Calculus of Several Variables
The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conserv...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1987, 1987
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| Edition: | 3rd ed. 1987 |
| Series: | Undergraduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- One Basic Material
- I Vectors
- II Differentiation of Vectors
- III Functions of Several Variables
- IV The Chain Rule and the Gradient
- Two Maxima, Minima, and Taylor’s Formula
- V Maximum and Minimum
- VI Higher Derivatives
- Three Curve Integrals and Double Integrals
- VII Potential Functions
- VIII Curve Integrals
- IX Double Integrals
- X Green’s Theorem
- Four Triple and Surface Integrals
- XI Triple Integrals
- XII Surface Integrals
- Five Mappings, Inverse Mappings, and Change of Variables Formula.
- XIII Matrices
- XIV Linear Mappings
- XV Determinants
- XVI Applications to Functions of Several Variables
- XVII The Change of Variables Formula
- Appendix Fourier Series
- §1. General Scalar Products
- §2. Computation of Fourier Series
- Answers to Exercises