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.
By:
Serge Lang Imprint: Springer-Verlag New York Inc. Country of Publication: United States Edition: Softcover reprint of the original 3rd ed. 1987 Dimensions:
Height: 235mm,
Width: 155mm,
Spine: 32mm
Weight: 961g ISBN:9781461270010 ISBN 10: 1461270014 Series:Undergraduate Texts in Mathematics Pages: 619 Publication Date:17 October 2012 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active