ENGLISH

An Introduction to Differential Manifolds

By Charles B. Thomas , Dennis Barden

Book information

Publisher
Imperial College Press
Year
2003
ISBN
9781860943546, 9781860943546
Language
english
Format
DJVU
Filesize
2 MB (2198560 bytes)
Pages
234\234
Time added
2015-11-01 16:56:54
Analytic Geometry Topology Mathematics Science Mat

Description

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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