main objectives are to fully develop each topicbefore moving on and to connect topics naturally. The authors takegreat care to meet both these objectives, because this organizationwill allow instructors teaching from this text to stay on task so thateach topic can be covered with the depth required before progressingto the next logical one. As a result the reader is prepared for eachnew unit and there is no need to repeat a concept in a subsequentchapter when it is utilized. This text is geared towards an introductorylinear algebra course taken by fi rst or second year undergraduatestudents. However, it offers the opportunity to introduce the importanceof abstraction, not only in mathematics, but in many other areaswhere Linear Algebra is used. The textbook’s approach is to takeadvantage of this opportunity by presenting abstract vector spacesas early as possible. Throughout the text, the authors are mindful ofthe diffi culties that students at this level have with abstraction andintroduce new concepts first through examples which gently illustratethe idea. To motivate the definition of an abstract vector space, and thesubtle concept of linear independence, the authors use addition andscalar multiplication of vectors in Euclidean Space. The authors havestrived to create a balance between computation, problem solving,and abstraction. This approach equips students with the necessaryskills and problem solving strategies in an abstract setting that allowsfor a greater understanding and appreciation for the numerous applicationsof the subject.FEATURESBalanced Presentation of Theory & ApplicationsEach topic is fully developed. Applications are fully developed and contained in separate sections.No vague references to mysterious applications. Applicationshave been carefully chosen to highlight the utility of Linear Algebra. Good exercises that are organized with routine exercises at thebeginning and the more difficult problems towards the end. There isa mix of computational and theoretical exercises with some requiringproof. Chapter tests are also featured as are True/False questions tohelp students tie together important concepts. Length: The length of the book reflects the fact that it is specificallydesigned for a one semester course in Linear Algebra at theundergraduate level.Technology Friendly Fact Summaries & Natural Conncetion Between Topics. A summaryof the main idea is included at the end of each section. Theseare written in non-technical language and whenever possible withoutthe use of jargon.In-depth Topical Coverage Chapter Openers. Provides the necessary links from topic totopic to develop comprehensive understanding. A complete book that students can read independently fromstart to finish.CONTENTSIntroduction to Linear Algebra, Defranza & GigliardiChapter 1 Systems of Linear Equations and Matrices 1--1.1 Systems of Linear EquationsExercise Set 1.1--1.2 Matrices and Elementary Row OperationsExercise Set 1.2--1.3 Matrix AlgebraExercise Set 1.3--1.4 The Inverse of a Square MatrixExercise Set 1.4--1.5 Matrix EquationsExercise Set 1.5--1.6 DeterminantsExercise Set 1.6--1.7 Elementary Matrices and LU FactorizationExercise Set 1.7--1.8 Applications of Systems of Linear EquatioExercise Set 1.8Review ExercisesChapter TestChapter 2 Linear Combinations and Linear Independence--2.1 Vectors in RnExercise Set 2.1--2.2 Linear CombinationsExercise Set 2.2--2.3 Linear IndependenceExercise Set 2.3Review ExercisesChapter TestChapter 3 Vector Spaces--3.1 Definition of a Vector SpaceExercise Set 3.1--3.2 SubspacesExercise Set 3.2--3.3 Basis and DimensionExercise Set 3.3--3.4 Coordinates and Change of BasisExercise Set 3.4--3.5 Application : Differential Equations84

HIGHER MATHEMATICSExercise Set 3.5Review ExercisesChapter TestChapter 4 Linear Transformations--4.1 Linear TransformationsExercise Set 4.1--4.2 The Null Space and RangeExercise Set 4.2--4.3 IsomorphismsExercise Set 4.3--4.4 Matrix Representation of a Linear TransformationExercise Set 4.4--4.5 SimilarityExercise Set 4.5--4.6 Application : Computer GraphicsExercise Set 4.6Review ExercisesChapter TestChapter 5 Eigenvalues and Eigenvectors--5.1 Eigenvalues and EigenvectorsExercise Set 5.1--5.2 DiagonalizationExercise Set 5.2--5.3 Application : Systems of Linear DifferentExercise Set 5.3--5.4 Application : Markov ChainsExercise Set 5.4Review ExercisesChapter TestChapter 6 Inner Product Spaces--6.1 The Dot Product on RnExercise Set 6.1--6.2 Inner Product SpacesExercise Set 6.2--6.3 Orthonormal BasesExercise Set 6.3--6.4 Orthogonal ComplementsExercise Set 6.4--6.5 Application : Least Squares ApproximationExercise Set 6.5--6.6 Diagonalization of Symmetric MatricesExercise Set 6.6--6.7 Application : Quadratic FormsExercise Set 6.7--6.8 Application : Singular Value DecompositionExercise Set 6.8Review ExercisesChapter TestA PreliminariesA.1 Algebra of SetsExercise Set A.1A.2 FunctionsExercise Set A.2A.3 Techniques of ProofExercise Set A.3A.4 Mathematical InductionExercise Set A.4Answers to Odd-Numbered ExercisesA.3 Techniques of ProofExercise Set A.3A.4 Mathematical InductionExercise Set A.4Answers to Odd-Numbered ExercisesInternational EditionLINEAR ALGEBRA WITH APPLICATIONSFifth EditionBy Keith Nicholson, University of Calgary2006 (January 2006) / 512 pagesISBN: 978-0-07-092277-8ISBN: 978-0-07-125353-6 [IE]<strong>McGraw</strong>-<strong>Hill</strong> Canada Titlewww.mcgraw-hill.ca/college/nicholsonCONTENTSChapter 1 Systems of Linear Equations1.1 Solutions and Elementary Operations1.2 Gaussian Elimination1.3 Homogeneous Equations1.4 An Application to Network Flow1.5 An Application to Electrical Networks1.6 An Application to Chemical Reactions Supplementary Exercisesfor Chapter 1Chapter 2 Matrix Algebra2.1 Matrix Addition, Scalar Multiplication, and Transposition2.2 Matrix Multiplication2.3 Matrix Inverses2.4 Elementary Matrices2.5 Matrix Transformations2.6 LU-Factorization2.7 An Application to Input-Output Economic Models2.8 An Application to Markov Chains Supplementary Exercises forChapter 2Chapter 3 Determinants and Diagonalization3.1 The Cofactor Expansion3.2 Determinants and Matrix Inverses3.3 Diagonalization and Eigenvalues3.5 An Application to Linear Recurrences3.6 An Application to Population Growth3.7 Proof of the Cofactor Expansion Supplementary Exercises forChapter 3Chapter 4 Vector Geometry4.1 Vectors and Lines4.2 Projections and Planes4.3 The Cross Product4.4 Matrix Transformations II4.5 An Application to Computer Graphics Supplementary Exercisesfor Chapter 4Chapter 5 The Vector Space Rn5.1 Subspaces and Spanning5.2 Independence and Dimension5.3 Orthogonality5.4 Rank of a Matrix5.5 Similarity and Diagonalization5.6 An Application to Correlation and Variance5.7 An Application to Least Squares Approximation SupplementaryExercises for Chapter 5Chapter 6 Vector Spaces6.1 Examples and Basic Properties6.2 Subspaces and Spanning Sets6.3 Linear Independence and Dimension6.4 Finite Dimensional Spaces6.5 An Application to Polynomials6.6 An Application to Differential Equations Supplementary Exercisesfor Chapter 6Chapter 7 Linear Transformations7.1 Examples and Elementary Properties7.2 Kernel and Image of a Linear Transformation7.3 Isomorphisms and Composition7.4 More on Linear RecurrencesChapter 8 Orthogonality8.1 Orthogonal Complements and Projections8.2 Orthogonal Diagonalization85

HIGHER MATHEMATICS8.3 Positive Definite Matrices8.4 QR-Factorization8.5 Computing Eigenvalues8.6 Complex Matrices8.7 Best Approximation and Least Squares8.8 Finite Fields and Linear Codes8.9 An Application to Quadratic Forms8.10 An Application to Systems of Differential EquationsChapter 9 Change of Basis9.1 The Matrix of a Linear Transformation9.2 Operators and Similarity9.3 Invariant Subspaces and Direct Sums9.4 Block Triangular Form*9.5 Jordan Canonical FormChapter 10 Inner Product Spaces10.1 Inner Products and Norms10.2 Orthogonal Sets of Vectors10.3 Orthogonal Diagonalization10.4 Isometries10.5 An Application to Fourier ApproximationInternational EditionELEMENTARY LINEAR ALGEBRASecond EditionBy Keith Nicholson, University of Calgary2004 / 608 pages / softcoverISBN: 978-0-07-091142-0ISBN: 978-0-07-123439-9 [IE]<strong>McGraw</strong>-<strong>Hill</strong> Canada Titlewww.mcgraw-hill.ca/college/nicholsonCONTENTSChapter 1 Linear Equations and Matrices:Matrices.Linear Equations.Homogeneous Systems.Matrix Multiplication.Matrix Inverses.Elementary Matrices.Lu-Factorization.Application ot Markov Chains.Chapter 2 Determinants and Eigenvalues:Cofactor Expansions.Determinants and Inversees.Diagonalization and Eigenvalues.Linear Dynamical Systems.Complex Eignevalues.Linear Recurrences.Polynomial Interpolation.Systems of Differential Equations.Chapter 3 Vector Geometry:Geometric Vectors.Dot Product and Projections.Lines and Planes.Matrix Transformation of R^2.The Cross Product:Optional.Chapter 4 The Vector Space R^n.Subspaces and Spanning.Linear Independence.Dimension.Rank.Orthogonality.Projections and Approximation.Orthogonal Diagonalization.Quadratic Forms.Linear Transformations.Complex Matrices.Singular Value Decomposition.Chapter 5 Vector Spaces:Examples and Basic Properties.Independence and Dimension.Linear Transformations.Isomorphisms and Matrices.Linear Operations and Similarity.Invariant Subspaces.General Inner Products.Appendix:A.1 Basic Trigonometry.A.2 Induction.A.3 PolynomialsSCHAUM’S OUTLINE OF LINEAR ALGEBRAFourth EditionBy Seymour Lipschutz, Temple University-Philadelphia and Marc Lipson,University of Georgia2009 (July 2008) / 480 pagesISBN: 978-0-07-154352-1A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latestcourse scope and sequence. The ideal review for hundreds ofthousands of college and high school students who enroll in linearalgebra courses.CONTENTS1. Vectors in R and C, Spatial Vectors2. Algebra of Matrices3. Systems of Linear Equations4. Vector Spaces5. Linear Mappings6. Linear Mappings and Matrices7. Inner Product Spaces, Orthogonality8. Determinants9. Diagonalization: Eigenvalues and Eigenvectors10. Canonical Forms11. Linear Functionals and the Dual Space12. Bilinear, Quadratic, and Hermitian Forms13. Linear Operators on Inner Product Spaces14. Multilinear ProductsSCHAUM’S EASY OUTLINES: LINEARALGEBRABy Seymour Lipschutz, Temple University - Philadelphia Marc Lipson,University of Georgia2003ISBN: 978-0-07-139880-0A Schaum’s PublicationWhat could be better than the bestselling Schaum’s Outline series?For students looking for a quick nuts-and-bolts overview, it would haveto be Schaum’s Easy Outline series. Every book in this series is apared-down, simplifi ed, and tightly focused version of its predecessor.With an emphasis on clarity and brevity, each new title featuresa streamlined and updated formatº and the absolute essence of thesubject, presented in a concise and readily understandable form.Graphic elements such as sidebars, reader-alert icons, and boxedhighlights stress selected points from the text, illuminate keys to learning,and give students quick pointers to the essentials.86

HIGHER MATHEMATICSSCHAUM’S 3,000 SOLVED PROBLEMS INLINEAR ALGEBRABy Seymour Lipschultz, Temple University1989 / 496 pagesISBN: 978-0-07-038023-3A Schaum’s PublicationCONTENTSVectors in R and C.Matrix Algebra.Systems of Linear Equations.Square Matrices.Determinants.Algebraic Structures.Vector Spaces and Subspaces.Linear Dependence, Basis, Dimension.Mappings.Linear Mappings.Spaces of Linear Mappings.Matrices and Linear Mappings.Change of Basis, Similarity.Inner Product Spaces, Orthogonality.Polynomials Over a Field.Eigenvalues and Eigenvectors.Diagonalization.Canonical Forms.Linear Functional and the Dual Space.Bilinear, Quadratic, and Hermitian Forms.Linear Operators on Inner Product Spaces.Applications to Geometry and Calculus.CombinatoricsInternational EditionINTRODUCTION TO ENUMERATIVECOMBINATORICSBy Miklos Bona, University Of Florida @ Gainesville2007 (September 2005) / 533 pages / HardcoverISBN: 978-0-07-312561-9ISBN: 978-0-07-125415-1 [IE]Written by one of the leading authors and researchers in the fi eld,this comprehensive modern text is written for one- or two-semesterundergraduate courses in General Combinatorics or EnumerativeCombinatorics taken by math and computer science majors. Introductionto Enumerative Combinatorics features a strongly-developedfocus on enumeration, a vitally important area in introductory combinatoricscrucial for further study in the fi eld. Miklós Bóna’s text is oneof the very fi rst enumerative combinatorics books written specifi callyfor the needs of an undergraduate audience, with a lively and engagingstyle that is ideal for presenting the material to sophomoresor juniors. This text is part of the Walter Rudin Student Series inAdvanced Mathematics.CONTENTSForeword.Preface.Acknowledgments.I How: Methods.1 Basic Methods.1.1 When We Add and When We Subtract1.1.1 When We Add1.1.2 When We Subtract1.2 When We Multiply1.2.1 The Product Principle1.2.2 Using Several Counting Principles1.2.3 When Repetitions Are Not Allowed1.3 When We Divide1.3.1 The Division Principle1.3.2 Subsets1.4 Applications of Basic Counting Principles1.4.1 Bijective Proofs1.4.2 Properties of Binomial Coefficients1.4.3 Permutations With Repetition.1.5 The Pigeonhole Principle1.6 Notes1.7 Chapter Review1.8 Exercises1.9 Solutions to Exercises1.10 Supplementary Exercises.2 Direct Applications of Basic Methods2.1 Multisets and Compositions2.1.1 Weak Compositions2.1.2 Compositions2.2 Set Partitions2.2.1 Stirling Numbers of the Second Kind2.2.2 Recurrence Relations for Stirling Numbers of the SecondKind2.2.3 When the Number of Blocks Is Not Fixed2.3 Partitions of Integers2.3.1 Nonincreasing Finite Sequences of Integers2.3.2 Ferrers Shapes and Their Applications2.3.3 Excursion: Euler’s Pentagonal Number Theorem2.4 The Inclusion-Exclusion Principle2.4.1 Two Intersecting Sets2.4.2 Three Intersecting Sets2.4.3 Any Number of Intersecting Sets2.5 The Twelvefold Way2.6 Notes2.7 Chapter Review2.8 Exercises2.9 Solutions to Exercises2.10 Supplementary Exercises3 Generating Functions3.1 Power Series3.1.1 Generalized Binomial Coefficients3.1.2 Formal Power Series3.2 Warming Up: Solving Recursions3.2.1 Ordinary Generating Functions3.2.2 Exponential Generating Functions3.3 Products of Generating Functions3.3.1 Ordinary Generating Functions3.3.2 Exponential Generating Functions3.4 Excursion: Composition of Two Generating Functions3.4.1 Ordinary Generating Functions3.4.2 Exponential Generating Functions3.5 Excursion: A Different Type of Generating Function3.6 Notes3.7 Chapter Review3.8 Exercises3.9 Solutions to Exercises3.10 Supplementary Exercises.II What: Topics.4 Counting Permutations4.1 Eulerian Numbers4.2 The Cycle Structure of Permutations4.2.1 Stirling Numbers of the First Kind4.2.2 Permutations of a Given Type4.3 Cycle Structure and Exponential Generating Functions4.4 Inversions4.4.1 Counting Permutations with Respect to Inversions4.5 Notes4.6 Chapter Review4.7 Exercises4.8 Solutions to Exercises87

