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Introduction To Differential Manifolds, An
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Introduction To Differential Manifolds, An

Book Details

Format Paperback / Softback
ISBN-10 1860943551
ISBN-13 9781860943553
Publisher Imperial College Press
Imprint Imperial College Press
Country of Manufacture GB
Country of Publication GB
Publication Date Mar 13th, 2003
Print length 232 Pages
Weight 346 grams
Dimensions 15.40 x 26.70 x 1.60 cms
Ksh 6,650.00
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An introduction to basic ideas in differential topology, covering smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms, and applications. Each chapter contains exercises and solutions are provided.

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.


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