Calculus in Vector Spaces, Revised Expanded
eBook - ePub

Calculus in Vector Spaces, Revised Expanded

  1. 600 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Calculus in Vector Spaces, Revised Expanded

About this book

Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.

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Yes, you can access Calculus in Vector Spaces, Revised Expanded by Lawrence Corwin,Robert Szczarba in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Routledge
Year
2017
Print ISBN
9781138064591
eBook ISBN
9781351462822
Topic
Mathematics
Subtopic
Functional Analysis
Index
Mathematics

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Preface to the Second Edition
  7. Preface to the First Edition
  8. Chapter 1. Some Preliminaries
  9. Chapter 2. Vector Spaces
  10. Chapter 3. The Derivative
  11. Chapter 4. The Structure of Vector Spaces
  12. Chapter 5. Compact and Connected Sets
  13. Chapter 6. The Chain Rule, Higher Derivatives, and Taylor’s Theorem
  14. Chapter 7. Linear Transformations and Matrices
  15. Chapter 8. Maxima and Minima
  16. Chapter 9. The Inverse and Implicit Function Theorems
  17. Chapter 10. The Spectral Theorem
  18. Chapter 11. Integration
  19. Chapter 12. Iterated Integrals and the Fubini Theorem
  20. Chapter 13. Line Integrals
  21. Chapter 14. Surface Integrals
  22. Chapter 15. Differential Forms
  23. Chapter 16. Integration of Differential Forms
  24. Appendix 1. The Existence of Determinants
  25. Appendix 2. Jordan Canonical Form
  26. Solutions of Selected Exercises
  27. Index