Calculus of Several Variables

ISBN-10: 0387964053
ISBN-13: 9780387964058
Edition: 3rd 1987 (Revised)
Authors: Serge A. Lang
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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  More...

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Book details

List price: $79.95
Edition: 3rd
Copyright year: 1987
Publisher: Springer
Publication date: 3/27/1996
Binding: Hardcover
Pages: 619
Size: 6.50" wide x 9.75" long x 1.25" tall
Weight: 2.552
Language: English

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.

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

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