Calculus of Several Variables

Name: Calculus of Several Variables
Price: 46.13 USD
Availability: InStock
ISBN: 9780387964058

ISBN-10: 0387964053

ISBN-13: 9780387964058

Edition: 3rd 1987 (Revised)

Authors: Serge A. Lang

List price: $79.95

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Description:

This is a new, revised edition of this widely known text. All of the basic topics in calculus of several variables are covered, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green's theorem, multiple integrals, surface integrals, Stokes' theorem, and the inverse mapping theorem and its consequences. The presentation is self-contained, assuming only a knowledge of basic calculus in one variable. Many completely worked-out problems have been included.

Book details

List price: $79.95
Edition: 3rd
Copyright year: 1987
Publisher: Springer New York
Publication date: 2/17/1987
Binding: Hardcover
Pages: 619
Size: 6.10" wide x 9.25" long x 1.25" tall
Weight: 2.530

Lang, Yale University, New Haven, CT.




Basic Material



Vectors



Differentiation of Vectors



Functions of Several Variables



The Chain Rule and the Gradient



Maxima, Minima, and Taylor's Formula



Maximum and Minimum



Higher Derivatives



Curve Integrals and Double Integrals



Potential Functions



Curve Integrals



Double Integrals



Green's Theorem



Triple and Surface Integrals



Triple Integrals



Mappings, Inverse Mappings, and Change of Variables Formula



Matrices



Linear Mappings



Determinants



Applications to Functions of Several Variables



The Change of Variables Formula


Appendix: Fourier Series