HIGHER MATHEMATICS4.9 Supplementary Exercises5 Counting Graphs5.1 Counting Trees and Forests5.1.1 Counting Trees5.2 The Notion of Graph Isomorphisms5.3 Counting Trees on Labeled Vertices5.3.1 Counting Forests5.4 Graphs and Functions5.4.1 Acyclic Functions5.4.2 Parking Functions5.5 When the Vertices Are Not Freely Labeled5.5.1 Rooted Plane Trees5.5.2 Binary Plane Trees5.6 Excursion: Graphs on Colored Vertices5.6.1 Chromatic Polynomials5.6.2 Counting k-colored Graphs5.7 Graphs and Generating Functions5.7.1 Generating Functions of Trees5.7.2 Counting Connected Graphs5.7.3 Counting Eulerian Graphs5.8 Notes5.9 Chapter Review5.10 Exercises5.11 Solutions to Exercises5.12 Supplementary Exercises6 Extremal Combinatorics6.1 Extremal Graph Theory6.1.1 Bipartite Graphs6.1.2 Tur´an’s Theorem6.1.3 Graphs Excluding Cycles6.1.4 Graphs Excluding Complete Bipartite Graphs6.2 Hypergraphs6.2.1 Hypergraphs with Pairwise Intersecting Edges6.2.2 Hypergraphs with Pairwise Incomparable Edges6.3 Something Is More Than Nothing: Existence Proofs6.3.1 Property B6.3.2 Excluding Monochromatic Arithmetic Progressions6.3.3 Codes Over Finite Alphabets6.4 Notes6.5 Chapter Review6.6 Exercises6.7 Solutions to Exercises6.8 Supplementary Exercises.III What Else: Special Topics.7 Symmetric Structures7.1 Hypergraphs with Symmetries7.2 Finite Projective Planes7.2.1 Excursion: Finite Projective Planes of Prime Power Order7.3 Error-Correcting Codes7.3.1 Words Far Apart7.3.2 Codes from Hypergraphs7.3.3 Perfect Codes7.4 Counting Symmetric Structures7.5 Notes7.6 Chapter Review7.7 Exercises7.8 Solutions to Exercises7.9 Supplementary Exercises8 Sequences in Combinatorics8.1 Unimodality8.2 Log-Concavity8.2.1 Log-Concavity Implies Unimodality8.2.2 The Product Property8.2.3 Injective Proofs8.3 The Real Zeros Property8.4 Notes8.5 Chapter Review8.6 Exercises8.7 Solutions to Exercises8.8 Supplementary Exercises9 Counting Magic Squares and Magic Cubes9.1 An Interesting Distribution Problem9.2 Magic Squares of Fixed Size9.2.1 The Case of n = 39.2.2 The Function Hn(r) for Fixed n9.3 Magic Squares of Fixed Line Sum9.4 Why Magic Cubes Are Different9.5 Notes9.6 Chapter Review9.7 Exercises9.8 Supplementary Exercises.A The Method of Mathematical Induction.A.1 Weak InductionA.2 Strong Induction ReferencesIndexList of Frequently Used NotationSCHAUM’S OUTLINE OF COMBINATORICSBy V K Balakrishnan, University of Maine1995 / 320 pagesISBN: 978-0-07-003575-1A Schaum’s PublicationCONTENTSThe Sum Rule and the Product Rule.Permutations and Combinations.The Pigeonhole Principle.Generalized Permutations and Combinations.Sequences and Selections.The Inclusion-Exclusion Principle.Generating Functions and Partitions of Integers.The Distribution Problem in Combinatorics.Recurrence Relations.Group Theory in Combinatorics--Including The Burnside-FroberiusTheorem.Permutation Groups and Their Cycles Indices and Polya’s EnumerationTheorems.LogicSCHAUM’S EASY OUTLINE OF LOGICBy John Nolt, University of Tennessee, Dennis Rohatyn, University of SanDiego and Achille Varzi, Columbia University-New York2006 (September 2005) / 160pagesISBN: 978-0-07-145535-0A Schaum’s PublicationPared-down, simplified, and tightly focused, Schaum’s Easy Outlineof Logic is perfect for anyone turned off by dense text. Cartoons,sidebars, icons, and other graphic pointers get the material acrossfast, and concise text focuses on the essence of logic. This is theideal book for last-minute test preparation.88

HIGHER MATHEMATICSAdvanced EngineeringMathematicsInternational EditionMATHCAD: A TOOL FOR ENGINEERS ANDSCIENTISTS (B.E.S.T. SERIES)Second Editionby Philip J. Pritchard, Manhattan College2008 (August 2007) / Softcover / 224 pagesISBN: 978-0-07-723156-9 (with CD-Rom)ISBN: 978-0-07-126698-7 [IE]www.mhhe.com/bestMathcad: A Tool for Engineering Problem Solving explains how touse Mathcad 13 (Student and Standard), This book is current withthe latest release of mathcad, with the focus on the fundamentals, isenriched with great motivating applications, solid homework problems,appealing to both engineers and scientists.CONTENTS1 What Is Mathcad and Why Use It?2 The Basics of Mathcad3 How to Graph Functions4 Symbolic and Numeric Calculus5 How to Solve Equations6 Vectors, Matrices, and More7 Solving Ordinary Differential Equations8 Doing Statistics with Mathcad9 Importing and Exporting, the Web, and Some Advanced ConceptsInternational EditionSPREADSHEET TOOLS FOR ENGINEERSUSING EXCELThird Editionby Byron S Gottfried, University of Pittsburgh-Pittsburgh2007 / Softcover / 512 pagesISBN: 978-0-07-297184-2ISBN: 978-0-07-110663-4 [IE]www.mhhe.com/gottfried3eThis best-selling Spreadsheet book provides excellent coverage ofall versions of Excel including the latest version, Excel 2002. It discusseshow to use Excel to solve a variety of problems in introductoryengineering analysis, such as graphing data, unit conversions, simplestatistical analysis, sorting, searching and analyzing data, curve fitting,interpolation, solving algebraic equations, logical decisions, evaluatingintegrals, comparing economic alternatives, and fi nding optimumsolutions. Numerous examples are included illustrating both traditionaland spreadsheet solutions to a variety of problems. The underlyingmathematical solution procedures are also discussed, so that thereader is provided with an understanding of what the spreadsheetdoes and how it does it.HIGHER ENGINEERING MATHEMATICSBy B.V. Ramana, JNTU College of Engineering-Kakinada2006 (July 2006) / 1312 pagesISBN: 978-0-07-063419-0<strong>McGraw</strong>-<strong>Hill</strong> India TitleCONTENTSPart A: PreliminariesChapter 1. Vector Algebra, Theory of Equations, Complex NumbersPart B: Differential and Integral CalculusChapter 2. Differential CalculusChapter 3. Partial DifferentiationChapter 4. Maxima and MinimaChapter 5. Curve TracingChapter 6. Integral Calculus: ApplicationsChapter 7. Multiple IntegralsPart C: Ordinary Differential EquationsChapter 8. Ordinary Differential Equations: First Order with ApplicationsChapter 9. Ordinary Differential Equations: Second and higher orderswith ApplicationsChapter 10. Series SolutionsChapter 11. Special FunctionsChapter 12. Laplace TransformPart D: Linear Algebra and Vector CalculusChapter 13. MatricesChapter 14. Eigen Values and Eigen VectorsChapter 15. Vector Differential CalculusChapter 16. Vector Integral CalculusPart E: Fourier Analysis and Partial Differential EquationsChapter 17. Fourier SeriesChapter 18. Partial Differential EquationsChapter 19. Applications of PDEChapter 20. Fourier Integral and Fourier TransformChapter 21. Finite Differences And Z-transformsPart F: Complex AnalysisChapter 22. Complex FunctionsChapter 23. Complex IntegrationChapter 24. Theory of ResiduesChapter 25. Conformal MappingPart G: Probability and StatisticsChapter 26. Probability TheoryChapter 27. Probability DistributionsChapter 28. Sampling Distributions (SD)Chapter 29. Inferences concerning means and proportionsChapter 30. Line & Curve Fitting, Correlation and RegressionChapter 31. Joint Probability Distribution and Markov ChainsPart H: Numerical AnalysisChapter 32. Numerical AnalysisChapter 33. Numerical Solutions of ODE and PDEAppendicesA1: Basic ResultsA2: Statistical TablesA3: BibliographyA4: Index89

HIGHER MATHEMATICSSCHAUM’S OUTLINE OF TENSORCALCULUSby David C. Kay, Worcester Polytechnic1988 / Softcover / 224 pagesISBN: 978-0-07-033484-7A Schaum’s PublicationCONTENTSThe Einstein Summation Convention.Basic Linear Algebra for Tensors.General Tensors.Tensor Operations.Tests for Tensor Character.The Metric Tensor.The Derivative of a Tensor.Further Riemannian Geometry.Riemannian Curvature.Spaces of Zero Curvature.Tensors in Differential Geometry.Tensors in Mechanics.Tensors in Special Relativity.Tensors Without Coordinates.Introduction to Tensor Manifolds.International EditionSCHAUM’S OUTLINE OF ADVANCEDMATHEMATICS FOR ENGINEERS ANDSCIENTISTS, SI METRICBy Murray R Spiegel, Rensselaer Polytechnic Institute1971 / 416 pagesISBN: 978-0-07-060216-8 (Non SI Metric)ISBN: 978-0-07-099064-7 [IE, SI Metric]A Schaum’s Publication(International Edition is not for sale in Japan.)CONTENTSReview of Fundamental ConceptsOrdinary Differential EquationsLinear Differential EquationsLaplace TransformsVector AnalysisMultiple, Line, and Surface Integrals and Integral TheoremsFourier SeriesFourier IntegralsGamma, Beta, and Other Special FunctionsBessel FunctionsLengendre Functions and Other Orthogonal Functions of Partial DifferentialEquationsComplex Variables and Conformal MappingComplex Inversion Formula for Laplace TransformsMatricesCalculus of VariationsGraph TheoryInternational EditionINTRODUCTION TO GRAPH THEORYBy Gary Chartrand, Western Michigan University—Kalamazoo and PingZhang, Western Michigan University—Kalamazoo2005 (May 2004) / 464 pagesISBN: 978-0-07-320416-1 (Out-of-Print)ISBN: 978-0-07-123822-9 [IE]CONTENTS1. Introduction: Graphs and Graph Models. Connected Graphs.Common Classes of Graphs.2. Degrees: The Degree of a Vertex. Regular Graphs. DegreeSequences. Excursion: Graphs and Matrices. Exploration: IrregularGraphs.3. Isomorphic Graphs: The Definition of Isomorphisms. Isomorphismas a Relation. Excursion: Recognition, Reconstruction, Solvability.Excursion: Graphs and Groups.4. Trees: Bridges. Trees. The Minimum Spanning Tree Problem.Excursion: The Number of Spanning Trees. Exploration: ComparingTrees.5. Connectivity: Cut-Vertices. Blocks. Connectivity. Menger’s Theorem.Exploration: Geodetic Sets.6. Traversability: Eulerian Graphs. Hamiltonian Graphs. Exploration:Hamiltonian Walks and Numbers. Excursion: The Early <strong>Books</strong>of Graph Theory.7. Digraphs: Strong Digraphs. Tournaments. Excursion: How to MakeDecisions. Exploration: Wine Bottle Problems.8. Matchings and Factorization: Matchings. Factorizations. Decompositionsand Graceful Labelings. Excursion: Instant Insanity.Excursion: The Petersen Graph. Exploration: -Labeling of Graphs.9. Planarity: Planar Graphs. Embedding Graphs on Surfaces. Excursion:Graphs Minors. Exploration: Embedding Graphs in Graphs.10. Coloring Graphs: The Four Color Problem. Vertex Coloring.Edge Coloring. Excursion: The Heawood Map-Coloring Theorem.Exploration: Local Coloring.11. Ramsey Numbers: The Ramsey Number of Graphs. Turan’sTheorem. Exploration: Rainbow Ramsey Numbers. Excursion:Erd?umbers.12. Distance: The Center of a Graph. Distant Vertices. Excursion:Locating Numbers. Excursion: Detour Distance and Directed Distance.Exploration: The Channel Assignment Problem. Exploration:Distance Between Graphs.13. Domination: The Domination Number of a Graph. Exploration:Stratification. Exploration: Lights Out. Excursion: And Still It GrowsMore Colorful.Appendix 1. Sets and Logic.Appendix 2. Equivalence Relations and Functions.Appendix 3. Methods of Proof.Answers and Hints to Odd-Numbered Exercises.References.Index of Symbols.Index of Mathematical Terms90

HIGHER MATHEMATICSInternational EditionAPPLIED AND ALGORITHMIC GRAPHTHEORYBy Gary Chartrand, Western Michigan University, and Ortrud Oellermann,University of Natal, South Africa1993 / 432 pagesISBN: 978-0-07-557101-8 (Out-of-Print)ISBN: 978-0-07-112575-8 [IE]CONTENTS1 An Introduction to Graphs2 An Introduction to Algorithms3 Trees4 Paths and Distance and Graphs5 Networks6 Matchings and Factorizations7 Eulerian Graphs8 Hamiltonian Graphs9 Planar Graphs10 Coloring Graphs11 Digigraphs12 Extremal Graph TheorySCHAUM’S OUTLINE OF GRAPH THEORYIncluding Hundreds of Solved ProblemsBy V K Balakrishnan, University of Maine1997 / 288 pagesISBN: 978-0-07-005489-9A Schaum’s PublicationCONTENTSGraphs and Digraphs.Connectivity.Eulerian and Hamiltonian Graphs.Optimization Involving Trees.Shortest Path Problems.Flow and Connectivity.Planarity and Duality.Graph Colorings.Additional Topics.List of Technical Terms and Symbols Used.COMPLIMENTARY COPIESIntroductory AnalysisInternational EditionPRINCIPLES OF MATHEMATICAL ANALYSISThird EditionBy Walter Rudin, University of Wisconsin-Madison1976 / 325 pagesISBN: 978-0-07-054235-8ISBN: 978-0-07-085613-4 [IE]CONTENTSChapter 1: The Real Numbers:Section 1.1 Sets.Section 1.2 Functions.Section 1.3 Algebraic and order properties.Section 1.4 The positive integers.Section 1.5 The least upper bound axiom.Chapter 2: Sequences:Section 2.1 Sequences and limits.Section 2.2 Limit theorems.Section 2.3 Monotonic sequences.Section 2.4 Sequences defined inductively.Section 2.5 Sequences, Cauchy sequences.Section 2.6 Infinite limits.Chapter 3: Functions and Continuity:Section 3.1 Limit of a function.Section 3.2 Limit theorems.Section 3.3 Other limits.Section 3.4 Continuity.Section 3.5 Intermediate values, extreme values.Section 3.6 Uniform continuity.Chapter 4: The Derivative:Section 4.1 Definition of the derivative.Section 4.2 Rules for differentiation.Section 4.3 The Mean Value Theorem.Section 4.4 Inverse functions.Chapter 5: The Integral:Section 5.1 The definition of the integral.Section 5.2 Properties of the integral.Section 5.3 Existence theory.Section 5.4 The Fundamental Theorem of Calculus.Section 5.5 Improper integrals.Chapter 6: Infinite Series:Section 6.1 Basic theory.Section 6.2 Absolute convergence.Section 6.3 Power series.Section 6.4 Taylor series.Chapter 7: Sequences and Series of Functions:Section 7.1 Uniform convergence.Section 7.2 Consequences of uniform convergence.Section 7.3 Two examples.Solutions and Hints for Selected Problems.IndexComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia91

