An Introduction To Differential Manifolds, An by Dennis Barden

An Introduction To Differential Manifolds, An by Dennis Barden

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.

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ISBN 13
Title	An Introduction To Differential Manifolds, An
Author	Dennis Barden
Condition	Unavailable
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Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.