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Vector Analysis

Vector Analysis

Hardcover

Series: Undergraduate Texts in Mathematics

General Mathematics

ISBN10: 0387986499
ISBN13: 9780387986494
Publisher: Springer
Published: Feb 16 2001
Pages: 284
Weight: 1.51
Height: 0.78 Width: 7.27 Depth: 9.52
Language: English
Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; line, surface, and volume integrals; and the integral theorems of Gauss, Stokes, and Green. Modern vector analysis distills these into the Cartan calculus and a general form of Stokes's theorem. This essentially modern text carefully develops vector analysis on manifolds and reinterprets it from the classical viewpoint (and with the classical notation) for three-dimensional Euclidean space, then goes on to introduce de Rham cohomology and Hodge theory. The material is accessible to an undergraduate student with calculus, linear algebra, and some topology as prerequisites. The many figures, exercises with detailed hints, and tests with answers make this book particularly suitable for anyone studying the subject independently.

Also from

Jänich, Klaus

Also in

General Mathematics