HIGHER MATHEMATICSHistory Of MathematicsInternational EditionTHE HISTORY OF MATHEMATICSAn IntroductionSixth EditionBy David M. Burton, University Of New Hampshire2007 (November 2005) / 752 pages / HardcoverISBN: 978-0-07-305189-5ISBN: 978-0-07-125389-5 [IE]The History of Mathematics: An Introduction, Sixth Edition, is writtenfor the one- or two-semester math history course taken by juniors orseniors, and covers the history behind the topics typically covered inan undergraduate math curriculum or in elementary schools or highschools. Elegantly written in David Burton’s imitable prose, this classictext provides rich historical context to the mathematics that undergradmath and math education majors encounter every day. Burton illuminatesthe people, stories, and social context behind mathematics’greatest historical advances while maintaining appropriate focus onthe mathematical concepts themselves. Its wealth of information,mathematical and historical accuracy, and renowned presentationmake The History of Mathematics: An Introduction, Sixth Edition avaluable resource that teachers and students will want as part of apermanent library.CONTENTSPreface.1 Early Number Systems and Symbols1.1 Primitive Counting. A Sense of Number. Notches as Tally Marks.The Peruvian Quipus: Knots as Numbers.1.2 Number Recording of the Egyptians and Greeks. The History ofHerodotus. Hieroglyphic Representation of Numbers. Egyptian HieraticNumeration. The Greek Alphabetic Numeral System.1.3 Number Recording of the Babylonians. Babylonian CuneiformScript. Deciphering Cuneiform: Grotefend and Rawlinson. The BabylonianPositional Number System. Writing in Ancient China.2 Mathematics in Early Civilizations2.1 The Rhind Papyrus. Egyptian Mathematical Papyri. A Key ToDeciphering: The Rosetta Stone2.2 Egyptian Arithmetic. Early Egyptian Multiplication. The Unit FractionTable. Representing Rational Numbers2.3 Four Problems from the Rhind Papyrus. The Method of FalsePosition. A Curious Problem. Egyptian Mathematics as AppliedArithmetic.2.4 Egyptian Geometry. Approximating the Area of a Circle. TheVolume of a Truncated Pyramid. Speculations About the GreatPyramid2.5 Babylonian Mathematics. A Tablet of Reciprocals. The BabylonianTreatment of Quadratic Equations. Two Characteristic BabylonianProblems.2.6 Plimpton. A Tablet Concerning Number Triples. Babylonian Use ofthe Pythagorean Theorem. The Cairo Mathematical Papyrus.3 The Beginnings of Greek Mathematics3.1 The Geometric Discoveries of Thales. Greece and the AegeanArea. The Dawn of Demonstrative Geometry: Thales of Miletos.Measurements Using Geometry.3.2 Pythagorean Mathematics. Pythagoras and His Followers.Nichomachus’ Introductio Arithmeticae. The Theory of FigurativeNumbers. Zeno’s Paradox3.3 The Pythagorean Problem. Geometric Proofs of the PythagoreanTheorem. Early Solutions of the Pythagorean Equation. The Crisis ofIncommensurable Quantities. Theon’s Side and Diagonal NumbersEudoxus of Cnidos.3.4 Three Construction Problems of Antiquity. Hippocrates and theQuadrature of the Circle. The Duplication of the Cube. The Trisectionof an Angle.3.5 The Quadratrix of Hippias. Rise of the Sophists. Hippias of Elis.The Grove of Academia: Plato’s Academy.4 The Alexandrian School: Euclid.4.1 Euclid and the Elements. A Center of Learning: The Museum.Euclid’s Life and Writings.4.2 Euclidean Geometry. Euclid’s Foundation for Geometry. Book I ofthe Elements. Euclid’s Proof of the Pythagorean Theorem. Book II onGeometric Algebra. Construction of the Regular Pentagon.4.3 Euclid’s Number Theory. Euclidean Divisibility Properties. TheAlgorithm of Euclid. The Fundamental Theorem of Arithmetic. AnInfinity of Primes.4.4 Eratosthenes, the Wise Man of Alexandria. The Sieve ofEratosthenes. Measurement of the Earth. The Almagest of ClaudiusPtolemy. Ptolemy’s Geographical Dictionary.4.5 Archimedes. The Ancient World’s Genius. Estimating the Value of.The Sand-Reckoner Quadrature of a Parabolic Segment. Apolloniusof Perga: the Conics.5 The Twilight of Greek Mathematics: Diophantus.5.1 The Decline of Alexandrian Mathematics. The Waning of theGolden Age. The Spread of Christianity. Constantinople, A Refugefor Greek Learning.5.2 The Arithmetica. Diophantus’s Number Theory. Problems fromthe Arithmetica.5.3 Diophantine Equations in Greece, India and China. The CattleProblem of Archimedes. Early Mathematics in India. The ChineseHundred Fowls Problem.5.4 The Later Commentators. The Mathematical Collection of Pappus.Hypatia, the First Woman Mathematician. Roman Mathematics:Boethius and Cassiodorus.5.5 Mathematics in the Near and Far East. The Algebra of al-Khowârizmî.Abû Kamil and Thâbit ibn Qurra. Omar Khayyam The Astronomersal-Tusi and al-Karashi. The Ancient Chinese Nine Chapters. LaterChinese Mathematical Works.6 The First Awakening: Fibonacci.6.1 The Decline and Revival of Learning. The Carolingian Pre-Renaissance.Transmission of Arabic Learning to the West. The PioneerTranslators: Gerard and Adelard.6.2 The Liber Abaci and Liber Quadratorum. The Hindu-Arabic Numerals.Libonacci’s Liver Quadratorum. The Works of Jordanus deNemore.6.3 The Fibonacci Sequence. The Liber Abaci’s Rabbit Problem. SomeProperties of Fibonacci Numbers.6.4 Fibonacci and the Pythagorean Problem. Pythagorean NumberTriples. Fibonacci’s Tournament Problem.7 The Renaissance of Mathematics: Cardan and Tartaglia.7.1 Europe in the Fourteenth and Fifteenth Centuries. The ItalianRenaissance. Artificial Writing: The Invention of Printing. Foundingof the Great Universities A Thirst for Classical Learning.7.2 The Battle of the Scholars. Restoring the Algebraic Tradition: RobertRecorde. The Italian Algebraists: Pacioli, del Ferro and Tartaglia.Cardan, A Scoundrel Mathematician7.3 Cardan’s Ars Magna. Cardan’s Solution of the Cubic Equation.Bombelli and Imaginary Roots of the Cubic.7.4 Ferrari’s Solution of the Quartic Equation. The Resolvant Cubic.The Story of the Quintic Equation: Ruffini, Abel and Galois.8 The Age of Descartes and Newton.8.1 The Dawn of Modern Mathematics. The 17th Century Spreadof Knowledge. Galileo’s Telescopic Observations. The Beginning ofModern Notation: Francois Vièta. The Decimal Fractions of SimonSteven. Napier’s Invention of Logarithms. The Astronomical Discoveriesof Brahe and Kepler.8.2 Descartes: The Discours de la Méthod. The Writings of Descartes.Inventing Cartesian Geometry. The Algebraic Aspect of La Géometrie.Descartes’ Principia Philosophia. Perspective Geometry: Desarguesand Poncelet.8.3 Newton: The Principia Mathematica. The Textbooks of Oughtredand Harriot. Wallis’ Arithmetica Infinitorum. The Lucasian Professorship:Barrow and Newton. Newton’s Golden Years. The Laws ofMotion. Later Years: Appointment to the Mint.8.4 Gottfried Leibniz: The Calculus Controversy. The Early Work ofLeibniz. Leibniz’s Creation of the Calculus. Newton’s Fluxional Calcu-92

HIGHER MATHEMATICSlus. The Dispute over Priority. Maria Agnesi and Emilie du Châtelet.9 The Development of Probability Theory: Pascal, Bernoulli,and Laplace.9.1 The Origins of Probability Theory. Graunt’s Bills of Mortality. Jamesof Chance: Dice and Cards. The Precocity of the Young Pascal. Pascaland the Cycloid. De Méré’s Problem of Points.9.2 Pascal’s Arithmetic Triangle. The Traité du Triangle Arithmétique.Mathematical Induction. Francesco Maurolico’s Use of Induction.9.3 The Bernoullis and Laplace. Christiaan Huygens’s Pamphlet onProbability. The Bernoulli Brothers: John and James. De Moivre’sDoctrine of Chances The Mathematics of Celestial Phenomena:Laplace. Mary Fairfax Somerville. Laplace’s Research on ProbabilityTheory. Daniel Bernoulli, Poisson and Chebyshev.10 The Revival of Number Theory: Fermat, Euler, and Gauss.10.1 Martin Mersenne and the Search for Perfect Numbers. ScientificSocieties Marin Mersenne’s Mathematical Gathering. Numbers,Perfect and Not So Perfect.10.2 From Fermat to Euler. Fermat’s Arithmetica. The Famous LastTheorem of Fermat. The Eighteenth Century Enlightenment Maclaurin’sTreatise on Fluxions. Euler’s Life and Contributions.10.3 The Prince of Mathematicians: Carl Friedrich Gauss. The Periodof the French Revolution: Lagrange and Monge. Gauss’s DisquisitionesArithmeticae. The Legacy of Gauss: Congruence Theory.Dirichlet and Jacobi.11 Nineteenth-Century Contributions: Lobachevsky to Hilbert.11.1 Attempts to Prove the Parallel Postulate. The Efforts of Proclus,Playfair and Wallis. Saccheri Quadrilaterals. The Accomplishmentsof Legendre. Legendre’s Eléments de géometrie.11.2 The Founders of Non-Euclidean Geometry. Gauss’s Attemptat a New Geometry. The Struggle of John Bolyai. Creation of Non-Euclidean Geometry: Lobachevsky. Models of the New Geometry:Riemann, Beltrami and Klein. Grace Chisholm Young11.3 The Age of Rigor. D’Alembert and Cauchy on Limits. Fourier’sSeries. The Father of Modern Analysis, Weierstrass. Sonya Kovalevsky.The Axiomatic Movement: Pasch and Hilbert11.4 Arithmetic Generalized. Babbage and the Analytical Engine.Peacock’s Treatise on Algebra. The Representations of ComplexNumbers. Hamilton’s Discovery of Quaternions. Matrix Algebra: Cayleyand Sylvester. Boole’s Algebra of Logic12 Transition to the Twenthieth Century12.1 The Emergence of American Mathematics. Ascendency of theGerman Universities. American Mathematics Takes Root: 1800-1900.The Twentieth Century Consolidation12.2 Counting the Infinite. The Last Universalist: Poincaré. Cantor’sTheory of Infinite Sets. Kronecker’s View of Set Theory. Countableand Uncountable Sets. Transcendental Numbers. The ContinuumHypothesis12.3 The Paradoxes of Set Theory. The Early Paradoxes. Zermelo andthe Axiom of Choice. The Logistic School: Frege, Peano and Russell.Hilbert’s Formalistic Approach: Brouwer’s Intuitionism.13 Extensions and Generalizations: Hardy, Hausdorff, andNoether.13.1 Hardy and Ramanujan. The Tripos Examination. The Rejuvenationof English Mathematics. A Unique Collaboration: Hardy andLittlewood. India’s Prodigy, Ramanujan13.2 The Beginnings of Point-Set Topology. Frechet’s Metric Spaces.The Neighborhood Spaces of Hausdorff. Banach and Normed LinearSpaces.13.3 Some Twentieth-Century Developments. Emmy Noether’sTheory of Rings. Von Neumann and the Computer. Women in ModernMathematics. A Few Recent Advances. General Bibliography.Additional Reading. The Greek Alphabet Solutions to SelectedProblems. IndexNumerical AnalysisInternational EditionAPPLIED NUMERICAL METHODS WITHMATLAB FOR ENGINEERS AND SCIENTISTSSecond Editionby Steven C. Chapra, Tufts University2008 (November 2006) / Hardcover / 608 pagesISBN: 978-0-07-313290-7ISBN: 978-0-07-125921-7 [IE]www.mhhe.com/chapraSteven Chapra’s second edition, Applied Numerical Methods withMATLAB for Engineers and Scientists, is written for engineers andscientists who want to learn numerical problem solving. This textfocuses on problem-solving (applications) rather than theory, usingMATLAB, and is intended for Numerical Methods users; hence theoryis included only to inform key concepts. The second edition featurenew material such as Numerical Differentiation and ODE's: Boundary-Value Problems. For those who require a more theoretical approach,see Chapra's best-selling Numerical Methods for Engineers, 5/e(2006), also by <strong>McGraw</strong>-<strong>Hill</strong>.CONTENTSPart One Modeling, Computers, and Error Analysis.1. Mathematical Modeling Numerical Methods and Problem Solving.2. MATLAB Fundamentals.3. Programming with MATLAB.4. Roundoff and Trunication Errors.Part Two Roots and Optimization.5. Roots: Bracketing Methods.6. Roots: Open Methods.7. Optimization.Part Three Linear Systems.8. Linear Algebraic Equations and Matrices.9. Gauss Elimination.10. LU Factorization.11. Matrix Inverse and Condition.12. Iterative Methods.Part Four Curve Fitting.13. Linear Regression.14. General Linear Least-Squares and Non-Linear Regression.15. Polynomial Interpolation. 16. Splines and Piecewise Interpolation.Part Five Integration and Differentiation.17. Numerical Integration Formulas.18. Numerical Integration of Functions.19. Numerical Differentiation.Part Six Ordinary Differential Equations.20. Initial-Value Problems.21. Adaptive Methods and Stiff Systems.22. Boundary-Value ProblemsAppendix A: EigenvaluesAppendix B: MATLAB Built-in FunctionsAppendix C: MATLAB M-File FunctionsBibliographyIndex93

HIGHER MATHEMATICSInternational EditionELEMENTARY NUMERICAL ANALYSISAn Algorithmic Approach, Third EditionBy Samuel D. Conte, Purdue University, Carl de Boor, University ofWisconsin-Madison1980 / 408 pagesISBN: 978-0-07-012447-9 (Out-of-Print)ISBN: 978-0-07-066228-5 [IE]CONTENTS1 Number Systems and Errors2 Interpolation by Polynomial3 The Solution of Nonlinear Equations4 Matrices and Systems of Linear Equations5 Systems of Equations and Unconstrained Optimization6 Approximation7 Differentiation and Integration8 The Solution of Differential Equations9 Boundary Value ProblemsAppendix: Subroutine LibrariesReferencesIndexSCHAUM’S OUTLINE OF NUMERICALANALYSISSecond EditionBy Francis Scheid, Boston University1988 / 471 pagesISBN: 978-0-07-055221-0A Schaum’s PublicationCONTENTSWhat Is Numerical Analysis?The Collocation Polynomial.Finite Differences.Factorial Polynomials.Summation.The Newton Formula.Operators and Collocation Polynomials.Unequally-Spaced Arguments.Splines.Osculating Polynomials.The Taylor Polynomial.Interpolation.Numerical Differentiation.Numerical Integration.Gaussian Integration.Singular Integrals.Sums and Series.Difference Equations.Differential Equations.Differential Problems of Higher Order.Least-Squares Polynomial Approximation.Min-Max Polynomial Approximation.Approximation By Rational Functions.Trigonometric Approximation.Nonlinear Algebra.Linear Systems.Linear Programming.Overdetermined Systems.Boundary Value Problems.Monte Carlo Methods.Number TheoryInternational EditionELEMENTARY NUMBER THEORYSixth EditionBy David M. Burton, University Of New Hampshire2007 (October 2005) / 528 pages / HardcoverISBN: 978-0-07-305188-8ISBN: 978-0-07-124425-1 [IE]Elementary Number Theory, Sixth Edition, is written for the one-semesterundergraduate number theory course taken by math majors,secondary education majors, and computer science students. Thiscontemporary text provides a simple account of classical numbertheory, set against a historical background that shows the subject’sevolution from antiquity to recent research. Written in David Burton’sengaging style, Elementary Number Theory reveals the attraction thathas drawn leading mathematicians and amateurs alike to numbertheory over the course of history.CONTENTSPreface. New To This Edition.1 Preliminaries1.1 Mathematical Induction1.2 The Binomial Theorem2 Divisibility Theory in the Integers2.1 Early Number Theory2.1 The Division Algorithm2.2 The Greatest Common Divisor2.3 The Euclidean Algorithm2.4 The Diophantine Equation ax + by = c3 Primes and Their Distribution3.1 The Fundamental Theorem of Arithmetic3.2 The Sieve of Eratosthenes3.3 The Goldbach Conjecture4 The Theory of Congruences4.1 Carl Friedrich Gauss4.2 Basic Properties of Congruence4.3 Binary and Decimal Representations of Integers4.4 Linear Congruences and the Chinese Remainder Theorem5 Fermat’s Theorem5.1 Pierre de Fermat5.2 Fermat’s Little Theorem and Pseudoprimes5.3 Wilson’s Theorem5.4 The Fermat-Kraitchik Factorization Method6 Number-Theoretic Functions6.1 The Sum and Number of Divisors6.2 The Möbius Inversion Formula6.3 The Greatest Integer Function6.4 An Application to the Calendar7 Euler’s Generalization of Fermat’s Theorem7.1 Leonhard Euler7.2 Euler’s Phi-Function7.3 Euler’s Theorem7.4 Some Properties of the Phi-Function.8 Primitive Roots and Indices8.1 The Order of an Integer Modulo n8.2 Primitive Roots for Primes8.3 Composite Numbers Having Primitive Roots8.4 The Theory of Indices9 The Quadratic Reciprocity Law9.1 Euler’s Criterion9.2 The Legendre Symbol and Its Properties9.3 Quadratic Reciprocity9.4 Quadratic Congruences with Composite Moduli10 Introduction to Cryptography10.1 From Caesar Cipher to Public Key Cryptography10.2 The Knapsack Cryptosystem94

