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Calculus of Several Variables : Undergraduate Texts in Mathematics - Serge Lang

Calculus of Several Variables

Undergraduate Texts in Mathematics

Hardcover

Published: 27th March 1996
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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.

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387964058
ISBN-10: 0387964053
Series: Undergraduate Texts in Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 619
Published: 27th March 1996
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 1.04
Edition Number: 3
Edition Type: Revised