9781860943546-1860943543-INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN

INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN

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

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

Summary

INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN (ISBN-13: 9781860943546 and ISBN-10: 1860943543), written by authors Dennis Barden, Charles B Thomas, was published by Imperial College Press in 2003. With an overall rating of 3.8 stars, it's a notable title among other Geometry & Topology (Mathematics) books. You can easily purchase or rent INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN (Hardcover) from BooksRun, along with many other new and used Geometry & Topology books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $0.3.

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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