Student’s Guide to Calculus by J. Marsden and A. Weinstein Volume II
This Student Guide is exceptional, maybe even unique, among such guides in that its author, Fred Soon, was actually a student user of the textbook during one of the years we were writing and debugging the book. (He was one of the best students that year, by the way. ) Because of his background, Fred...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1985, 1985
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| Edition: | 1st ed. 1985 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 7
- Basic Methods of Integration
- 7.1 Calculating Integrals
- 7.2 Integration by Substitution
- 7.3 Changing Variables in the Definite Integral
- 7.4 Integration by Parts
- 7.R Review Exercises for Chapter 7
- 8
- Differential Equations
- 8.1 Oscillations
- 8.2 Growth and Decay
- 8.3 The Hyperbolic Functions
- 8.4 The Inverse Hyperbolic Functions
- 8.5 Separable Differential Equations
- 8.6 Linear First-Order Equations
- 8.R Review Exercises for Chapter 8
- 9
- Applications of Integration
- 9.1 Volumes by the Slice Method
- 9.2 Volumes by the Shell Method
- 9.3 Average Values and the Mean Value Theorem for Integrals
- 9.4 Center of Mass
- 9.5 Energy, Power, and Work
- 9.R Review Exercises for Chpater 9
- Comprehensive Test for Chapters 7 – 9
- 10
- Further Techniques and Applications of Integration
- 10.1 Trigonometric Integrals
- 10.2 Partial Fractions
- 10.3 Arc Length and Surface Area
- 10.4 Parametric Curves
- 10.5 Length and Area in Polar Coord