Advanced Calculus
eBook - ePub

Advanced Calculus

Theory and Practice

  1. 608 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Advanced Calculus

Theory and Practice

About this book

Advanced Calculus: Theory and Practice, Second Edition offers a text for a one- or two-semester course on advanced calculus or analysis. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them understand the connections among different topics.

The book explains how various topics in calculus may seem unrelated but have common roots. Emphasizing historical perspectives, the text gives students a glimpse into the development of calculus and its ideas from the age of Newton and Leibniz to the twentieth century. Nearly 300 examples lead to important theorems.

Features of the Second Edition:

  • Improved Organization. Chapters are reorganized to address common preferences.
  • Enhanced Coverage of Axiomatic Systems. A section is added to include Peano's system of axioms for the set of natural numbers and their use in developing the well-known properties of the set N.
  • Expanded and Organized Exercise Collection. There are close to 1,000 new exercises, many of them with solutions or hints. Exercises are classified based on the level of difficulty. Computation-oriented exercises are paired and solutions or hints provided for the odd-numbered questions.
  • Enrichment Material. Historical facts and biographies of over 60 mathematicians.
  • Illustrations. Thirty-five new illustrations are added in order to guide students through examples or proofs.

About the Author:

John Srdjan Petrovic is a professor at Western Michigan University.

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Yes, you can access Advanced Calculus by John Petrovic,John Srdjan Petrovic in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Preface
  7. 1 Real Numbers
  8. 2 Sequences and Their Limits
  9. 3 Continuity
  10. 4 Derivative
  11. 5 Indefinite Integral
  12. 6 Definite Integral
  13. 7 Infinite Series
  14. 8 Sequences and Series of Functions
  15. 9 Fourier Series
  16. 10 Functions of Several Variables
  17. 11 Derivatives of Functions of Several Variables
  18. 12 Implicit Functions and Optimization
  19. 13 Integrals Depending on a Parameter
  20. 14 Integration in ℝn
  21. 15 Fundamental Theorems of Multivariable Calculus
  22. 16 Solutions and Answers to Selected Exercises
  23. Bibliography
  24. Subject Index
  25. Author Index