Vector Analysis

By:

Klaus Janich

Format:

Hardback

Series:

Undergraduate Texts in Mathematics

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Description

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' 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.

Release date Australia

February 16th, 2001

Author

Klaus Janich

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Contributor

Translated by L. Kay

Illustrations

XIV, 284 p.

Pages

284

Series

Undergraduate Texts in Mathematics

Dimensions

178x254x17

ISBN-13

9780387986494

Product ID

2048894

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