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Vector Analysis - Jänich, Klaus, and Kay, L. (Translated by)
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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 ...

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Vector Analysis 2010, Springer-Verlag New York Inc., New York, NY

ISBN-13: 9781441931443

Paperback

Vector Analysis 2001, Springer, New York, NY

ISBN-13: 9780387986494

2001 edition

Hardcover