Geometry of Differential Forms

Name: Geometry of Differential Forms
Price: 57.16 USD
Availability: InStock
ISBN: 9780821810453

ISBN-10: 0821810456

ISBN-13: 9780821810453

Edition: 2001

Authors: Shigeyuki Morita

List price: $66.00

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Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms. The book by Morita is a comprehensive introduction to differential forms. It begins with a quick introduction to the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results…

Book details

List price: $66.00
Copyright year: 2001
Publisher: American Mathematical Society
Publication date: 8/30/2001
Binding: Paperback
Pages: 321
Size: 5.50" wide x 8.50" long x 1.00" tall
Weight: 0.880
Language: English



Answers to exercises


Index


Manifolds Differential forms de Rham theorem


Laplacian and harmonic forms


Vector bundles and characteristic classes


Fiber bundles and characteristic classes


Perspectives Solutions


References


Index