An Introduction to Differential Manifolds (Hardcover) (ISBN-13: 9781860943546)

This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincaré-Hopf theorem relating the Euler number of a manifold and the index of a vector field. Each chapter contains exercises of varying difficulty for which solutions are provided. Special features include examples drawn from geometric manifolds in dimension 3 and Brieskorn varieties in dimensions 5 and 7, as well as detailed calculations for the cohomology groups of spheres and tori.

Author: Dennis Barden, Charles B. Thomas
ISBN-10: 1860943543
ISBN-13: 9781860943546
Publisher: Imperial College Press
Language: English
Published: 03/01/2003
Pages: 232
Format: Hardcover
Weight: 1.04lbs
Size: 9.34h x 6.42w x 0.60d