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Vector Analysis

Name: Vector Analysis
Brand: Springer-Verlag New York Inc.
SKU: 05248192
Price: 31323 HUF
Availability: InStock
Author: Klaus Jänich
ISBN: 9780387986494

Klaus Jänich

Language

English

Book Hardback

Libristo code: 05248192

Publishers Springer-Verlag New York Inc., February 2001

Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; li... Full description

Libristo code: 05248192

210 b

31 323 Ft

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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 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.