A Course in Advanced Calculus
eBook - ePub

A Course in Advanced Calculus

  1. 432 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

A Course in Advanced Calculus

About this book

This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis. The author achieves this ambitious undertaking by shifting easily from one related subject to another. Thus, discussions of topology, linear algebra, and inequalities yield to examinations of innerproduct spaces, Fourier series, and the secret of Pythagoras. Beginning with a look at sets and structures, the text advances to such topics as limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, and more.
Carefully chosen problems appear at the end of each chapter, and this new edition features an additional appendix of tips and solutions for selected problems.

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Yes, you can access A Course in Advanced Calculus by Robert S. Borden in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Dedication Page
  5. Contents
  6. Preface
  7. Chapter 1 Sets and Structures
  8. Chapter 2 Limit and Continuity in En
  9. Chapter 3 Inequalities
  10. Chapter 4 Linear Spaces
  11. Chapter 5 Forms in En
  12. Chapter 6 Topology
  13. Chapter 7 Inner-Product Spaces
  14. Chapter 8 Measure and Integration
  15. Chapter 9 Differentiable Mappings
  16. Chapter 10 Sequences and Series
  17. Chapter 11 Applications of Improper Integrals
  18. Chapter 12 The Generalized Stokes Theorem
  19. Tips and Solutions for Selected Problems
  20. Bibliography
  21. Index