Calculus of Several Variables
(Sprache: Englisch)
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...
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Klappentext zu „Calculus of Several Variables “
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.
Inhaltsverzeichnis zu „Calculus of Several Variables “
I: Basic Material1: 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
Bibliographische Angaben
- Autor: Serge Lang
- 3rd ed. 1987. Corr. 4th printing 1996, 636 Seiten, 298 Abbildungen, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer Berlin
- ISBN-10: 3540964053
- ISBN-13: 9783540964056
- Erscheinungsdatum: 27.03.1996
Sprache:
Englisch
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