9781860943546-1860943543-INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN

INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN

ISBN-13: 9781860943546
ISBN-10: 1860943543
Edition: Illustrated
Author: Barden, Dennis, Thomas, Charles B
Publication date: 2003
Publisher: ICP
Format: Hardcover 232 pages
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Book details

ISBN-13: 9781860943546
ISBN-10: 1860943543
Edition: Illustrated
Author: Barden, Dennis, Thomas, Charles B
Publication date: 2003
Publisher: ICP
Format: Hardcover 232 pages

Summary

Acknowledged authors Barden, Dennis, Thomas, Charles B wrote INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN comprising 232 pages back in 2003. Textbook and eTextbook are published under ISBN 1860943543 and 9781860943546. Since then INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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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