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Mathematics:Geometry:Differential
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INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN, Barden, Dennis; Thomas, Charles B
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Author Name:    Barden, Dennis; Thomas, Charles B

Title:   INTRODUCTION TO DIFFERENTIAL MANIFOLDS, AN

Binding:   Hardcover

Book Condition:   New

Publisher:    ICP 

ISBN Number:   1860943543 / 9781860943546

Seller ID:   ING9781860943546

1860943543 Special order direct from the distributor

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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 PoincariHopf 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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