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An Introduction To Differential Manifolds Dennis Barden Charles B Thomas

  • SKU: BELL-5225334
An Introduction To Differential Manifolds Dennis Barden Charles B Thomas
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An Introduction To Differential Manifolds Dennis Barden Charles B Thomas instant download after payment.

Publisher: Imperial College Press
File Extension: PDF
File size: 17.89 MB
Pages: 234
Author: Dennis Barden, Charles B. Thomas
ISBN: 9781860943546, 1860943543
Language: English
Year: 2003

Product desciption

An Introduction To Differential Manifolds Dennis Barden Charles B Thomas by Dennis Barden, Charles B. Thomas 9781860943546, 1860943543 instant download after payment.

An introduction to basic ideas in differential topology, based on the many years of teaching experience of both authors. 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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