Calculus of Several Variables - Rilegato

Lang, Serge

Rilegato

ISBN 10: 0387964053 ISBN 13: 9780387964058

Casa editrice: Springer-Verlag GmbH, 1987

Riassunto

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.

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Contenuti

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 Description

Book by Lang Serge

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 1987
• Lingua: Inglese
• ISBN 10: 0387964053
• ISBN 13: 9780387964058
• Rilegatura: Copertina rigida
• Numero edizione: 3
• Numero di pagine: 636
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania