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Calculus of several variables

Author: Serge Lang
Publisher: New York : Springer-Verlag, ©1987.
Series: Undergraduate texts in mathematics.
Edition/Format:   Book : English : 3rd edView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Serge Lang
ISBN: 0387964053 9780387964058 3540964053 9783540964056
OCLC Number: 13903029
Notes: Includes index.
Description: xii, 503, [95] pages : illustrations ; 25 cm.
Contents: Part 1. Basic material --
I. Vectors --
II. Differentiation of vectors --
III. Functions of several variables --
IV. The chain rule and the gradient --
Part 2. Maxima, minima, and Taylor's formula --
V. Maximum and minimum --
VI. Higher derivatives --
Part 3. Curve integrals and double integrals --
VII. Potential functions --
VIII. Curve integrals --
IX. Double integrals --
X. Green's theorem --
Part 4. Triple and surface integrals --
XI. Triple integrals --
XII. Surface integrals --
Part V. Mappings, inverse mappings, and change of variables formula --
XIII. Matrices --
XIV. Linear mappings --
XV. Determinants --
XVI. Applications to functions of several variables --
XVII. The change of variables formula --
Appendix: Fourier series.
Series Title: Undergraduate texts in mathematics.
Responsibility: Serge Lang.
More information:

Abstract:

"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."--Back cover.

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schema:description"Part 1. Basic material -- I. Vectors -- II. Differentiation of vectors -- III. Functions of several variables -- IV. The chain rule and the gradient -- Part 2. Maxima, minima, and Taylor's formula -- V. Maximum and minimum -- VI. Higher derivatives -- Part 3. Curve integrals and double integrals -- VII. Potential functions -- VIII. Curve integrals -- IX. Double integrals -- X. Green's theorem -- Part 4. Triple and surface integrals -- XI. Triple integrals -- XII. Surface integrals -- Part V. Mappings, inverse mappings, and change of variables formula -- XIII. Matrices -- XIV. Linear mappings -- XV. Determinants -- XVI. Applications to functions of several variables -- XVII. The change of variables formula -- Appendix: Fourier series."@en
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