Introduction To Differential Manifolds, An Paperback / softback
by Dennis (Univ Of Cambridge, Uk) Barden, Charles B (Univ Of Cambridge, Uk) Thomas
Paperback / softback
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Description
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 Poincare-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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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:232 pages
- Publisher:Imperial College Press
- Publication Date:13/03/2003
- Category:
- ISBN:9781860943553
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:232 pages
- Publisher:Imperial College Press
- Publication Date:13/03/2003
- Category:
- ISBN:9781860943553