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Calculus of Several Variables

by Serge Lang

2020-12-29 10:59:19

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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... Read more
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. Less

Book Details

File size6.10(w)x9.25(h)x0.05(d)
Print pages619
PublisherSpringer New York
Publication date December 6, 2012
Languageeng
ISBN9781461210689
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Serge Lang
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