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portada Vector Analysis
Type
Physical Book
Translated by
Publisher
Year
2010
Language
English
Pages
284
Format
Paperback
Dimensions
24.9 x 17.5 x 1.8 cm
Weight
0.54 kg.
ISBN
1441931449
ISBN13
9781441931443

Vector Analysis

Klaus Jänich (Author) · L. Kay (Translated by) · Springer · Paperback

Vector Analysis - Jänich, Klaus ; Kay, L.

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Synopsis "Vector Analysis"

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.

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The book is written in English.
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