Vector Analysis (Undergraduate Texts in Mathematics) - Hardcover

Jänich, Klaus

Hardcover

ISBN 10: 0387986499 ISBN 13: 9780387986494

Verlag: Springer, 2001

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Prof. Dr. Klaus Jänich, Regensburg

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2001
• Sprache: Englisch
• ISBN 10: 0387986499
• ISBN 13: 9780387986494
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 298
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