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Introduction To Differential Manifolds, An

Af: Dennis Barden, Charles B Thomas Engelsk Paperback

Introduction To Differential Manifolds, An

Af: Dennis Barden, Charles B Thomas Engelsk Paperback
Tjek vores konkurrenters priser

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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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.

Produktdetaljer
Sprog: Engelsk
Sider: 232
ISBN-13: 9781860943553
Indbinding: Paperback
Udgave:
ISBN-10: 1860943551
Udg. Dato: 13 mar 2003
Længde: 16mm
Bredde: 267mm
Højde: 154mm
Forlag: Imperial College Press
Oplagsdato: 13 mar 2003
Forfatter(e) Dennis Barden, Charles B Thomas


Kategori Differential- og Riemannsk geometri


ISBN-13 9781860943553


Sprog Engelsk


Indbinding Paperback


Sider 232


Udgave


Længde 16mm


Bredde 267mm


Højde 154mm


Udg. Dato 13 mar 2003


Oplagsdato 13 mar 2003


Forlag Imperial College Press

Kategori sammenhænge