ISBN-10:
0521867444
ISBN-13:
9780521867443
Pub. Date:
06/08/2006
Publisher:
Cambridge University Press
Calculus / Edition 3

Calculus / Edition 3

by Michael Spivak

Hardcover

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Product Details

ISBN-13: 9780521867443
Publisher: Cambridge University Press
Publication date: 06/08/2006
Edition description: Revised
Pages: 681
Sales rank: 257,164
Product dimensions: 9.09(w) x 10.20(h) x 1.61(d)

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.

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