Calculus of Several Variables (Undergraduate Texts in Mathematics)

Lang, Serge

ISBN 10: 0387964053 / ISBN 13: 9780387964058

Published by Springer, 1987

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Bibliographic Details

• Title: Calculus of Several Variables (Undergraduate Texts in Mathematics)
• Publisher: Springer
• Publication Date: 1987
• Language: English
• ISBN 10: 0387964053
• ISBN 13: 9780387964058
• Binding: hardcover
• Edition: 3rd.
• Condition: New

About this title

Synopsis

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.