Vector Analysis

Klaus Jänich

ISBN 10: 0387986499 / ISBN 13: 9780387986494

Edité par Springer New York, Springer US Feb 2001, 2001

A propos de cet article

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 304 pp. Englisch.

N° de réf. du vendeur 9780387986494

Détails bibliographiques

• Titre: Vector Analysis
• Éditeur: Springer New York, Springer US Feb 2001
• Date de parution: 2001
• Langue: anglais
• ISBN à 10 chiffres: 0387986499
• ISBN à 13 chiffres: 9780387986494
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 260 L x 183 H x 21 P (en millimètres) 260 millimètres de largeur par 183 millimètres de hauteur par 21 millimètres de profondeur
• Poids: 772 grammes

A propos de ce titre

Synopsis

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.