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  • Page 2 and 3: Basic Engineering Mathematics
  • Page 4 and 5: Basic Engineering Mathematics Fourt
  • Page 6 and 7: Contents Preface xi 1. Basic arithm
  • Page 8 and 9: Contents vii 13.3 Graphical solutio
  • Page 10 and 11: Contents ix 27.4 Vector subtraction
  • Page 12 and 13: Preface Basic Engineering Mathemati
  • Page 14 and 15: 1 Basic arithmetic 1.1 Arithmetic o
  • Page 16 and 17: Basic arithmetic 3 12. −23148 −
  • Page 18 and 19: Basic arithmetic 5 Problem 18. 23
  • Page 20 and 21: Fractions, decimals and percentages
  • Page 22 and 23: Fractions, decimals and percentages
  • Page 24 and 25: Fractions, decimals and percentages
  • Page 26 and 27: Fractions, decimals and percentages
  • Page 28 and 29: Indices and standard form 15 From l
  • Page 30 and 31: Indices and standard form 17 16 2
  • Page 32 and 33: Indices and standard form 19 3.6 Fu
  • Page 34 and 35: 4 Calculations and evaluation of fo
  • Page 36 and 37: Calculations and evaluation of form
  • Page 38 and 39: Calculations and evaluation of form
  • Page 40 and 41: Calculations and evaluation of form
  • Page 42 and 43: Calculations and evaluation of form
  • Page 44 and 45: Computer numbering systems 31 3. (a
  • Page 46 and 47: Computer numbering systems 33 11 11
  • Page 48 and 49: Computer numbering systems 35 Probl
  • Page 50 and 51: 6 Algebra 6.1 Basic operations Alge
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    Algebra 39 ) 2a 2 − 2ab − b 2 2

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    Algebra 41 Using the third and four

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    Algebra 43 x 2 is a common factor o

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    Algebra 45 10. p 2 − 3pq × 2p ÷

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    7 Simple equations 7.1 Expressions,

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    Simple equations 49 7.3 Further wor

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    Simple equations 51 Problem 18. A r

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    Simple equations 53 Squaring both s

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    Transposition of formulae 55 Rearra

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    Transposition of formulae 57 Now tr

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    Transposition of formulae 59 6. 7.

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    Simultaneous equations 61 Hence y =

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    Simultaneous equations 63 It is oft

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    Simultaneous equations 65 Thus the

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    Simultaneous equations 67 Substitut

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    10 Quadratic equations 10.1 Introdu

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    Quadratic equations 71 In Problems

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    Quadratic equations 73 Summarizing:

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    Quadratic equations 75 Neglecting t

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    11 Inequalities 11.1 Introduction t

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    Inequalities 79 i.e. 11.4 Inequalit

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    Inequalities 81 Solving quadratic i

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    12 Straight line graphs 12.1 Introd

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    Straight line graphs 85 Problem 2.

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    Straight line graphs 87 (b) Rearran

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    Straight line graphs 89 Degrees Fah

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    Straight line graphs 91 y 147 140 A

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    Straight line graphs 93 Stress (pas

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    Graphical solution of equations 95

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    Graphical solution of equations 97

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    Graphical solution of equations 99

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    Graphical solution of equations 101

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    14 Logarithms 14.1 Introduction to

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    Logarithms 105 i.e. −5 = 4x i.e.

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    15 Exponential functions 15.1 The e

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    Exponential functions 109 If in the

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    Exponential functions 111 Problem 1

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    Exponential functions 113 ( ) 5.14

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    Exponential functions 115 (b) Trans

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    16 Reduction of non-linear laws to

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    Reduction of non-linear laws to lin

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    Reduction of non-linear laws to lin

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    Reduction of non-linear laws to lin

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    Graphs with logarithmic scales 125

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    Graphs with logarithmic scales 127

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    Graphs with logarithmic scales 129

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    18 Geometry and triangles 18.1 Angu

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    Geometry and triangles 133 (d) 227

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    Geometry and triangles 135 (a) Equi

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    Geometry and triangles 137 Hence XZ

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    Geometry and triangles 139 Now try

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    Geometry and triangles 141 Assignme

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    Introduction to trigonometry 143 Fr

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    Introduction to trigonometry 145 Si

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    Introduction to trigonometry 147 If

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    Introduction to trigonometry 149 To

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    20 Trigonometric waveforms 20.1 Gra

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    Trigonometric waveforms 153 between

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    Trigonometric waveforms 155 45° 60

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    Trigonometric waveforms 157 y 4 0 y

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    Trigonometric waveforms 159 v rads/

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    Trigonometric waveforms 161 Assignm

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    Cartesian and polar co-ordinates 16

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    Cartesian and polar co-ordinates 16

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    Areas of plane figures 167 W X Tabl

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    Areas of plane figures 169 (b) Area

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    Areas of plane figures 171 14. Calc

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    Areas of plane figures 173 is 12 50

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    The circle 175 Q B Now try the foll

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    The circle 177 From equation (2), a

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    The circle 179 Thus, for example, t

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    Volumes of common solids 181 Proble

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    Volumes of common solids 183 Proble

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    Volumes of common solids 185 Fig. 2

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    Volumes of common solids 187 From F

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    Volumes of common solids 189 Volume

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    25 Irregular areas and volumes and

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    Irregular areas and volumes and mea

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    Irregular areas and volumes and mea

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    Irregular areas and volumes and mea

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    Triangles and some practical applic

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    Triangles and some practical applic

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    Triangles and some practical applic

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    Triangles and some practical applic

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    27 Vectors 27.1 Introduction Some p

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    Vectors 209 r 10° b Having obtaine

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    Vectors 211 b Fig. 27.11 o Fig. 27.

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    Vectors 213 N Thus the velocity of

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    Adding of waveforms 215 y 6.1 6 4 2

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    Adding of waveforms 217 The horizon

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    Number sequences 219 The first four

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    Number sequences 221 5. Determine t

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    Number sequences 223 Hence 1 ( 1 9

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    Number sequences 225 Now try the fo

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    Presentation of statistical data 22

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    Presentation of statistical data 22

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    Presentation of statistical data 23

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    Presentation of statistical data 23

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    31 Measures of central tendency and

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    Measures of central tendency and di

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    Measures of central tendency and di

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    32 Probability 32.1 Introduction to

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    Probability 243 (a) The probability

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    Probability 245 Two brass washers a

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    33 Introduction to differentiation

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    Introduction to differentiation 249

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    Introduction to differentiation 251

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    Introduction to differentiation 253

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    Introduction to differentiation 255

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    34 Introduction to integration 34.1

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    Introduction to integration 259 ∫

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    Introduction to integration 261 Pro

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    Introduction to integration 263 A t

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    Introduction to integration 265 Ass

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    List of formulae 267 (ii) Parallelo

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    List of formulae 269 Cartesian and

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    Answers to exercises 271 Exercise 7

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    Answers to exercises 273 7. ab 6 c

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    Answers to exercises 275 5. 0.013 3

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    Answers to exercises 277 Exercise 5

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    Answers to exercises 279 Exercise 7

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    Answers to exercises 281 Exercise 9

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    Answers to exercises 283 Exercise 1

  • Page 298 and 299:

    Index Abscissa, 83 Acute angle, 132

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    Index 287 Interior angles, 132, 134

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