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Calculus of Several Variables 3RD Edition

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Calculus of Several Variables 3RD Edition Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This new, revised edition covers all of the basic topics in calculus of several variables, 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. It includes many completely worked-out problems.

Table of Contents

I: Basic Material. 1: Vectors. 2: Differentiation of Vectors. 3: Functions of Several Variables. 4: The Chain Rule and the Gradient. II: Maxima, Minima, and Taylor's Formula. 5: Maximum and Minimum. 6: Higher Derivatives. III: Curve Integrals and Double Integrals. 7: Potential Functions. 8: Curve Integrals. 9: Double Integrals. 10: Green's Theorem. IV: Triple and Surface Integrals. 12: Triple Integrals. V: Mappings, Inverse Mappings, and Change of Variables Formula. 13: Matrices. 14: Linear Mappings. 15: Determinants. 16: Applications to Functions of Several Variables. 17: The Change of Variables Formula. Appendix: Fourier Series.

Product Details

ISBN:
9780387964058
Author:
Lang, Serge
Publisher:
Springer
Location:
New York :
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Functional Analysis
Subject:
Functions of several real variables.
Subject:
Real functions
Subject:
Mathematics-Calculus
Copyright:
Edition Number:
3
Edition Description:
1987. Corr. 4th
Series:
Undergraduate Texts in Mathematics
Series Volume:
no. 1
Publication Date:
19870217
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
631
Dimensions:
235 x 155 mm 2350 gr

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Related Subjects

Science and Mathematics » Environmental Studies » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General
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Calculus of Several Variables 3RD Edition Used Hardcover
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Product details 631 pages Springer-Verlag - English 9780387964058 Reviews:
"Synopsis" by , This new, revised edition covers all of the basic topics in calculus of several variables, 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. It includes many completely worked-out problems.
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