Michael Corral: Vector Calculus

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202 GNU Free Documentation License A "Modified Version" of the Document means any work containing the Document or a portion of it, either copied verbatim, or with modifications and/or translated into another language. A "Secondary Section" is a named appendix or a front-matter section of the Document that deals exclusively with the relationship of the publishers or authors of the DocumenttotheDocument’soverallsubject(ortorelatedmatters)andcontainsnothing that could fall directly within that overall subject. (Thus, if the Document is in part a textbook of mathematics, a Secondary Section may not explain any mathematics.) The relationship could be a matter of historical connection with the subject or with related matters, or of legal, commercial, philosophical, ethical or political position regarding them. The "Invariant Sections" are certain Secondary Sections whose titles are designated, as being those of Invariant Sections, in the notice that says that the Document is released under this License. If a section does not fit the above definition of Secondary then it is not allowed to be designated as Invariant. The Document may containzeroInvariantSections. IftheDocumentdoesnotidentifyanyInvariantSections then there are none. The"CoverTexts"arecertainshortpassagesoftextthatarelisted,asFront-Cover TextsorBack-CoverTexts,inthenoticethatsaysthattheDocumentisreleasedunder this License. A Front-Cover Text may be at most 5 words, and a Back-Cover Text may be at most 25 words. A "Transparent" copy of the Document means a machine-readable copy, represented in a format whose specification is available to the general public, that is suitable for revising the document straightforwardly with generic text editors or (for images composed of pixels) generic paint programs or (for drawings) some widely available drawing editor, and that is suitable for input to text formatters or for automatic translationtoavarietyofformatssuitableforinputtotextformatters. Acopymadein an otherwise Transparent file format whose markup, or absence of markup, has been arrangedtothwartordiscouragesubsequentmodificationbyreadersisnotTransparent. An image format is not Transparent if used for any substantial amount of text. A copy that is not "Transparent" is called "Opaque". Examples of suitable formats for Transparent copies include plain ASCII without markup, Texinfo input format, LaTeX input format, SGML or XML using a publicly available DTD, and standard-conforming simple HTML, PostScript or PDF designed for human modification. Examples of transparent image formats include PNG, XCF and JPG. Opaque formats include proprietary formats that can be read and edited onlybyproprietarywordprocessors,SGMLorXMLforwhichtheDTDand/orprocessing tools are not generally available, and the machine-generated HTML, PostScript or PDF produced by some word processors for output purposes only. The "Title Page" means, for a printed book, thetitlepage itself, plus such following pagesasareneededtohold,legibly,thematerialthisLicenserequirestoappearinthe title page. For works in formats which do not have any title page as such, "Title Page"
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About the author: Michael Corral is
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iv Preface matter, anyone can make
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vi Contents 4.4 Surface Integrals a
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2 CHAPTER 1. VECTORS IN EUCLIDEAN S
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10 CHAPTER 1. VECTORS IN EUCLIDEAN
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66 CHAPTER 2. FUNCTIONS OF SEVERAL
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102 CHAPTER 3. MULTIPLE INTEGRALS T
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136 CHAPTER 4. LINE AND SURFACE INT
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Page 196 and 197: 188 Bibliography Pogorelov, A.V., A
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Page 200 and 201: Appendix B We will prove the right-
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Page 204 and 205: Appendix C 3D Graphing with Gnuplot
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Page 212 and 213: 204 GNU Free Documentation License
Page 218 and 219: Index Symbols D....................
Page 220 and 221: 212 Index iterated integral .......
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Michael Corral: Vector Calculus

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