HIGHER MATHEMATICS10.3 An Application of Primitive Roots to Cryptography11 Numbers of Special Form11.1 Marin Mersenne11.2 Perfect Numbers11.3 Mersenne Primes and Amicable Numbers11.4 Fermat Numbers12 Certain Nonlinear Diophantine Equations12.1 The Equation x2 + y2 = z212.2 Fermat’s Last Theorem13 Representation of Integers as Sums of Squares13.1 Joseph Louis Lagrange13.2 Sums of Two Squares13.3 Sums of More than Two Squares14 Fibonacci Numbers14.1 Fibonacci14.2 The Fibonacci Sequence14.3 Certain Identities Involving Fibonacci Numbers15 Continued Fractions15.1 Srinivasa Ramanujan15.2 Finite Continued Fractions15.3 Infinite Continued Fractions15.4 Pell’s Equation16 Some Twentieth-Century Developments.16.1 Hardy, Dickson, and Erdös16.2 Primality Testing and Factorization16.3 An Application to Factoring: Remote Coin Flipping16.4 The Prime Number Theorem and Zeta Function.Miscellaneous Problems.Appendixes.General References.Suggested Further Reading Tables.Answers to Selected Problems.Index.Abstract AlgebraSCHAUM’S OUTLINE OF ABSTRACTALGEBRASecond Editionby Lloyd R. Jaisingh, Morehead State University2004 / 288 pagesISBN: 978-0-07-140327-6This long-awaited revision provides a concise introduction to topicsin abstract algebra, taking full account of the major advances anddevelopments that have occurred over the last half-century in thetheoretical and conceptual aspects of the discipline, particularly inthe areas of groups and fields.SCHAUM’S OUTLINE OF GROUP THEORYby B. Baumslag and B. Chandler, Ph.D., New York University1968 / 288 pagesISBN: 978-0-07-004124-0CONTENTSSets, Mappings and Binary Operations, Groupoids.Groups and Subgroups.Isomorphism Theorems.Finite Groups.Abelian Groups.Permutational Representations.Free Groups and Presentations.Appendices: A: Number Theory.B: Guide to the Literature.Symbols and Notations.SCHAUM’S OUTLINE OF MODERNABSTRACT ALGEBRABy Frank Ayres (deceased)1965 / 256 pagesISBN: 978-0-07-002655-1A Schaum’s PublicationCONTENTSSets.Relations and Operations.The Natural Numbers.The Integers.Some Properties of Integers.The Rational Numbers.The Real Numbers.The Complex Numbers.Groups.Rings.Integral Domains.Division Rings.Fields.Polynomials.Vector Spaces.Matrices.Matrix Polynomials.Linear Algebra.Boolean Algebra.Key features include:•••A new section on binary linear codesNew chapter on Automorphisms and Galois Theory450 fully solved problems and 420 supplementary problems forindividual practiceMore than 175 illustrative examples•95

HIGHER MATHEMATICSAdvanced GeometrySCHAUM’S OUTLINE OF DIFFERENTIALGEOMETRYBy Martin M. Lipschutz, Hahnemann Medical College1969 / 288 pagesISBN-13: 978-0-07-037985-5A Schaum’s PublicationCONTENTSVectors.Vector Functions of Real Variable.Concept of Curve.Curvature and Torsion.Theory of Curves.Elementary Topology in Euclidean Spaces.Vector Functions of Vector Variable.Concept of Curve.First and Second Fundamental Forms.Theory of Surfaces.Tensor Analysis.Intrinsic Geometry.Appendix.Existence Theorem for Curves.Existence Theorem for Surfaces.NewComplex AnalysisInternational EditionCOMPLEX VARIABLES ANDAPPLICATIONSEighth EditionBy James Ward Brown, University of Michigan-Dearborn and Ruel V Churchill (deceased)2009 (January 2008) / 504 pagesISBN: 978-0-07-305194-9ISBN: 978-0-07-126328-3 [IE]Complex Variables and Applications, 8e will serve, just as the earliereditions did, as a textbook for an introductory course in the theoryand application of functions of a complex variable. This new editionpreserves the basic content and style of the earlier editions. The textis designed to develop the theory that is prominent in applications ofthe subject. You will fi nd a special emphasis given to the applicationof residues and conformal mappings. To accommodate the differentcalculus backgrounds of students, footnotes are given with referencesto other texts that contain proofs and discussions of the more delicateresults in advanced calculus. Improvements in the text includeextended explanations of theorems, greater detail in arguments, andthe separation of topics into their own sections.NEW TO THIS EDITION Some sections that can be skipped or postponed without disruptionare more clearly identified. The statements of Taylor’s andLaurent’s theorems, for example, now appear in sections that areseparate from the sections containing their proofs. The treatment of the extended form of the Cauchy integralformula for derivatives has been completely rewritten, with specialattention to its immediate consequences. Other improvements include more details in arguments involvingmathematical induction, greater emphasis on rules for using complexexponents, some discussion of residues at infinity, and a clearer expositionof real improper integrals and their Cauchy principal values. Some important material is presented in a more focused way byplacing it in separate sections. For instance, the discussion of upperbounds of moduli of contour integrals is now entirely in one section,and there is a separate section devoted to the definition of isolatedsingular points. A revised Student’s Solutions Manual with solutions for a largenumber of exercises in Chapters 1-7 is availableCONTENTS1 Complex NumbersSums and ProductsBasic Algebraic PropertiesFurther PropertiesModuliComplex ConjugatesExponential FormProducts and Quotients in Exponential FormRoots of Complex NumbersExamplesRegions in the Complex Plane2 Analytic FunctionsFunctions of a Complex VariableMappingsMappings by the Exponential FunctionLimitsTheorems on LimitsLimits Involving the Point at InfinityContinuityDerivativesDifferentiation FormulasCauchy–Riemann EquationsSufficient Conditions for DifferentiabilityPolar CoordinatesAnalytic FunctionsExamplesHarmonic FunctionsUniquely Determined Analytic FunctionsReflection Principle3 Elementary FunctionsThe Exponential FunctionThe Logarithmic FunctionBranches and Derivatives of LogarithmsSome Identities Involving LogarithmsComplex ExponentsTrigonometric FunctionsHyperbolic FunctionsInverse Trigonometric and Hyperbolic Functions4 IntegralsDerivatives of Functions w(t)Definite Integrals of Functions w(t)ContoursContour IntegralsExamplesUpper Bounds for Moduli of Contour IntegralsAntiderivativesExamples96

HIGHER MATHEMATICSCauchy–Goursat TheoremProof of the TheoremSimply and Multiply Connected DomainsCauchy Integral FormulaDerivatives of Analytic FunctionsLiouville’s Theorem and the Fundamental Theorem of AlgebraMaximum Modulus Principle5 SeriesConvergence of SequencesConvergence of SeriesTaylor SeriesExamplesLaurent SeriesExamplesAbsolute and Uniform Convergence of Power SeriesContinuity of Sums of Power SeriesIntegration and Differentiation of Power SeriesUniqueness of Series RepresentationsMultiplication and Division of Power Series6 Residues and PolesResiduesCauchy’s Residue TheoremUsing a Single ResidueThe Three Types of Isolated Singular PointsResidues at PolesExamplesZeros of Analytic FunctionsZeros and PolesBehavior of f Near Isolated Singular Points7 Applications of ResiduesEvaluation of Improper IntegralsExampleImproper Integrals from Fourier AnalysisJordan’s LemmaIndented PathsAn Indentation Around a Branch PointIntegration Along a Branch CutDefinite Integrals Involving Sines and CosinesArgument PrincipleRouché’s TheoremInverse Laplace TransformsExamples8 Mapping by Elementary FunctionsLinear TransformationsThe Transformation w = 1/zMappings by 1/zLinear Fractional TransformationsAn Implicit FormMappings of the Upper Half PlaneThe Transformation w = sin zMappings by z2 and Branches of z1/2Square Roots of PolynomialsRiemann SurfacesSurfaces for Related Functions9 Conformal MappingPreservation of AnglesScale FactorsLocal InversesHarmonic ConjugatesTransformations of Harmonic FunctionsTransformations of Boundary Conditions10 Applications of Conformal MappingSteady TemperaturesSteady Temperatures in a Half PlaneA Related ProblemTemperatures in a QuadrantElectrostatic PotentialPotential in a Cylindrical SpaceTwo-Dimensional Fluid FlowThe Stream FunctionFlows Around a Corner and Around a Cylinder11 The Schwarz–Christoffel TransformationMapping the Real Axis onto a PolygonSchwarz–Christoffel TransformationTriangles and RectanglesDegenerate PolygonsFluid Flow in a Channel Through a SlitFlow in a Channel with an OffsetElectrostatic Potential about an Edge of a Conducting Plate12 Integral Formulas of the Poisson TypePoisson Integral FormulaDirichlet Problem for a DiskRelated Boundary Value ProblemsSchwarz Integral FormulaDirichlet Problem for a Half PlaneNeumann ProblemsAppendixesBibliographyTable of Transformations of RegionsIndexInternational EditionREAL AND COMPLEX ANALYSISThird EditionBy Walter Rudin, University of Wisconsin1987 / 483 pagesISBN: 978-0-07-054234-1ISBN: 978-0-07-100276-9 [IE]CONTENTSPreface.Prologue: The Exponential Function.Chapter 1: Abstract Integration:Set-theoretic notations and terminology. The concept of measurability.Simple functions. Elementary properties of measures. Arithmetic in[0, infinity]. Integration of positive functions. Integration of complexfunctions. The role played by sets of measure zero. Exercises.Chapter 2: Positive Borel Measures:Vector spaces. Topological preliminaries. The Riesz representationtheorem. Regularity properties of Borel measures. Lebesgue measure.Continuity properties of measurable functions. Exercises.Chapter 3: L^p-Spaces:Convex functions and inequalities. The L^p-spaces. Approximationby continuous functions. Exercises.Chapter 4: Elementary Hilbert Space Theory:Inner products and linear functionals. Orthonormal sets. Trigonometricseries. Exercises.Chapter 5: Examples of Banach Space Techniques:Banach spaces. Consequences of Baire’s theorem. Fourier seriesof continuous functions. Fourier coefficients of L-functions. TheHahn-Banach theorem. An abstract approach to the Poisson integral.Exercises.Chapter 6: Complex Measures:Total variation. Absolute continuity. Consequences of the Radon-Nikodym theorem. Bounded linear functionals on L^p. The Rieszrepresentation theorem. Exercises.Chapter 7: Differentiation:Derivatives of measures. The fundamental theorem of Calculus. Differentiabletransformations. Exercises.Chapter 8: Integration on Product Spaces:Measurability on cartesian products. Product measures. The Fubinitheorem. Completion of product measures. Convolutions. Distributionfunctions. Exercises.Chapter 9: Fourier Transforms:Formal properties. The inversion theorem. The Plancherel theorem.The Banach algebra L. Exercises.Chapter 10: Elementary Properties of Holomorphic Functions:Complex differentiation. Integration over paths. The local Cauchy the-97

HIGHER MATHEMATICSorem. The power series representation. The open mapping theorem.The global Cauchy theorem. The calculus of residues. Exercises.Chapter 11: Harmonic Functions:The Cauchy-Riemann equations. The Poisson integral. The meanvalue property. Boundary behavior of Poisson integrals. Representationtheorems. Exercises.Chapter 12: The Maximum Modulus Principle:Introduction. The Schwarz lemma. The Phragmen-Lindel’s Method.An interpolation theorem. A converse of the maximum modulustheorem. Exercises.Chapter 13: Approximation by Rational Functions:Preparation. Runge’s theorem. The Mittag-Leffler theorem. Simplyconnected regions. Exercises.Chapter 14: Conformal Mapping:Preservation of angles. Linear fractional transformations. Normalfamilies. The Riemann mapping theorem. The class. Continuity at theboundary. Conformal mapping of an annulus. Exercises.Chapter 15: Zeros of Holomorphic Functions:Infinite Products. The Weierstrass factorization theorem. An interpolationproblem. Jensen’s formula. Blaschke products. The M’zastheorem. Exercises.Chapter 16: Analytic Continuation:Regular points and singular points. Continuation along curves. Themonodromy theorem. Construction of a modular function. The Picardtheorem. Exercises.Chapter 17: H^p-Spaces:Subharmonic functions . The spaces H^p and N. The theorem of F.and M. Riesz. Factorization theorems. The shift operator. Conjugatefunctions. Exercises.Chapter 18: Elementary Theory of Banach Algebras:Introduction. The invertible elements. Ideals and homomorphisms.Applications. Exercises.Chapter 19: Holomorphic Fourier Transforms:Introduction. Two theorems of Paley and Wiener. Quasi-analyticclasses. The Denjoy-Carleman theorem. Exercises.Chapter 20: Uniform Approximation by Polynomials:Introduction. Some lemmas. Mergelyan’s theorem. Exercises.Appendix:Hausdorff’s Maximality Theorem. Notes and Comments. Bibliography.List of Special Symbols. IndexInternational EditionCOMPLEX ANALYSISThird EditionBy Lars Ahlfors, Harvard University1979 / 336 pagesISBN: 978-0-07-000657-7ISBN: 978-0-07-085008-8 [IE]CONTENTSChapter 1: Complex Numbers:1 The Algebra of Complex Numbers.2 The Geometric Representation of Complex Numbers.Chapter 2: Complex Functions:1 Introduction to the Concept of Analytic Function.2 Elementary Theory of Power Series.3 The Exponential and Trigonometric Functions.Chapter 3: Analytic Functions as Mappings:1 Elementary Point Set Topology.2 Conformality.3 Linear Transformations.4 Elementary Conformal Mappings.Chapter 4: Complex Integration:1 Fundamental Theorems.2 Cauchy’s Theorem for a Rectangle.3 Local Properties of Analytical Functions.4 The General Form of Cauchy’s Theorem.5 The Calculus of Residues.6 Harmonic Functions.Chapter 5: Series and Product Developments:1 Power Series Expansions.2 Partial Fractions and Factorization.3 Entire Functions.4 The Riemann Zeta Function.5 Normal Families.Chapter 6: Conformal Mapping, Dirichlet’s Problem:1 The Riemann Mapping Theorem.2 Conformal Mapping of Polygons.3 A Closer Look at Harmonic Functions.4 The Dirichlet Problem.5 Canonical Mappings of Multiply Connected Regions.Chapter 7: Elliptic Functions:1 Simply Periodic Functions.2 Doubly Periodic Functions.3 The Weierstrass Theory.Chapter 8: Global Analytic Functions:1 Analytic Continuation.2 Algebraic Functions.3 Picard’s Theorem.4 Linear Differential Equations.IndexCOMPLEX VARIABLES DEMYSTIFIEDby David McMahon2009 / Softcover / 275 pagesISBN: 978-0-07-154920-2A Schaum’s PublicationReady to learn the fundamentals of complex variables but can’t seemto get your brain to function on the right level? No problem! Add ComplexVariables Demystifi ed to the equation and you’ll exponentiallyincrease your chances of understanding this fascinating subject.Written in an easy-to-follow format, this book begins by coveringcomplex numbers, functions, limits, and continuity, and the Cauchy-Riemann equations. You’ll delve into sequences, Laurent series,complex integration, and residue theory. Then it’s on to conformalmapping, transformations, and boundary value problems. Hundredsof examples and worked equations make it easy to understand thematerial, and end-of-chapter quizzes and a fi nal exam help reinforcelearning.This fast and easy guide offers:Numerous figures to illustrate key conceptsSample problems with worked solutions Coverage of Cauchy-Riemann equations and the Laplace transform Chapters on the Schwarz-Christoffel transformation and thegamma and zeta functions A time-saving approach to performing better on an exam or atworkSimple enough for a beginner, but challenging enough for an advancedstudent, Complex Variables Demystifi ed is your integral toolfor understanding this essential mathematics topic.CONTENTSPrefaceChapter 1: Complex NumbersChapter 2: Functions, Limits, and ContinuityChapter 3: The Derivative and Analytic FunctionsChapter 4: Elementary FunctionsChapter 5: Sequences and SeriesChapter 6: Complex IntegrationChapter 7: Residue Theory98

