Vector Analysis
by Klaus Jänich
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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- Created July 8, 2019
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| September 28, 2024 | Edited by MARC Bot | import existing book |
| February 27, 2022 | Edited by ImportBot | import existing book |
| December 29, 2021 | Edited by ImportBot | import existing book |
| July 8, 2019 | Created by MARC Bot | Imported from Internet Archive item record |