Vector Analysis - Couverture souple

Janich, Klaus

Couverture souple

ISBN 10 : 1441931449 ISBN 13 : 9781441931443

Editeur : Springer, 2010

Synopsis

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. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source.

A propos du livre

À propos de l'auteur

Prof. Dr. Klaus Jänich, Regensburg

À propos de la quatrième de couverture

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 1441931449
• ISBN 13: 9781441931443
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 281
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible