Book:George B. Thomas, Jr./Calculus and Analytic Geometry/Ninth Edition
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George B. Thomas, Jr. and Ross L. Finney: Calculus and Analytic Geometry (9th Edition)
Published $\text {1996}$, Addison Wesley
- ISBN 0-201-40015-4
Subject Matter
Contents
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- To the Instructor
- To the Student
- $\text P$ Preliminaries
- $1$ Limits and Continuity
- $2$ Derivatives
- $3$ Applications of Derivatives
- $4$ Integration
- $5$ Applications of Integrals
- $6$ Transcendental functions
- $7$ Techniques of Integration
- $8$ Infinite Series
- $9$ Conic Sections, Parametrized Curves, and Polar Coordinates
- $10$ Vectors and Analytic Geometry in Space
- $11$ Vector-Valued Functions and Motion in Space
- $12$ Multivariable Functions and Partial Derivatives
- $13$ Multiple Integrals
- $18$ Integration in Vector Fields
- Appendices
- A.1 Mathematical Induction
- A.2 Proofs of Limit Theorems in Section $1.2$
- A.3 Complex Numbers
- A.4 Simpson's One-Third Rule
- A.5 Cauchy's Mean Value Theorem and the Stronger Form of L'Hôpital's rule
- A.6 Limits That Arise Frequently
- A.7 The Distributive Law for Vector Cross Products
- A.8 Determinants and Cramer's Rule
- A.9 Euler's Theorem and the Increment Theorem
- Answers
- Index
- A Brief Table of Integrals