Multivariable Calculus, Linear Algebra and Differential Equations - Hardcover
The third edition combines coverage of multivariable calculus with linear algebra and differential equations.
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- PublisherAcademic Press Inc
- Publication date1982
- ISBN 10 0123043026
- ISBN 13 9780123043023
- BindingHardcover
- Number of pages797
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Calculus Part II
Published by
Academic Press A Subsidiary of Harcourt Brace Jovanovich, Publishers
(1982)
ISBN 10: 0123043026
ISBN 13: 9780123043023
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Book Description Hard Cover. Condition: Good. Anco/Boston (illustrator). Second Edition 2nd Printing. BOOK: Previous Owner Markings (Including Ink Underlining, Marginalia); Corners, Spine, Boards Bumped; Moderate Shelf Rub to Boards; Spine Slightly Cocked; Edges Moderately Soiled; Moderate Yellowing Due to Age. DUST JACKET: None, As Issued. SUB-TITLE: Multivariable Calculus, Linear Algebra, and Differential Equations. COVER PHOTO BY: Gary Gladstone, The Image Bank. ACQUISITIONS EDITOR: Stephen Guty. PROJECT EDITOR: Georgia Lee Hadler. DIRECTOR OF PRODUCTION: Sheridan Hughes. ART DIRECTOR: Edward Butler. CONTENTS: Preface; One - Vectors in the Plane; Two - Vector Functions, Vector Differentiation, and Parametric Equations; Three - Vectors in Space; Four - Differentiation of Functions of Two and Three Variables; Five - Multiple Integration; Six - Introduction to Vector Analysis; Seven - Matrices and the Space Rn/324; Eight - Determinants; Nine - Vector Spaces and Linear Transformations; Ten - Vector Functions of n Variables; Eleven - Ordinary Differential Equations; Twelve - Matrices, Systems of Differential Equations, Eigenvalues, and Eigenvectors; Thirteen - Sequences and Series; Appendix 1 Mathematical Induction; Appendix 2 The Binomial Theorem; Appendix 3 Complex Numbers; Appendix 4 Proof of the Basic Theorem About Determinants; Appendix 5 Existence and Uniqueness for First-Order Initial Value Problems; Table of Integrals; Answers to Odd-Numbered Problems and Review Exercises; Index. EXCERPT: PREFACE In 1977 the first edition of my book Calculus was published. It, like the second edition that followed, contained a comprehensive introduction to the calculus of one and several variables. Many instructors suggested that since a large number of students stopped after studying one variable calculus, a shorter version of my text should be available. To meet that need, Academic Press published Calculus, Part I in 1981. This one-variable calculus text contains the first fourteen chapters of the main book. The original plan was to publish, simultaneously, a second "short book" containing the last seven chapters of the main text. Most first year calculus courses cover similar material. However, I soon found that this was not the case for the second-year course. Some schools cover only multivariable calculus in the second year. Others include some linear algebra, some differential equations, or both. Thus, we made the decision to write Calculus, Part II so as to make it usable in a wider variety of courses. The goal has been to retain the flavor of Part I while making a large number of traditionally "post-calculus" topics accessible to sophomores. Size: 4to - over 9¾" - 12" tall. Seller Inventory # 003191
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