An introduction to differential manifolds / Dennis Barden & Charles Thomas.

Format:

Book

Author/Creator:

Barden, Dennis.

Contributor:

Thomas, C. B. (Charles Benedict)

Language:

English

Subjects (All):

Differentiable manifolds.

Physical Description:

xi, 218 pages : illustrations ; 24 cm

Place of Publication:

London : Imperial College Press ; Singapore ; River Edge, N.J. : Distributed by World Scientific Publishing, [2003]

Summary:

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 Poincar -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.

Notes:

Includes bibliographical references and index.

ISBN:

1860943543

1860943551

OCLC:

52304325