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INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN

Autor Barden Dennis
en Limba Engleză Hardback – 12 mar 2003
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 Poincar-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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Specificații

ISBN-13: 9781860943546
ISBN-10: 1860943543
Pagini: 232
Ilustrații: Illustrations
Dimensiuni: 157 x 235 x 17 mm
Greutate: 0.49 kg
Editura: ICP