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Calculus of Several Variables Third Edition 1987 Edition
Author(s): Serge Lang (Author)
- Publisher: Springer
- Publication Date: 17 Feb. 1987
- Edition: Third Edition 1987
- Language: English
- Print length: 631 pages
- ISBN-10: 0387964053
- ISBN-13: 9780387964058
Book Description
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 conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, §1. This forms a coherent whole.
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