Multivariable Calculus
This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
[Place of publication not identified]
Don Shimamoto
2020.
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- I Preliminaries
- 1 Rn
- II Vector-valued functions of one variable
- 2 Paths and curves
- III Real-valued functions
- 3 Real-valued functions: preliminaries
- 4 Real-valued functions: differentiation
- 5 Real-valued functions: integration
- IV Vector-valued functions
- 6 Differentiability and the chain rule
- 7 Change of variables
- V Integrals of vector fields
- 8 Vector fields
- 9 Line integrals
- 10 Surface integrals
- 11 Working with differential forms