Calculus of several variables

Author(s)

• Lang, Serge

Bibliographic Information

Calculus of several variables

Serge Lang

（Undergraduate texts in mathematics）

Springer-Verlag, 1996, c1987

3rd ed., 4th corrected printing

• : us
• : gw

Note

Includes index

"Fourth corrected printing, 1996"--T.p. verso

Description and Table of Contents

Volume

: us ISBN 9780387964058

Description

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.

Volume

: gw ISBN 9783540964056

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.

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.

by "Nielsen BookData"

• NCID: BA32678020
• ISBN:
  • 0387964053
  • 3540964053
• LCCN: 86017724
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York ; Tokyo
• Pages/Volumes: xii, 503, 107, 4 p .
• Size: 25 cm
• Classification:
  • LCC : QA303
  • DC19 : 515.8/4
  • NDC8 : 413.51
  • NDLC : MA111
• Subject Headings:
  • LCSH : Calculus
  • LCSH : Functions of several real variables
• Parent Bibliography ID:
  • BA00018418