Calculus
3rd Edition
- Author: Michael Spivak, Publish or Perish Inc., Houston, Texas
- Date Published: June 2006
- availability: In stock
- format: Hardback
- isbn: 9780521867443
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Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.
Read more- One of the most celebrated texts of its type now readily available outside of the US: combines the rigor of more formidable books with the leisurely explanations, profusion of examples, exercises and illustrations associated with 'doorstops'
- Ideal for students; clear, crisp explanations of what analysis and mathematics are really about
- Full range of exercises, from the straightforward to the challenging that deepen understanding; solutions available in book form via http://www.mathpop.com/bookhtms/cal.htm
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×Product details
- Edition: 3rd Edition
- Date Published: June 2006
- format: Hardback
- isbn: 9780521867443
- length: 681 pages
- dimensions: 259 x 231 x 41 mm
- weight: 1.78kg
- contains: 700 b/w illus.
- availability: In stock
Table of Contents
Preface
Part I. Prologue:
1. Basic properties of mumbers
2. Numbers of various sorts
Part II. Foundations:
3. Functions
4. Graphs
5. Limits
6. Continuous functions
7. Three hard theorems
8. Least upper bounds
Part III. Derivatives and Integrals:
9. Derivatives
10. Differentiation
11. Significance of the derivative
12. Inverse functions
13. Integrals
14. The fundamental theorem of calculus
15. The trigonometric functions
16. Pi is irrational
17. Planetary motion
18. The logarithm and exponential functions
19. Integration in elementary terms
Part IV. Infinite Sequences and Infinite Series:
20. Approximation by polynomial functions
21. e is transcendental
22. Infinite sequences
23. Infinite series
24. Uniform convergence and power series
25. Complex numbers
26. Complex functions
27. Complex power series
Part V. Epilogue:
28. Fields
29. Construction of the real numbers
30. Uniqueness of the real numbers
Suggested reading
Answers (to selected problems)
Glossary of symbols
Index.Instructors have used or reviewed this title for the following courses
- Analytic Geometry and Calculus I
- Introduction to Mathematical Analysis
- Introduction to analysis
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