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Opis

This work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author s previous text, "Continuous Functions of Vector Variables": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line.Written in a definition-theorem-proof format, the book is replete with historical comments, questions, and discussions about strategy, difficulties, and alternate paths.

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Calculus & mathematical analysis

• Pełny tytuł: Derivates and Integrals of Multivariable Functions
• Autor: A. Guzman
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 184
• EAN: 9780817642747
• ISBN: 0817642749
• ID: 01399333
• Wydawca: Birkhäuser
• Waga: 475 g
• Wymiary: 234 × 156 × 17 mm
• Data wydania: 09. October 2003

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