Klaus Jänich

(Author)

Vector Analysis (2001)Hardcover - 2001, 16 February 2001

Vector Analysis (2001)
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Part of Series
Undergraduate Texts in Mathematics
Print Length
284 pages
Language
English
Publisher
Springer
Date Published
16 Feb 2001
ISBN-10
0387986499
ISBN-13
9780387986494

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'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.

Product Details

Author:
Klaus Jänich
Book Edition:
2001
Book Format:
Hardcover
Country of Origin:
US
Date Published:
16 February 2001
Dimensions:
24.18 x 18.47 x 1.98 cm
ISBN-10:
0387986499
ISBN-13:
9780387986494
Language:
English
Location:
New York, NY
Pages:
284
Publisher:
Weight:
684.92 gm

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