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Vector Analysis
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Vector Analysis Hardcover - 2001

by Klaus Janich


From the publisher

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.

First line

The only background we need is a little topology-Chapter I of [J:Top] is enough, at least for now-and differential calculus of several variables.

Details

  • Title Vector Analysis
  • Author Klaus Janich
  • Binding Hardcover
  • Edition US edition
  • Pages 281
  • Language ENG
  • Publisher Springer, USA
  • Date February 16, 2001
  • Features Bibliography, Illustrated, Index
  • ISBN 9780387986494

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Citations

  • Choice, 10/01/2001, Page 345
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Vector Analysis (Undergraduate Texts in Mathematics)
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Vector Analysis (Undergraduate Texts in Mathematics)

by Jänich, Klaus

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Vector Analysis (Undergraduate Texts in Mathematics)
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Vector Analysis (Undergraduate Texts in Mathematics)

by Janich, Klaus; Kay, Leslie, translator

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Vector Analysis (Undergraduate Texts in Mathematics)
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Vector Analysis (Undergraduate Texts in Mathematics)

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Vector Analysis
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Vector Analysis

Vector Analysis

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Vector Analysis
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Vector Analysis

by Klaus Janich

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Hardback. New. This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality.
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Vector Analysis (Undergraduate Texts in Mathematics)
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Vector Analysis (Undergraduate Texts in Mathematics)

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Vector Analysis (Undergraduate Texts in Mathematics)
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Vector Analysis (Undergraduate Texts in Mathematics)

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Vector Analysis (Undergraduate Texts in Mathematics)
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Vector Analysis (Undergraduate Texts in Mathematics)

by Jänich, Klaus; Kay, L. [Translator]

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