Calculus of Several Variables PDF
by Serge Lang
Part of the Undergraduate Texts in Mathematics series
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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 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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- Format:PDF
- Publisher:Springer New York
- Publication Date:06/12/2012
- Category:
- ISBN:9781461210689
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Information
-
Download Now
- Format:PDF
- Publisher:Springer New York
- Publication Date:06/12/2012
- Category:
- ISBN:9781461210689
