ISBN-10:
0914098918
ISBN-13:
2900914098910
Pub. Date:
07/28/2008
Publisher:
Publish or Perish, Incorporated
Calculus / Edition 4

Calculus / Edition 4

by Michael Spivak

Hardcover

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Product Details

ISBN-13: 2900914098910
Publisher: Publish or Perish, Incorporated
Publication date: 07/28/2008
Edition description: New Edition
Pages: 680
Product dimensions: 6.00(w) x 1.25(h) x 9.00(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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