Introduction To Differential Manifolds, An (e-bog) af Charles B Thomas, Thomas

Introduction To Differential Manifolds, An e-bog

265,81 DKK (inkl. moms 332,26 DKK)
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 theo...
E-bog 265,81 DKK
Forfattere Charles B Thomas, Thomas (forfatter)
Udgivet 12 marts 2003
Længde 232 sider
Genrer PBH
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9781911298236
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.