HIGHER MATHEMATICSChapter 8: More Complex Integration and the Laplace TransformationChapter 9: Mapping and TransformationsChapter 10: The Schwarz-Christoffel TransformationChapter 11. The Gamma and Zeta FunctionsChapter 12. Boundary Value ProblemsFinal ExamQuiz SolutionsFinal Exam SolutionsBibliographyIndexInternational EditionSCHAUM’S OUTLINE OF COMPLEXVARIABLESBy Murray R Spiegel, formerly of Rensselaer Polytechnic Institute1968 / 320 pagesISBN-13: 978-0-07-060230-4 / MHID: 0-07-060230-1ISBN-13: 978-0-07-099010-4 / MHID: 0-07-099010-7[IE, SI Metric] (Out of Print)A Schaum’s Publication(International Edition is not for sale in Japan.)CONTENTSComplex Numbers.Functions.Limits and Continuity.Complex Differentiation and the Cauchy Riemann Equations.Complex Integration and Cauchy’s Theorem.Cauchy’s Integral Formulas and Related Theorems.Infinite Series.Taylor’s and Laurent Series.The Residue Theorem: Evaluation of Integrals and Series.Conformal Mappings.Physical Applications of Conformal Mapping.Special Topics.Functional AnalysisInternational EditionFUNCTIONAL ANALYSISSecond Editionby Walter Rudin, University of Wisc1991/ Hardcover / 448 pagesISBN: 978-0-07-054236-5ISBN: 978-0-07-100944-7 [IE]CONTENTSPreface.PART ONE: GENERAL THEORY1. Topological Vector SpaceIntroductionSeparation propertiesLinear MappingsFinite-dimensional spacesMetrizationBoundedness and continuitySeminorms and local convexityQuotient spacesExamplesExercises2. CompletenessBaire categoryThe Banach-Steinhaus theoremThe open mapping theoremThe closed graph theoremBilinear mappingsExercises3. ConvexityThe Hahn-Banach theoremsWeak topologiesCompact convex setsVector-valued integrationHolomorphic functionsExercises4. Duality in Banach SpacesThe normed dual of a normed spaceAdjointsCompact operatorsExercises5. Some ApplicationsA continuity theoremClosed subspaces of Lp-spacesThe range of a vector-valued measureA generalized Stone-Weierstrass theoremTwo interpolation theoremsKakutani’s fixed point theoremHaar measure on compact groupsUncomplemented subspacesSums of Poisson kernelsTwo more fixed point theoremsExercisesPART TWO: DISTRIBUTIONS AND FOURIER TRANSFORMS6. Test Functions and DistributionsIntroductionTest function spacesCalculus with distributionsLocalizationSupports of distributionsDistributions as derivativesConvolutionsExercises99

HIGHER MATHEMATICS7. Fourier TransformsBasic propertiesTempered distributionsPaley-Wiener theoremsSobolev’s lemmaExercises8. Applications to Differential EquationsFundamental solutionsElliptic equationsExercises9. Tauberian TheoryWiener’s theoremThe prime number theoremThe renewal equationExercisesPART THREE: BANACH ALGEBRAS AND SPECTRAL THEORY10. Banach AlgebrasIntroductionComplex homomorphismsBasic properties of spectraSymbolic calculusThe group of invertible elementsLomonosov’s invariant subspace theoremExercises11. Commutative Banach AlgebrasIdeals and homomorphismsGelfand transformsInvolutionsApplications to noncommutative algebrasPositive functionalsExercises12. Bounded Operators on a <strong>Hill</strong>bert SpaceBasic factsBounded operatorsA commutativity theoremResolutions of the identityThe spectral theoremEigenvalues of normal operatorsPositive operators and square rootsThe group of invertible operatorsA characterization of B*-algebrasAn ergodic theoremExercises13. Unbounded OperatorsIntroductionGraphs and symmetric operatorsThe Cayley transformResolutions of the identityThe spectral theoremSemigroups of operatorsExercisesAppendix A: Compactness and ContinuityAppendix B: Notes and CommentsBibliographyList of Special SymbolsIndexReal AnalysisInternational EditionREAL AND COMPLEX ANALYSISThird EditionBy Walter Rudin, University of Wisconsin1987 / 483 pagesISBN: 978-0-07-054234-1ISBN: 978-0-07-100276-9 [IE]CONTENTSPreface.Prologue: The Exponential Function.Chapter 1: Abstract Integration:Set-theoretic notations and terminology. The concept of measurability.Simple functions. Elementary properties of measures. Arithmetic in[0, infinity]. Integration of positive functions. Integration of complexfunctions. The role played by sets of measure zero. Exercises.Chapter 2: Positive Borel Measures:Vector spaces. Topological preliminaries. The Riesz representationtheorem. Regularity properties of Borel measures. Lebesgue measure.Continuity properties of measurable functions. Exercises.Chapter 3: L^p-Spaces:Convex functions and inequalities. The L^p-spaces. Approximationby continuous functions. Exercises.Chapter 4: Elementary Hilbert Space Theory:Inner products and linear functionals. Orthonormal sets. Trigonometricseries. Exercises.Chapter 5: Examples of Banach Space Techniques:Banach spaces. Consequences of Baire’s theorem. Fourier seriesof continuous functions. Fourier coefficients of L-functions. TheHahn-Banach theorem. An abstract approach to the Poisson integral.Exercises.Chapter 6: Complex Measures:Total variation. Absolute continuity. Consequences of the Radon-Nikodym theorem. Bounded linear functionals on L^p. The Rieszrepresentation theorem. Exercises.Chapter 7: Differentiation:Derivatives of measures. The fundamental theorem of Calculus. Differentiabletransformations. Exercises.Chapter 8: Integration on Product Spaces:Measurability on cartesian products. Product measures. The Fubinitheorem. Completion of product measures. Convolutions. Distributionfunctions. Exercises.Chapter 9: Fourier Transforms:Formal properties. The inversion theorem. The Plancherel theorem.The Banach algebra L. Exercises.Chapter 10: Elementary Properties of Holomorphic Functions:Complex differentiation. Integration over paths. The local Cauchy theorem.The power series representation. The open mapping theorem.The global Cauchy theorem. The calculus of residues. Exercises.Chapter 11: Harmonic Functions:The Cauchy-Riemann equations. The Poisson integral. The meanvalue property. Boundary behavior of Poisson integrals. Representationtheorems. Exercises.Chapter 12: The Maximum Modulus Principle:Introduction. The Schwarz lemma. The Phragmen-Lindel’s Method.An interpolation theorem. A converse of the maximum modulustheorem. Exercises.Chapter 13: Approximation by Rational Functions:Preparation. Runge’s theorem. The Mittag-Leffler theorem. Simplyconnected regions. Exercises.Chapter 14: Conformal Mapping:Preservation of angles. Linear fractional transformations. Normalfamilies. The Riemann mapping theorem. The class. Continuity at the100

HIGHER MATHEMATICSboundary. Conformal mapping of an annulus. Exercises.Chapter 15: Zeros of Holomorphic Functions:Infinite Products. The Weierstrass factorization theorem. An interpolationproblem. Jensen’s formula. Blaschke products. The M’zastheorem. Exercises.Chapter 16: Analytic Continuation:Regular points and singular points. Continuation along curves. Themonodromy theorem. Construction of a modular function. The Picardtheorem. Exercises.Chapter 17: H^p-Spaces:Subharmonic functions . The spaces H^p and N. The theorem of F.and M. Riesz. Factorization theorems. The shift operator. Conjugatefunctions. Exercises.Chapter 18: Elementary Theory of Banach Algebras:Introduction. The invertible elements. Ideals and homomorphisms.Applications. Exercises.Chapter 19: Holomorphic Fourier Transforms:Introduction. Two theorems of Paley and Wiener. Quasi-analyticclasses. The Denjoy-Carleman theorem. Exercises.Chapter 20: Uniform Approximation by Polynomials:Introduction. Some lemmas. Mergelyan’s theorem. Exercises.Appendix:Hausdorff’s Maximality Theorem. Notes and Comments. Bibliography.List of Special Symbols. IndexTopologyInternational EditionTOPOLOGYBy Sheldon W Davis, Miami University—Oxford2005 / 448 pageISBN: 978-0-07-291006-3 (Out-of-Print)ISBN: 978-0-07-124339-1 [IE]A volume in the Walter Rudin Student Series.CONTENTS1 Sets, Functions, Notation:Cantor-Bernstein Theorem.Countable Set.2 Metric Spaces:Topology Generated by a Metric.Complete Metric Space.Cantor Intersection Theorem.Baire Category Theorem.3 Continuity:Banach Fixed Point Theorem.4 Topological Spaces:Subspace Topology.Continuous Function.Base.Sorgenfrey Line.Lindel? Theorem.5 Basic Constructions:Products.Product Topology.6 Separation Axioms: Hausdorff.Regular Normal.Urysohn’s Lemma.Tietze Extension Theorem.7 Compactness:Heine-Borel Theorem.Tychonoff Theorem.Lebesgue Number.8 Local Compactness:One-Point Compactification.9 Connectivity:Intermediate Value Theorem.Connected Subspaces.Products of Connected Spaces.Components.10 Other Types of Connectivity:Pathwise Connected.Locally Pathwise Connected.Locally Connected.11 Continua:Irreducible: Cut Point.Moore’s Characterization of [0, 1].12 Homotopy:Contractible Space.Fundamental Group.SCHAUM’S OUTLINE OF GENERALTOPOLOGYBy Seymour Lipschutz, Temple University1986 / 256 pagesISBN: 978-0-07-037988-6A Schaum’s PublicationCONTENTSSets and Relations.Functions.Cardinality, Order.Topology of the Line and Plane.Topological Spaces.Definitions.Bases and Subbases.Continuity and Topological Equivalence.Metric and Normed Spaces.Countability.Separation Axioms.Compactness.Product Spaces.Connectedness.Complete Metric Spaces.Function Spaces.Appendix.Properties of the Real Numbers.101

HIGHER MATHEMATICSMathematical ReferencesSCHAUM’S OUTLINE OF MATHEMATICALHANDBOOK OF FORMULAS AND TABLESThird Editionby Murray R. Spiegel (deceased), Seymour Lipschutz, Temple Universityphiladelphia,and John Liu, University of Maryland2008 / Softcover / 312 pagesISBN: 978-0-07-154855-7A Schaum’s PublicationThis third edition covers elementary concepts in algebra, geometry,etc. and more advanced concepts in differential equations and vectoranalysis. It also expands its section on Probability and Statistics andincludes a new section on Financial Mathematics to keep up with thecurrent developments in finance studies as well as in the studies ofmath and the sciences.CONTENTSFormulas:1. Elementary Constants, Products, Formulas2. Geometry3. Elementary Transcendental Functions4. Calculus5. Differential Equations and Vector Analysis6. Series7. Special Functions and Polynomials8. Laplace and Fourier Transforms9. Elliptic and Miscellaneous Special Functions10. Inequalities and Infinite Products11. Probability and Statistics12. Numerical MethodsTables:1. Logarithmic, Trigonometric, Exponential Functions2. Factorial and Gamma Function, Binomial Coefficients3. Bessel Functions4. Legendre Polynomials5. Elliptic Integrals6. Financial Tables7. Probability and StatisticsSCHAUM’S EASY OUTLINES:MATHEMATICAL HANDBOOK OFFORMULAS AND TABLESBy Murray R Spiegel, Rensselaer Polytechnic Institute, and John Liu,Temple University2001 / 144 pagesISBN-13: 978-0-07-136974-9A Schaum’s PublicationCONTENTSPart 1: Formulas.Section 1: Elementary Constants, Products, Formulas.Section 2: Geometry.Section 3: Elementary Transcendental Functions.Section 4: Calculus.Section 5: Differential Equations.Section 6: Series.Section 7: Vector Analysis.Part 2: Tables.Section 8: Factorial n.Section 9: Conversion of Radians to Degrees, Minutes, and Seconds.Section 10: Conversion of Degrees, Minutes, and Seconds to Radians.Section 11: Sin x.Section 12: Cos x.Section 13: Tan x.Section 14: Natural or Naperian Logarithms log x or In x.Section 15: Exponential Functions e.INVITATION TO PUBLISH<strong>McGraw</strong>-<strong>Hill</strong> is interested inreviewing textbook proposal forpublication. Please contact yourlocal <strong>McGraw</strong>-<strong>Hill</strong> office or email toasiapub@mcgraw-hill.comVisit <strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)Website: www.mheducation.asiaCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia102

STATISTICS ANDPROBABILITYAdvanced Statistics ..........................................................................................113Applied Statistics - Education, Psychology and Social Science ....................... 111Applied Statistics - Engineering ........................................................................ 111Statistics and Probability (Calculus) .................................................................109Statistics and Probabilitty (Non-Calculus) ........................................................105103

NEW TITLESSTATISTICS AND PROBABILITY2009 Author ISBN-13 PageElementary Statistics: A Step by Step Approach, 7e Bluman 9780077302351 105104

STATISTICS AND PROBABILITYStatistics And Probability(Non-calculus)NEWInternational EditionELEMENTARY STATISTICS:A Step By Step ApproachSeventh Editionby Allan G. Bluman, Cc Of Alleghney County South2009 / HardcoverISBN: 978-0-07-730235-1ISBN: 978-0-07-009180-1 [IE with formula card and Data CD]Browse http://www.mhhe.com/blumanELEMENTARY STATISTICS: A STEP BY STEP APPROACH is forgeneral beginning statistics courses with a basic algebra prerequisite.The book is non-theoretical, explaining concepts intuitively andteaching problem solving through worked examples and step-bystepinstructions. This edition places more emphasis on conceptualunderstanding and understanding results. This edition also featuresincreased emphasis on Excel, MINITAB, and the TI-83 Plus and TI-84Plus graphing calculators; computing technologies commonly usedin such courses.NEW TO THIS EDITION Excel Technology Step by Step Boxes - These have been updatedto reflect Excel 2007. Z tests and T tests - When s or s1, and s2 are known, the Z testsare used in hypothesis testing. When s or s1, and s2 are unknown,the T tests are used in hypothesis testing. Data Projects - These are all new and are specific to the areasof Business and Finance, Sports and Leisure, Technology, Health andWellness, Politics and Economics, and The Classroom. Technology Answers - The answers in the answer appendix nowinclude solutions based on the use of tables as well as solutions withanswers derived from technology (calculator, Minitab, Excel, etc.)when there are discrepancies. The cumulative standard normal distribution is used throughoutthe book.FEATURES Critical Thinking Challenges - These problems extend the materialin the chapter and are subsequently solved using the statisticaltechniques presented in the chapter. Procedure Tables - These boxes embody the book’s step bystep approach and summarize methods for solving various types ofcommon problems. Worked examples include EVERY step. Speaking of Statistics - These sections invite students to thinkabout poll results and other statistics-related news stories and applywhat they have learned. Statistics Today - The outline and learning objectives of eachchapter are followed by Statistics Today, a real-life problem that showsstudents the relevance of the chapter’s topic. Applying the Concepts - This feature can be used for homeworkassignments or used as topics for in-class discussion or groupwork.CONTENTS1 The Nature of Probability and Statistics2 Frequency Distributions and Graphs3 Data Description4 Probability and Counting Rules5 Discrete Probability Distributions6 The Normal Distribution7 Confidence Intervals and Sample Size8 Hypothesis Testing9 Testing the Difference Between Two Means, Two Variances, andTwo Proportions10 Correlation and Regression11 Other Chi-Square Tests12 Analysis of Variance13 Nonparametric Statistics14 Sampling and SimulationAppendix A: Algebra ReviewAppendix B-1: Writing the Research ReportAppendix B-2: Bayes’ TheoremAppendix B-3: Alternate Approach to the Standard Normal DistributionAppendix C: TablesAppendix D: Data BankAppendix E: GlossaryAppendix F: BibliographyAppendix G: Photo CreditsAppendix H: Selected AnswersInternational EditionELEMENTARY STATISTICSA BRIEF VERSIONFourth EditionBy Allan G Bluman, Community College of Allegheny County-South2008 (September 2006) / 736 pagesISBN: 978-0-07-331265-1 (with Math Zone) - Out-of-PrintISBN: 978-0-07-334714-1 (with Data Disk)ISBN: 978-0-07-128610-7 [IE with formula card and MathZone]ISBN: 978-0-07-128487-5 [IE with data disk and formula card]Browse http://www.mhhe.com/blumanElementary Statistics: A Brief Version, 4th Edition is a shorter versionof Allan Bluman’s popular text Elementary Statistics: A Step byStep Approach, 6th edition. This softcover edition includes all thefeatures of the longer book, but is designed for a course in whichthe time available limits the number of topics covered. The book iswritten for general beginning statistics courses with a basic algebraprerequisite. The book use a non-theoretical approach, explainingconcepts intuitively and teaching problem solving through workedexamples step-by-step.CONTENTSPreface1: The Nature of Probability and Statistics1.1 Introduction1.2 Descriptive and Inferential Statistics1.3 Variables and Types of Data1.4 Data Collection and Sampling Techniques1.5 Observational and Experimental Studies1.6 Uses and Misuses of Statistics1.7 Computers and Calculators1.8 Summary105

