Multivariable Calculus, Linear Algebra, and Differential Equations
eBook - PDF

Multivariable Calculus, Linear Algebra, and Differential Equations

  1. 992 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Multivariable Calculus, Linear Algebra, and Differential Equations

Book details
Table of contents
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About This Book

Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483218038
Edition
2
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Front Cover
  2. Multivariable Calculus, Linear Algebra, and Differential Equations
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Chapter 1. Vectors in the Plane
  7. Chapter 2. Vector Functions, Vector Differentiation, and Parametric Equations in R
  8. Chapter 3. Vectors in Space
  9. Chapter 4. Differentiation of Functions of Two or More Variables
  10. Chapter 5. Multiple Integration
  11. Chapter 6. Introduction to Vector Analysis
  12. Chapter 7. Matrices and Linear Systems of Equations
  13. Chapter 8. Determinants
  14. Chapter 9. Vector Spaces and Linear Transformations
  15. Chapter 10. Calculus in R
  16. Chapter 11. Ordinary Differential Equations
  17. Chapter 12. Matrices and Systems of Differential Equations
  18. Chapter 13. Taylor Polynomials, Sequences, and Series
  19. Appendix I: Mathematical Induction
  20. Appendix 2: The Binomial Theorem
  21. Appendix 3: Complex Numbers
  22. Appendix 4: Proof of the Basic Theorem About Determinants
  23. Appendix 5: Existence and Uniqueness for First-Order Initial Value Problems
  24. Table of integrals
  25. Answers to Odd-Numbered Problems and Review Exercises
  26. Index