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INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN

By Barden Dennis

Product Image: INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN

INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN

By Barden Dennis

0 - Default Title
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.
Product details
Binding:
Paperback
Number of Pages:
232
Release Date:
2003-03-12
Publication Date:
2003-03-12
Publisher:
ICP
Languages:
Original: English
ISBN10:
1860943551
ISBN13:
9781860943553
Weight:
343 g
Height:
152 cm
Width:
229 cm
Thickness:
13 cm
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