STATISTICS AND PROBABILITY2: Frequency Distributions and Graphs2.1 Introduction2.2 Organizing Data2.3 Histograms, Frequency Polygons, and Ogives2.4 Other Types of Graphs2.5 Paired Data and Scatter Plots Ana2.6 Summary3: Data Description3.1 Introduction3.2 Measures of Central Tendency3.3 Measures of Variation3.4 Measures of Position3.5 Exploratory Data Analysis3.6 Summary4: Probability and Counting Rules4.1 Introduction4.2 Sample Spaces and Probability4.3 The Addition Rules for Probability4.4 The Multiplication Rules and Conditional Probability4.5 Counting Rules4.6 Probability and Counting Rules4.7 Summary5: Discrete Probability Distributions5.1 Introduction5.2 Probability Distributions5.3 Mean, Variance, Standard Deviation, and Expectation5.4 The Binomial Distribution5.5 Summary6: The Normal Distribution6.1 Introduction6.2 Properties of the Normal Distribution6.3 The Standard Normal Distribution6.4 Applications of the Normal Distribution6.5 The Central Limit Theorem6.6 The Normal Approximation to the Binomial Distribution6.7 Summary7: Confidence Intervals and Sample Size7.1 Introduction7.2 Confidence Intervals for the Mean (Sigma Known or n > 30) andSample Size7.3 Confidence Intervals for the Mean (Sigma Unknown and n

STATISTICS AND PROBABILITYInternational EditionSTATISTICS: A FIRST COURSESixth EditionBy Donald H. Sanders, Education Consultant and Robert Smidt,California Polytechnic State University - San Luis Obispo2000 / 736 pagesISBN: 978-0-07-233217-9 (with CD-ROM) - Out-of-PrintISBN: 978-0-07-116984-4 [IE with CD-ROM]CONTENTSLet’s Get Started.Looking Ahead.Looking BackReview ExercisesTopics For Review And DiscussionProjectsIssues To ConsiderComputer Exercises.Descriptive Statistics.Probability Concepts.Probability Distributions.Sampling Concepts.Estimating Parameters.Testing Hypotheses: One Sample Procedures.Inference: Two-Sample Procedures.Analysis of Variance.Chi-Square Tests: Goodness-of-Fit and Contingency Table Methods.Linear Regression and Correlation.Nonparametric Statistical Methods.Appendices.Selected Values of the Binomial Probability Distribution.Areas under the Standard Normal Probability Distribution.A Brief Table of Random Numbers.Areas for t Distributions.F Distribution Tables.Chi-Square Distribution.Critical Values of T for Level of Significance = .05 and Level of Significance= .01 in the Wilcoxon Signed Rank Test.Distribution of U in the Mann-Whitney Test.Critical Values for r in the Runs Test for Randomness.Selected Values of the Poisson Probability Distribution.Entering and Editing Data in Minitab.Answers to Odd-Numbered Exercises.SCHAUM’S OUTLINE OF PROBABILITY ANDSTATISTICSThird Editionby Murray R. Spiegel (deceased), John J. Schiller, R. Alu Srinivasan,Temple University2009 / Softcover / 432 pagesISBN: 978-0-07-154425-2A Schaum’s PublicationThis Schaum’s Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your coursefieldIn-depth review of practices and applicationsFully compatible with your classroom text, Schaum’s highlights allthe important facts you need to know. Use Schaum’s to shorten yourstudy time-and get your best test scores!CONTENTSPart I: Probability1. Basic Probability2. Random Variables and Probability Distributions3. Mathematical Expectation4. Special Probability DistributionsPart II: Statistics5. Sampling Theory6. Estimation Theory7. Tests of Hypotheses and Significance8. Curve Fitting, Regression, and Correlation9. Analysis of Variance10. Nonparametric Tests11. Bayesian MethodsSCHAUM’S OUTLINE OF STATISTICSFourth EditionBy Murray Spiegel (deceased) and Larry J Stephens, University of Nebraska,Omaha2008 (November 2007) / 544 pagesISBN: 978-0-07-148584-5A Schaum’s PublicationThe guides that help students study faster, learn better-and gettop grades. Updated to match the latest developments in the fi eld ofstatistics, this new edition includes dozens of new problems showingoutput from EXCEL, SAS, SPSS, STATISTIX, and MINITAB, all ofwhich are in general use for in college courses on statistics.INVITATION TO PUBLISH<strong>McGraw</strong>-<strong>Hill</strong> is interested inreviewing textbook proposal forpublication. Please contact yourlocal <strong>McGraw</strong>-<strong>Hill</strong> office or email toasiapub@mcgraw-hill.comVisit <strong>McGraw</strong>-<strong>Hill</strong> Education (Asia)Website: www.mheducation.asiaSCHAUM’S OUTLINE OF BEGINNINGSTATISTICSSecond EditionBy Larry Stephens, University of Nebraska, Omaha2006 (December 2005) / 416 pagesISBN: 978-0-07-145932-7A Schaum’s PublicationThis study tool is ideal if you wish to master the basics for an introductorycourse or solo study. This new edition includes output fromExcel, SAS, SPSS, STATISTIX, and MINITAB, all of which are nowin general use for college courses on statistics at this level. It willalso include up-to-date statistical examples taken from the latestmedia sources.107

STATISTICS AND PROBABILITYSCHAUM’S EASY OUTLINE OF BUSINESSSTATISTICSBy Leonard J. Kazmier, Arizona State University2003 / 160 pagesISBN: 978-0-07-139876-3A Schaum’s PublicationCONTENTSChapter 1: Analyzing Business DataChapter 2: Statistical Presentations and Graphical AnalysisChapter 3: Describing Business Data: Measures of LocationChapter 4: Describing Business Data: Measures of VariabilityChapter 5: ProbabilityChapter 6: Probability Distributions for Discrete Random VariablesChapter 7: Probability Distributions for Continuous Random VariablesChapter 8: Sampling Distributions and Confidence Intervals for theMeanChapter 9: Other Confidence IntervalsChapter 10: Testing Hypotheses Concerning the Value of the PopulationMeanChapter 11: Testing Other HypothesesChapter 12: The Chi-Square TestChapter 13: Analysis of VarianceChapter 14: Linear Regression and Correlation AnalysisChapter 15: Multiple Regression and CorrelationChapter 16: Time Series Analysis and Business ForecastingChapter 17: Index Numbers for Business and Economic DataChapter 18: Decision Analysis: Payoff Tables And Decision TreesChapter 19: Decision Analysis: The Use of the Sample InformationChapter 20: Statistical Process ControlChapter 21: Nonparametric StatisticsAppendicesSCHAUM’S OUTLINE OF ELEMENTS OFSTATISTICS IIInferential StatisticsBy Stephen Bernstein and Ruth Bernstein, University of Colorado2000 / 480 pagesISBN: 978-0-07-134637-5A Schaum’s PublicationInternational EditionSCHAUM’S OUTLINE OF PROBABILITYSecond EditionBy Seymour Lipschutz, Temple University2000 / 224 pagesISBN: 978-0-07-135203-1ISBN: 978-0-07-118356-7 [IE]A Schaum’s Publication(International Edition is not for sale in Japan.)SCHAUM’S EASY OUTLINES: STATISTICSBy Murray R Spiegel (Deceased) and David P. Lindstrom2000 / 138 pagesISBN: 978-0-07-052712-6A Schaum’s PublicationCONTENTSVariables and Graphs.Measures of Central Tendency and Dispersion.Elementary Probability Theory.The Binomial, Normal, and Poisson Distributions.Elementary Sampling Theory.Statistical Estimation Theory.Statistical Decision Theory.Small Sampling Theory.The Chi-Square Test.Curve Fitting and the Method of Least Squares.Correlation Theory.Multiple and Partial Correlation.Analysis of Variance.Nonparametric Tests.Appendices:A: Areas Under the Standard Normal Curve.B: Student’s t Distribution.C: Chi-Square Distribution.D: 99th Percentile Values for the F DistributionInternational EditionSCHAUM’S OUTLINE OF ELEMENTS OFSTATISTICS IDifferential Statistics and ProbabilityBy Stephen Bernstein and Ruth Bernstein, University of Colorado1999 / 368 pagesISBN: 978-0-07-005023-5ISBN: 978-0-07-116059-9 [IE]A Schaum’s PublicationCONTENTSMathematics Required for Statistics.Characteristics of the Data.Populations, Samples, and Statistics.Descriptive Statistics: Organizing the Data Into Tables.Descriptive Statistics: Graphing the Data.Descriptive Statistics: Measures of Central Tendency, Average Value,and Location.Descriptive Statistics: Measures of Dispersion.Probability: The Classical, Relative Frequency, Set Theory, andSubjective Interpretations.Probability: Rules for Multiplication and Division, Marginal Probabilitiesand Bayes’ Theorem, Tree Diagrams and Counting Rules.Random Variables, Probability Distributions, Cumulative DistributionFunctions, and Expected Values.CONTENTSSet Theory.Techniques of Counting.Introduction to Probability.Conditional Probability and Independence.Random Variables.Binomial, Normal and Poisson Distributions.Markov Chains.Appendices: Descriptive Statistics.Chi-Square Distribution.108

STATISTICS AND PROBABILITYSCHAUM’S OUTLINE OF INTRODUCTIONTO PROBABILITY AND STATISTICSBy Seymour Lipschutz and Jack Schiller, Temple University1998 / 384 pagesISBN-13: 978-0-07-038084-4A Schaum’s PublicationCONTENTSPart I: Descriptive Statistics and Probability.Preliminary: Descriptive Statistics.Sets and Counting.Basic Probability.Conditional Probability and Independence.Random Variables.Binomial and Normal Distributions.Part II: Inferential Statistics.Sampling Distributions.Confidence Intervals for A Single Population.Hypotheses Tests for A Single Population.Inference for Two Populations.Chi-Square Tests and Analysis of Variance.International EditionSCHAUM’S OUTLINE OF SET THEORY ANDRELATED TOPICSSecond EditionBy Seymour Lipschutz, Temple University1998 / 200 pagesISBN: 978-0-07-038159-9ISBN: 978-0-07-116494-8 [IE] - (Out-of-Print)A Schaum’s Publication(International Edition is not for sale in Japan.)CONTENTSSets and Subsets.Basic Set Operators.Sets of Numbers.Functions.Product Sets and Graphs of Functions.Relations.Further Theory of Sets.Further Theory of Functions, Operations.Cardinal Numbers.Partially and Totally Ordered Sets.Well-Ordered Sets/Ordinal Numbers.Axiom of Choice.Paradoxes in Set Theory.Algebra of Propositions.Quantifiers.Boolean Algebra.Logical Reasoning.Statistics And Probability(Calculus)International EditionINTRODUCTION TO PROBABILITY ANDSTATISTICSPrinciples and Applications for Engineeringand the Computing SciencesFourth EditionBy J Susan Milton, Emeritus, Radford University and Jesse C Arnold,Virginia Polytechnic Institute2003 / 816 pagesISBN-13: 978-0-07-246836-6ISBN-13: 978-0-07-124248-6 [IE, 2-colour Text]ISBN-13: 978-0-07-119859-2 [IE]http://www.mhhe.com/miltonarnoldCONTENTS1 Introduction to Probability and Counting:Interpreting Probabilities.Sample Spaces and Events.Permutations and Combinations.2 Some Probability Laws.Axioms of Probability.Conditional Probability.Independence and the Multiplication Rule.Bayes’ Theorem.3 Discrete Distributions.Random Variables.Discrete Probablility Densities.Expectation and Distribution Parameters.Geometric Distribution and the Moment Generating Function.Binomial Distribution.Negative Binomial Distribution.Hypergeometric Distribution.Poisson Distribution.4 Continuous Distributions.Continuous Densities.Expectation and Distribution Parameters.Gamma Distribution.Normal Distri-bution.Normal Probability Rule and Chebyshev’s Inequality.Normal Approximation to the Binomial Distribution.Weibull Distribution and Reliability.Transformation of Variables.Simulating a Continuous Distribution.5 Joint Distributions.Joint Densities and Independence.Expectation and Covariance.Correlation.Conditional Densities and Regression.Transformation of Variables.6 Descriptive Statistics.Random Sampling.Picturing the Distribution.Sample Statistics.Boxplots.7 Estimation.Point Estimation.The Method of Moments and Maximum Likelihood.Functions of Random Variables - Distribution of X.Interval Estimation and the Central Limit Theorem.8 Inferences on the Mean and Variance of a Distribution.109

STATISTICS AND PROBABILITYInterval Estimation of Variability.Estimating the Mean and the Student-t Distribution.Hypothesis Testing.Significance Testing.Hypothesis and Significance Tests on the Mean.Hypothesis Tests.Alternative Nonparametric Methods.9 Inferences on Proportions.Estimating Proportions.Testing Hypothesis on a Proportion.Comparing Two Proportions: Estimation.Coparing Two Proportions: Hypothesis Testing.10 Comparing Two Means and Two Variances.Point Estimation.Comparing Variances: The F Distribution.Comparing Means: Variances Equal (Pooled Test).Comparing Means: Variances Unequal.Compairing Means: Paried Data.Alternative Nonparametric Methods.A Note on Technology.11 Sample Linear Regression and Correlation.Model and Parameter Estimation.Properties of Least-Squares Estimators.Confidence Interval Estimation and Hypothesis Testing.Repeated Measurements and Lack of Fit.Residual Analysis.Correlation.12 Multiple Linear Regression Models.Least-Squares Procedures for Model Fitting.A Matrix Approach to Least Squares.Properties of the Least-Squares Estimators.Interval Estimation.Testing Hypotheses about Model Parameters.Use of Indicator or “Dummy” Variables.Criteria for Variable Selection.Model Transformation and Concluding Remarks.13 Analysis of Variance.One-Way Classification Fixed-Effects Model.Comparing Variances.Pairwise Comparison.Testing Contrasts.Randomized Complete Block Design.Latin Squares.Random-Effects Models.Design Models in Matrix Form.Alternative Nonparametric Methods.14 Factorial Experiments.Two-Factor Analysis of Variance.Extension to Three Factors.Random and Mixed Model Factorial Experiments.2^k Factorial Experiments.2^k Factorial Experiments in an Incomplete Block Design.Fractional Factorial Experiments.15 Categorical Data.Multinomial Distribution.Chi-Squared Goodness of Fit Tests.Testing for Independence.Comparing Proportions.16 Statistical Quality Control.Properties of Control Charts.Shewart Control Charts for Measurements.Shewart Control Charts for Attributes.Tolerance Limits.Acceptance Sampling.Two-Stage Acceptance Sampling.Extensions in Quality Control.Appendix A Statistical Tables.Appendix B Answers to Selected Problems.Appendix C Selected DerivationsInternational EditionINTRODUCTION TO THE THEORY OFSTATISTICSThird EditionBy Alexander M. Mood, University of California, Irvine Franklin A. Graybill,Duane C. Boes, both of Colorado State University1974 / 480 pagesISBN: 978-0-07-042864-5 (Out-of-Print)ISBN: 978-0-07-085465-9 [IE]SCHAUM’S OUTLINE OF PROBABILITY ANDSTATISTICSThird EditionBy John J Schiller, R Alu Srinivasan, Temple University2009 (July 2008) / 399 pagesISBN: 978-0-07-154425-2A Schaum’s PublicationA classic Schaum’s bestseller, thoroughly updated to match the latestcourse scope and sequence. The ideal review for the hundreds ofthousands of college and high school students who enroll in probabilityand statistics courses.CONTENTSPart I: Probability1. Basic Probability2. Random Variables and Probability Distributions3. Mathematical Expectation4. Special Probability DistributionsPart II: Statistics5. Sampling Theory6. Estimation Theory7. Tests of Hypotheses and Significance8. Curve Fitting, Regression, and Correlation9. Analysis of Variance10. Nonparametric TestsCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia110

