Kniha Vector Analysis Klaus Jänich

Vector Analysis

Autor: Klaus Jänich
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 dnů
1 677
Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; li...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2001
Stránek
284
EAN
9780387986494
ISBN
0387986499
Enbook ID
05248192
Hmotnost
778
Rozměry
265 x 189 x 22

Kompletní popis

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.

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