Introduction to Differential Manifolds

Name: Introduction to Differential Manifolds
Brand: Imperial College Press
SKU: 9781860943546
Price: 415.56 RON
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Autor: Dennis Barden, Charles Thomas

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Editura: Imperial College Press

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

Informații despre carte

Autor

Dennis Barden, Charles Thomas

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2003

Pagini

232

EAN

9781860943546

ISBN

1860943543

Enbook ID

05121702

Editura

Imperial College Press

Greutate

472

Dimensiuni

163 x 230 x 15

Descriere completă

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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Introduction to Differential Manifolds

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