Book:Michael Spivak/Calculus
Jump to navigation
Jump to search
Michael Spivak: Calculus
Published $\text {1967}$, Benjamin
Subject Matter
Contents
- Preface
- Preface to the World Student Series Edition
- Part I Prologue
- 1 Basic Properties of Numbers
- 2 Numbers of Various Sorts
- Part II Foundations
- 3 Functions
- Appendix. Ordered Pairs
- 4 Graphs
- 5 Limits
- 6 Continuous Functions
- 7 Three Hard Theorems
- 8 Least Upper Bounds
- 3 Functions
- Part III Derivatives and Integrals
- 9 Derivatives
- 10 Differentiation
- 11 Significance of the Derivative
- Appendix. Convexity and Concavity
- 12 Inverse Functions
- 13 Integrals
- 14 The Fundamental Theorem of Calculus
- 15 The Trigonometric functions
- 16 $\pi$ is Irrational
- 17 The Logarithm and Exponential Functions
- 18 Integration in Elementary Terms
- Part IV Infinite Sequences and Infinite Series
- 19 Approximation by Polynomial Functions
- 20 $e$ is Transcendental
- 21 Infinite Sequences
- 22 Infinite Series
- 23 Uniform Convergence and Power Series
- 24 Complex Numbers
- 25 Complex Functions
- 26 Complex Power Series
- Part V Epilogue
- 27. Fields
- 28. Construction of the Real Numbers
- 29. Uniqueness of the Real Numbers
- Suggested Reading
- Answers (to selected problems)
- Glossary of Symbols
- Index
Cited by
Further Editions
- 2006: Michael Spivak: Calculus (3rd ed.)
- 2008: Michael Spivak: Calculus (4th ed.)
Sources
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): $1$: Review of some real analysis: $\S 1.1$: Real Numbers
Source work progress
- 1967: Michael Spivak: Calculus ... (previous) ... (next): Part $\text I$: Prologue: Chapter $1$: Basic Properties of Numbers: $(\text P 8)$
- Starting from Next:
- 1967: Michael Spivak: Calculus ... (previous) ... (next): Part $\text {III}$: Derivatives and Integrals: Chapter $18$: Integration in Elementary Terms