STATISTICS AND PROBABILITYApplied Statistics –Education, Psychologyand Soical ScienceSCHAUM’S OUTLINE OF STATISTICS INPSYCHOLOGYby Larry J. Stephens, University of Nebraska, Omaha2009 / Softcover / 288 pagesISBN: 978-0-07-154599-0A Schaum’s PublicationSchaum’s Outline of Statistics in Psychology helps students to understandbasic concepts and offers extra practice on such topics asfrequency distributions, central tendency, inferential statistics, probabilityand samples, z scores, the t-Test, correlations, and nonparametrictests. Coverage will also include the design of experiments andsurveys, their execution, and the statistical tasks required to makesense of the date obtained using these techniques. A special section oncomputer-use for particular statistical tasks has also been included.SPSS SURVIVAL MANUALThird EditionBy Julie Pallant, University of Melbourn2007 (August 2007) / 352 pagesISBN: 978-0-335-22366-4Open University Press TitleIn this fully revised edition of her bestselling text, Julie Pallant guidesyou through the entire research process, helping you choose theright data analysis technique for your project. From the formulation ofresearch questions, to the design of the study and analysis of data, toreporting the results, Julie discusses basic and advanced statisticaltechniques. She outlines each technique clearly, with step-by-stepprocedures for performing the analysis, a detailed guide to interpretingSPSS output and an example of how to present the results in areport. For both beginners and experienced SPSS users in psychology,sociology, health sciences, medicine, education, business andrelated disciplines, the SPSS Survival Manual is an essential guide.Illustrated with screen grabs, examples of output and tips, it is supportedby a website with sample data and guidelines on report writing.In this third edition all chapters have been updated to accommodatechanges to SPSS procedures, screens and output in version 15. Anew fl owchart is included for SPSS procedures, and factor analysisprocedures have been streamlined. It also includes more examplesand material on syntax. Additional data fi les are available on thebooks’s supporting website.CONTENTSPrefaceData files and websiteIntroduction & overviewPart One: Getting StartedDesigning a studyPreparing a codebookGetting to know SPSSPart Two: Preparing The Data FileCreating a data file and entering dataScreening and cleaning the dataPart Three: Preliminary AnalysesDescriptive statisticsUsing graphs to describe and explore the dataManipulating the dataChecking the reliability of a scaleChoosing the right statisticPart Four: Statistical Techniques To Explore RelationshipsAmong VariablesCorrelationPartial correlationMultiple regressionLogistic regressionFactor analysisPart Five: Statistical Techniques To Compare GroupsNon-parametric statisticsT-testsOne-way analysis of varianceTwo-way between-groups ANOVAMixed between-within subjects analysis of varianceMultivariate analysis of varianceAnalysis of covarianceAppendix: Details of data filesRecommended readingReferencesIndexApplied Statistics– EngineeringInternational EditionSTATISTICS FOR ENGINEERS ANDSCIENTISTSSecond EditionBy William Navidi, Colorado School of Mines2008 (Janurary 2007) / 675 pagesISBN: 978-0-07-330949-1ISBN: 978-0-07-110022-3 [IE]Browse http://www.mhhe.com/navidi2The second edition of this book is intended to extend the strengthsof the fi rst. Some of the changes are:••••••More than 200 new exercises have been added.A new section on point estimation has been added to Chapter 4.The material on histograms in Chapter 1 has been completelyrevised.Chapter 2 now contains a discussion of Chebyshev’s inequality.Chapter 4 now contains a discussion of the uniform distribution.The section on the normal distribution contains a discussion onlinear functions of normal random variables.Chapter 7 contains additional material on the correlation coefficient.Chapter 10 contains a discussion of the relationship betweencontrol charts and hypothesis tests.The exposition has been improved in a number of places.•••Also new for this edition is the ARIS online course managementsystem. ARIS provides automatic grading of student assignmentsand keeps a record of students’ grades. In addition, ARIS containsproblems for student practice, along with Java applets that allowstudents to interactively explore ideas in the text. CustomizablePowerPoint lecture notes for each chapter are available as well,along with suggested syllabi, and other features. More informationcan be found at aris.mhhe.com. About the Author William Navidi isProfessor of Mathematical and Computer Sciences at the ColoradoSchool of Mines. He received the B.A. degree in mathematics fromNew College, the M.A. in mathematics from Michigan State University,and the Ph.D. in statistics from the University of Californiaat Berkeley. Professor Navidi has authored more than 50 research111

STATISTICS AND PROBABILITYpapers both in statistical theory and in a wide variety of applicationsincludingcomputer networks, epidemiology, molecular biology, chemicalengineering, and geophysics.CONTENTS1 Sampling and Descriptive Statistics2 Probability3 Propagation of Error4 Commonly Used Distributions5 Confidence Intervals6 Hypothesis Testing7 Correlation and Simple Linear Regression8 Multiple Regression9 Factorial Experiments10 Statistical Quality ControlA TablesB Partial DerivativesC Suggestions for Further Reading Answers to Selected ExercisesIndexInternational EditionINTRODUCTION TO PROBABILITY ANDSTATISTICSPrinciples and Applications for Engineeringand the Computing Sciences,Fourth EditionBy J Susan Milton, Emeritus, Radford University and Jesse C Arnold,Virginia Polytechnic Institute2003 / 816 pagesISBN: 978-0-07-246836-6ISBN: 978-0-07-124248-6 [IE, 2-colour Text]ISBN: 978-0-07-119859-2 [IE]http://www.mhhe.com/miltonarnoldCONTENTS1 Introduction to Probability and Counting:Interpreting Probabilities.Sample Spaces and Events.Permutations and Combinations.2 Some Probability Laws.Axioms of Probability.Conditional Probability.Independence and the Multiplication Rule.Bayes’ Theorem.3 Discrete Distributions.Random Variables.Discrete Probablility Densities.Expectation and Distribution Parameters.Geometric Distribution and the Moment Generating Function.Binomial Distribution.Negative Binomial Distribution.Hypergeometric Distribution.Poisson Distribution.4 Continuous Distributions.Con-tinuous Densities.Expectation and Distribution Parameters.Gamma Distribution.Normal Distri-bution.Normal Probability Rule and Chebyshev’s Inequality.Normal Approximation to the Binomial Distribution.Weibull Distribution and Reliability.Transformation of Variables.Simulating a Continuous Distribution.5 Joint Distributions.Joint Densities and Independence.Expectation and Covariance.Correlation.Conditional Densities and Regression.Transformation of Variables.6 Descriptive Statistics.Random Sampling.Picturing the Distribution.Sample Statistics.Boxplots.7 Estimation.Point Estimation.The Method of Moments and Maximum Likelihood.Functions of Random Variables - Distribution of X.Interval Estimation and the Central Limit Theorem.8 Inferences on the Mean and Variance of a Distribution.Interval Estimation of Variability.Estimating the Mean and the Student-t Distribution.Hypothesis Testing.Significance Testing.Hypothesis and Significance Tests on the Mean.Hypothesis Tests.Alternative Nonparametric Methods.9 Inferences on Proportions.Estimating Proportions.Testing Hypothesis on a Proportion.Comparing Two Proportions: Estimation.Coparing Two Proportions: Hypothesis Testing.10 Comparing Two Means and Two Variances.Point Estimation.Comparing Variances: The F Distribution.Comparing Means: Variances Equal (Pooled Test).Comparing Means: Variances Unequal.Compairing Means: Paried Data.Alternative Nonparametric Methods.A Note on Technology.11 Sample Linear Regression and Correlation.Model and Parameter Estimation.Properties of Least-Squares Estimators.Confidence Interval Estimation and Hypothesis Testing.Repeated Measurements and Lack of Fit.Residual Analysis.Correlation.12 Multiple Linear Regression Models.Least-Squares Procedures for Model Fitting.A Matrix Approach to Least Squares.Properties of the Least-Squares Estimators.Interval Estimation.Testing Hypotheses about Model Parameters.Use of Indicator or “Dummy” Variables.Criteria for Variable Selection.Model Transformation and Concluding Remarks.13 Analysis of Variance.One-Way Classification Fixed-Effects Model.Comparing Variances.Pairwise Comparison.Testing Contrasts.Randomized Complete Block Design.Latin Squares.Random-Effects Models.Design Models in Matrix Form.Alternative Nonparametric Methods.14 Factorial Experiments.Two-Factor Analysis of Variance.Extension to Three Factors.Random and Mixed Model Factorial Experiments.2^k Factorial Experiments.2^k Factorial Experiments in an Incomplete Block Design.Fractional Factorial Experiments.15 Categorical Data.Multinomial Distribution.Chi-Squared Goodness of Fit Tests.Testing for Independence.112

STATISTICS AND PROBABILITYComparing Proportions.16 Statistical Quality Control.Properties of Control Charts.Shewart Control Charts for Measurements.Shewart Control Charts for Attributes.Tolerance Limits.Acceptance Sampling.Two-Stage Acceptance Sampling.Extensions in Quality Control.Appendix A Statistical Tables.Appendix B Answers to Selected Problems.Appendix C Selected DerivationsENGINEERING STATISTICS DEMYSTIFIEDBy Larry J Stephens, University of Nebraska, Omaha2007 (December 2006) / 448 pagesISBN: 978-0-07-146272-3A Professional PublicationClueless? Feel Like a Dummy? Get Demystified!This versatile reference offers solid coverage of the basics of traditionalengineering statistics and also incorporates examples from themost popular statistical software programs, making it equally valuableto professionals.CONTENTSPrefaceAcknowledgmentsChapter 1: Treatment of Data Using EXCEL, MINITAB, SAS, SPSS,and STATISTIXChapter 2: ProbabilityChapter 3: Probability Distributions for Discrete Random VariablesChapter 4: Probability Densities for Continuous Random Variablesand Introduction to MAPLEChapter 5: Sampling DistributionsChapter 6: Inferences Concerning MeansChapter 7: Inferences Concerning VariancesChapter 8: Inferences Concerning ProportionsFinal ExaminationsSolutions To Chapter ExercisesBibliographyIndexAdvanced StatisticsSCHAUM’S OUTLINE OF STATISTICSFourth EditionBy Murray Spiegel (deceased) and Larry J Stephens, University of Nebraska,Omaha2008 (November 2007) / 544 pagesISBN: 978-0-07-148584-5A Schaum’s PublicationThe guides that help students study faster, learn better-and get topgrades. Updated to match the latest developments in the fi eld ofstatistics, this new edition includes dozens of new problems showingoutput from EXCEL, SAS, SPSS, STATISTIX, and MINITAB, all ofwhich are in general use for in college courses on statistics.International EditionAPPLIED LINEAR STATISTICAL MODELSFifth EditionBy Michael H Kutner, Emory University; Christopher J Nachtsheim,University of Minnesota; John Neter, University of Georgia and WilliamLi, University of Minnesota2005 / 1,200 pagesISBN: 978-0-07-310874-2 (with CD)ISBN: 978-0-07-112221-4 [IE with CD]CONTENTSPart 1 Simple Linear Regression:1 Linear Regression with One Predictor Variable.2 Inferences in Regression and Correlation Analysis.3 Diagnostic and Remedial Measures.4 Simultaneous Inferences and Other Topics in Regression Analysis.5 Matrix Approach to Simple Linear Regression Analysis.Part 2 Multiple Linear Regression:6 Multiple Regression I.7 Multiple Regression II.8 Regression Models for Quantitative and Qualitative Predictors.9 Building the Regression Model I: Model Selection and Validation.10 Building the Regression Model II: Diagnostics.11 Building the Regression Model III: Remedial Measures.12 Autocorrelation in Time Series Data.Part 3 Nonlinear Regression:13 Introduction to Nonlinear Regression and Neural Networks.14 Logistic Regression, Poisson Regression, and Generalized LinearModels.Part 4 Design and Analysis of Single-Factor Studies:15 Introduction to the Design of Experimental and ObservationalStudies.16 Single Factor Studies.17 Analysis of Factor-Level Means.18 ANOVA Diagnostics and Remedial Measures.Part 5 Multi-Factor Studies:19 Two Factor Studies with Equal Sample Sizes.20 Two Factor Studies-One Case per Treatment.21 Randomized Complete Block Designs.22 Analysis of Covariance.23 Two Factor Studies with Unequal Sample Sizes.24 MultiFactor Studies.25 Random and Mixed Effects Models.Part 6 Specialized Study Designs:26 Nested Designs, Subsampling, and Partially Nested Designs.27 Repeated Measures and Related Designs.28 Balanced Incomplete Block, Latin Square, and Related Designs.113

STATISTICS AND PROBABILITY29 Exploratory Experiments: Two-Level Factorial and FractionalFactorial Designs.30 Response Surface Methodology.Appendix A: Some Basic Results in Probability and Statistics.Appendix B: Tables.Appendix C: Data Sets.Appendix D: Rules for Develping ANOVA Models and Tables forBalanced Designs.Appendix E: Selected BibliographyInternational EditionLECTURES IN ELEMENTARY PROBABILITYTHEORY AND STOCHASTIC PROCESSESBy Jean-Claude Falmagne2003 / 288 pagesISBN: 978-0-07-244890-0 (Out-of-Print)ISBN: 978-0-07-122975-3 [IE]CONTENTS1 Preliminaries.2 Sample Space and Events.3 Probability and Area.4 Probability Measures.5 Basic Rules of Probability Calculus.6 Sampling.7 Counting Subsets.8 Discrete Distributions.9 Conditional Probabilities.10 Independence and Bayes Theorem.11 The Principle of Maximum Likelihood.12 Random Variables.13 Distribution Functions.14 Continuous Random Variables.15 Expectation and Moments.16 Covariance and Correlation.17 The Law of Large Numbers.18 Moment Generating Functions.19 Multivariate Distributions.20 Bivariate Normal Distributions.21 Finite Markov Chains, Basic Concepts.22 Homogeneous Markov Chains.23 Random Walks.24 Poisson Processes.Solutions and Hints for Selected Problems.Glossary of Symbols.Index. BibliographyCOMPLIMENTARY COPIESComplimentary desk copies are available for courseadoption only. To request for a review copy:• contact your local <strong>McGraw</strong>-<strong>Hill</strong> Representatives• fax the Examination Copy Request Form• email to mghasia_sg@mcgraw-hill.com• submit online at www.mheducation.asiaVisit <strong>McGraw</strong>-<strong>Hill</strong> EducationWebsite: www.mheducation.asia114

TITLE INDEXAAlgebra & Trigonometry, 2e Coburn 52Algebra for College Students, 5e Dugopolski 31Applied and Algorithmic Graph Theory Chartrand 91Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition Hoffmann 63Applied Linear Statistical Models, 5e Kutner 113Applied Mathematics for Business, Economics and the Social Science, 4e Budnick 38Applied Numerical Methods with Matlab for Engineers and Scientists, 2e Chapra 93BBasic College Mathematics, 2e Miller 5Basic College Mathematics, 3e Bello 6Basic Mathematical Skills with Geometry, 7e Hutchison 7Beginning Algebra, 2e Miller 15Beginning Algebra, 7e Hutchison 14Beginning and Intermediate Algebra, 2e Hall 21Beginning and Intermediate Algebra, 2e Messersmith 19Beginning and Intermediate Algebra, 2e Miller 24Bob Miller’s Algebra for the Clueless, 2e Miller 16Business Calculus Demystified Huettenmueller 65CCalculus for Business, Economics, and the Social and Life Sciences, 10e Hoffmann 64Calculus with Mathzone: Early Transcendental Functions, 3e Smith 66Calculus, Single Variable: Late Transcendental Functions, 3e Smith 69Calculus: Concepts and Connections Smith 68Calculus: Late Transcendental Functions, 3e Smith 65Calculus: Multivariable: Early Transcendental Functions, 3e Smith 75Calculus: Multivariable: Late Transcendental Functions, 3e Smith 74Calculus: Single Variable: Early Transcendental Functions, 3e Smith 71College Algebra Essentials, 2e Coburn 48College Algebra, 2e Coburn 47College Algebra, 8e Barnett 50College Algebra: Graphs and Models, 3e Barnett 49Colllege Algebra with Trigonometry, 8e Barnett 53Complex Analysis, 3e Ahlfors 98Complex Variables and Applications, 8e Brown 96Complex Variables Demystified McMahon 98115

TITLE INDEXDDifferential Equations Ang 80Differential Equations with Applications and Historical Notes, 2e Simmons 81Differential Equations: A Modeling Approach Ledder 80Differential Equations: Theory, Technique, and Practice Simmons 79,81Discrete Mathematics and Its Applications, 6e Rosen 41Discrete Mathematics By Example Simpson 42EElementary Algebra, 6e Dugopolski 13Elementary and Intermediate Algebra, 3e Dugopolski 17Elementary and Intermediate Algebra, 3e Hutchison 22Elementary and Intermediate Algebra: Alternate Hardcover Edition, 3e Hutchison 23Elementary Linear Algebra, 2e Nicholson 86Elementary Number Theory, 6e Burton 94Elementary Numerical Analysis: An Algorithmic Approach, 3e Conte 94Elementary Statistics: A Brief Version, 4e Bluman 105Elementary Statistics: A Step By Step Approach, 7e Bluman 105Engineering Statistics Demystified Stephens 113FFive Steps to a 5 AP Calculus AB-BC, 2e Ma 69Fourier Series and Boundary Value Problems, 7e Brown 82Functional Analysis, 2e Rudin 99GGeometry with Geometry Explorer Hvidsten 37HHigher Engineering Mathematics Ramana 89History of Mathematics: An Introduction, 3e (The) Burton 92How to Solve World Problems in Calculus Don 73116

TITLE INDEXIIntermediate Algebra Hutchison 29Intermediate Algebra, 2e Miller 27Intermediate Algebra, 3e Bello 28Intermediate Algebra, 6e Dugopolski 25Introduction to Enumerative Combinatorics Bona 87Introduction to Graph Theory Chartrand 90Introduction to Linear Algebra DeFranza 84Introduction to Probability and Statistics: Principles and Applications for Engineering and the Milton 109,112Computing Sciences, 4eIntroduction to the Theory of Statistics, 3e Mood 110Introductory Algebra, 3e Bello 11Introductory Algebra: Alternate Edition (Hardback), 2e Miller 12LLectures in Elementary Probability Theory and Stochastic Processes Falmagne 114Linear Algebra with Applications, 5e Nicholson 85MMastering Technical Mathematics, 3e Gibilisco 43Math for Elementary Teachers: A Conceptual Approach, 8e Bennett 39Math for Elementary Teachers: An Activity Approach, 8e Bennett 40Mathcad: A Tool for Engineers and Scientists (B.E.S.T. Series), 2e Pritchard 89Mathematics for Technicians Alldis 43PPrealgebra, 2e Hutchison 10Prealgebra: Media Enhanced Edition, 3e Bergman 8Precalculus, 2e Coburn 54Precalculus: Graphs and Models, 3e Barnett 56Precalculus with Limits, 6e Barnett 57Precalculus with Mathzone, 6e Barnett 58Principles of Mathematical Analysis, 3e Rudin 91RReady, Set, Go! A Student Guide to SPSS ® 13.0 and 14.0 for Windows, 2e Pavkov 106Real and Complex Analysis, 3e Rudin 97,100117

TITLE INDEXSSchaum’s 2,000 Solved Problems in Discrete Mathematics Lipschutz 42Schaum’s 3,000 Solved Problems in Calculus Mendelson 74Schaum’s 3,000 Solved Problems in Linear Algebra Lipschutz 87Schaum’s A-Z Mathematics Berry 8Schaum’s Easy Outline of Business Statistics Kazmier 108Schaum’s Easy Outline of Intermediate Algebra Steege 30Schaum’s Easy Outline of Logic Nolt 88Schaum’s Easy Outline: College Algebra Spiegel 51Schaum’s Easy Outlines: Calculus Ayres 73Schaum’s Easy Outlines: Geometry Rich 38Schaum’s Easy Outlines: Linear Algebra Lipschutz 86Schaum’s Easy Outlines: Mathematical Handbook of Formulas and Tables Spiegel 102Schaum’s Easy Outlines: Statistics Spiegel 108Schaum’s Outline of Abstract Algebra, 2e Jaisingh 95Schaum’s Outline of Advanced Calculus, 2e Wrede 69Schaum’s Outline of Advanced Mathematics for Engineers and Scientists, SI Metric Spiegel 90Schaum’s Outline of Beginning Calculus, 3e Mendelson 72Schaum’s Outline of Beginning Finite Mathematics Lipschutz 40Schaum’s Outline of Beginning Statistics, 2e Stephens 107Schaum’s Outline of Calculus, 5e Ayres 72Schaum’s Outline of College Algebra, 3e Moyer 51Schaum’s Outline of Combinatorics Balakrishnan 88Schaum’s Outline of Complex Variables Spiegel 99Schaum’s Outline of Differential and Integral Calculus, SI Metric, 3e Ayres 73Schaum’s Outline of Differential Equations, 3e Bronson 81Schaum’s Outline of Differential Geometry Lipschutz 96Schaum’s Outline of Discrete Mathematics, 3e Lipschutz 42Schaum’s Outline of Elementary Algebra, 3e Rich 16Schaum’s Outline of Elements of Statistics I: Differential Statistics and Probability Bernstein 108Schaum’s Outline of Elements of Statistics II: Inferential Statistics Bernstein 108Schaum’s Outline of General Topology Lipschutz 101Schaum’s Outline of Geometry, 4e Rich 38Schaum’s Outline of Graph Theory: Including Hundreds of Solved Problems Balakrishnan 91Schaum’s Outline of Group Theory Baumslag 95Schaum’s Outline of Intermediate Algebra Steege 30Schaum’s Outline of Introduction to Mathematical Economics, 3e Dowling 39Schaum’s Outline of Introduction to Probability and Statistics Lipschutz 109Schaum’s Outline of Linear Algebra, 4e Lipschutz 86Schaum’s Outline of Mathematica Don 73Schaum’s Outline of Mathematical Handbook of Formulas and Tables, 3e Spiegel 33Schaum’s Outline of Mathematical Methods for Business and Economics Dowling 39118

TITLE INDEXSchaum’s Outline of Mathematics for Liberal Arts Majors Thomas 38Schaum’s Outline of Modern Abstract Algebra Ayres 95Schaum’s Outline of Numerical Analysis, 2e Scheid 94Schaum’s Outline of Partial Differential Equations DuChateau 83Schaum’s Outline of Precalculus, 2e Safier 59Schaum’s Outline of Probability and Statistics, 3e Schiller 110Schaum’s Outline of Probability and Statistics, 3e Spiegel 107Schaum’s Outline of Probability, 2e Lipschutz 108Schaum’s Outline of Review of Elementary Mathematics, 2e Rich 8Schaum’s Outline of Set Theory and Related Topics, 2e Lipschutz 109Schaum’s Outline of Statistics in Psychology Stephens 111Schaum’s Outline of Statistics, 4e Spiegel 107,113Schaum’s Outline of Tensor Calculus Kay 90Schaum’s Outline of Trigonometry, 4e Moyer 52Schaum’s Outline of Understanding Calculus Concepts Passow 73Spreadsheet Tools for Engineers Using Excel, 3e Gottfried 89SPSS Survival Manual, 3e Pallant 111Statistics for Engineers and Scientists, 2e Navidi 111Statistics: A First Course, 6e Sanders 107TTopology Davis 101Transition to Higher Mathematics: Structure and Proof Dumas 83Trigonometry Coburn 51119

AUTHOR INDEXAAhlfors Complex Analysis, 3e 98Alldis Mathematics for Technicians 43Ang Differential Equations 80Ayres Schaum’s Easy Outlines: Calculus 73Ayres Schaum’s Outline of Calculus, 5e 72Ayres Schaum’s Outline of Differential and Integral Calculus, SI Metric, 3e 73Ayres Schaum’s Outline of Modern Abstract Algebra 95BBalakrishnan Schaum’s Outline of Combinatorics 88Balakrishnan Schaum’s Outline of Graph Theory: Including Hundreds of Solved Problems 91Barnett College Algebra, 8e 50Barnett College Algebra: Graphs and Models, 3e 49Barnett Colllege Algebra with Trigonometry, 8e 53Barnett Precalculus: Graphs and Models, 3e 56Barnett Precalculus with Limits, 6e 57Barnett Precalculus with Mathzone, 6e 58Baumslag Schaum’s Outline of Group Theory 95Bello Basic College Mathematics, 3e 6Bello Intermediate Algebra, 3e 28Bello Introductory Algebra, 3e 11Bennett Math for Elementary Teachers: A Conceptual Approach, 8e 39Bennett Math for Elementary Teachers: An Activity Approach, 8e 40Bergman Prealgebra: Media Enhanced Edition, 3e 8Bernstein Schaum’s Outline of Elements of Statistics I: Differential Statistics and Probability 108Bernstein Schaum’s Outline of Elements of Statistics II: Inferential Statistics 108Berry Schaum’s A-Z Mathematics 8Bluman Elementary Statistics: A Brief Version, 4e 105Bluman Elementary Statistics: A Step By Step Approach, 7e 105Bona Introduction to Enumerative Combinatorics 87Bronson Schaum’s Outline of Differential Equations, 3e 81Brown Complex Variables and Applications, 8e 96Brown Fourier Series and Boundary Value Problems, 7e 82Budnick Applied Mathematics for Business, Economics and the Social Science, 4e 38Burton Elementary Number Theory, 6e 94Burton History of Mathematics: An Introduction, 3e (The) 92120

AUTHOR INDEXCChapra Applied Numerical Methods with Matlab for Engineers and Scientists, 2e 93Chartrand Applied and Algorithmic Graph Theory 91Chartrand Introduction to Graph Theory 90Coburn Algebra & Trigonometry, 2e 52Coburn College Algebra, 2e 47Coburn College Algebra Essentials, 2e 48Coburn Precalculus, 2e 54Coburn Trigonometry 51Conte Elementary Numerical Analysis: An Algorithmic Approach, 3e 94DDavis Topology 101DeFranza Introduction to Linear Algebra 84Don How to Solve World Problems in Calculus 73Don Schaum’s Outline of Mathematica 73Dowling Schaum’s Outline of Introduction to Mathematical Economics, 3e 39Dowling Schaum’s Outline of Mathematical Methods for Business and Economics 39DuChateau Schaum’s Outline of Partial Differential Equations 83Dugopolski Algebra for College Students, 5e 31Dugopolski Elementary Algebra, 6e 13Dugopolski Elementary and Intermediate Algebra, 3e 17Dugopolski Intermediate Algebra, 6e 25Dumas Transition to Higher Mathematics: Structure and Proof 83FFalmagne Lectures in Elementary Probability Theory and Stochastic Processes 114GGibilisco Mastering Technical Mathematics, 3e 43Gottfried Spreadsheet Tools for Engineers Using Excel, 3e 89121

AUTHOR INDEXHHall Beginning and Intermediate Algebra, 2e 21Hoffmann Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition 63Hoffmann Calculus for Business, Economics, and the Social and Life Sciences, 10e 64Huettenmueller Business Calculus Demystified 65Hutchison Basic Mathematical Skills with Geometry, 7e 7Hutchison Beginning Algebra, 7e 14Hutchison Elementary and Intermediate Algebra, 3e 22Hutchison Elementary and Intermediate Algebra: Alternate Hardcover Edition, 3e 23Hutchison Intermediate Algebra 29Hutchison Prealgebra, 2e 10Hvidsten Geometry with Geometry Explorer 37JJaisingh Schaum’s Outline of Abstract Algebra, 2e 95KKay Schaum’s Outline of Tensor Calculus 90Kazmier Schaum’s Easy Outline of Business Statistics 108Kutner Applied Linear Statistical Models, 5e 113LLedder Differential Equations: A Modeling Approach 80Lipschutz Schaum’s 2,000 Solved Problems in Discrete Mathematics 42Lipschutz Schaum’s 3,000 Solved Problems in Linear Algebra 87Lipschutz Schaum’s Easy Outlines: Linear Algebra 86Lipschutz Schaum’s Outline of Beginning Finite Mathematics 40Lipschutz Schaum’s Outline of Differential Geometry 96Lipschutz Schaum’s Outline of Discrete Mathematics, 3e 42Lipschutz Schaum’s Outline of General Topology 101Lipschutz Schaum’s Outline of Introduction to Probability and Statistics 109Lipschutz Schaum’s Outline of Linear Algebra, 4e 86Lipschutz Schaum’s Outline of Probability, 2e 108Lipschutz Schaum’s Outline of Set Theory and Related Topics, 2e 109122

AUTHOR INDEXMMa Five Steps to a 5 AP Calculus AB-BC, 2e 69McMahon Complex Variables Demystified 98Mendelson Schaum’s 3,000 Solved Problems in Calculus 74Mendelson Schaum’s Outline of Beginning Calculus, 3e 72Messersmith Beginning and Intermediate Algebra, 2e 19Miller Basic College Mathematics, 2e 5Miller Beginning Algebra, 2e 15Miller Beginning and Intermediate Algebra, 2e 24Miller Bob Miller’s Algebra for the Clueless, 2e 16Miller Intermediate Algebra, 2e 27Miller Introductory Algebra: Alternate Edition (Hardback), 2e 12Milton Introduction to Probability and Statistics: Principles and Applications for Engineering and the 109,112Computing Sciences, 4eMood Introduction to the Theory of Statistics, 3e 110Moyer Schaum’s Outline of College Algebra, 3e 51Moyer Schaum’s Outline of Trigonometry, 4e 52NNavidi Statistics for Engineers and Scientists, 2e 111Nicholson Elementary Linear Algebra, 2e 86Nicholson Linear Algebra with Applications, 5e 85Nolt Schaum’s Easy Outline of Logic 88PPallant SPSS Survival Manual, 3e 111Passow Schaum’s Outline of Understanding Calculus Concepts 73Pavkov Ready, Set, Go! A Student Guide to SPSS ® 13.0 and 14.0 for Windows, 2e 106Pritchard Mathcad: A Tool for Engineers and Scientists (B.E.S.T. Series), 2e 89RRamana Higher Engineering Mathematics 89Rich Schaum’s Easy Outlines: Geometry 38Rich Schaum’s Outline of Elementary Algebra, 3e 16Rich Schaum’s Outline of Geometry, 4e 38Rich Schaum’s Outline of Review of Elementary Mathematics, 2e 8Rosen Discrete Mathematics and Its Applications, 6e 41Rudin Functional Analysis, 2e 99Rudin Principles of Mathematical Analysis, 3e 91123

AUTHOR INDEXRudin Real and Complex Analysis, 3e 97,100SSafier Schaum’s Outline of Precalculus, 2e 59Sanders Statistics: A First Course, 6e 107Scheid Schaum’s Outline of Numerical Analysis, 2e 94Schiller Schaum’s Outline of Probability and Statistics, 3e 110Simmons Differential Equations with Applications and Historical Notes, 2e 81Simmons Differential Equations: Theory, Technique, and Practice 79,81Simpson Discrete Mathematics By Example 42Smith Calculus: Concepts and Connections 68Smith Calculus: Late Transcendental Functions, 3e 65Smith Calculus: Multivariable: Early Transcendental Functions, 3e 75Smith Calculus: Multivariable: Late Transcendental Functions, 3e 74Smith Calculus: Single Variable: Early Transcendental Functions, 3e 71Smith Calculus, Single Variable: Late Transcendental Functions, 3e 69Smith Calculus with Mathzone: Early Transcendental Functions, 3e 66Spiegel Schaum’s Easy Outline: College Algebra 51Spiegel Schaum’s Easy Outlines: Mathematical Handbook of Formulas and Tables 102Spiegel Schaum’s Easy Outlines: Statistics 108Spiegel Schaum’s Outline of Advanced Mathematics for Engineers and Scientists, SI Metric 90Spiegel Schaum’s Outline of Complex Variables 99Spiegel Schaum’s Outline of Mathematical Handbook of Formulas and Tables, 3e 33Spiegel Schaum’s Outline of Probability and Statistics, 3e 107Spiegel Schaum’s Outline of Statistics, 4e 107,113Steege Schaum’s Easy Outline of Intermediate Algebra 30Steege Schaum’s Outline of Intermediate Algebra 30Stephens Engineering Statistics Demystified 113Stephens Schaum’s Outline of Beginning Statistics, 2e 107Stephens Schaum’s Outline of Statistics in Psychology 111TThomas Schaum’s Outline of Mathematics for Liberal Arts Majors 38WWrede Schaum’s Outline of Advanced Calculus, 2e 69124

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