Calculus of Several Variables (Undergraduate Texts in Mathematics)
Serge Lang
ISBN 10: 0387964053 ISBN 13: 9780387964058
Editore: Springer 1996-04-18, 1996
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Hardcover
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Chiron Media, Wallingford, Regno Unito
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Descrizione:
Codice articolo 6666-GRD-9780387964058
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.
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.
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Titolo: Calculus of Several Variables (Undergraduate...
Casa editrice: Springer 1996-04-18
Data di pubblicazione: 1996
Legatura: Hardcover
Condizione: New
Edizione: terza edizione