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An Introduction to Differential Manifolds by Dennis Barden, Charles B. Thomas

An Introduction to Differential Manifolds

by Dennis Barden , Charles B. Thomas
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Book cover type: Paperback
  • ISBN13: 9781860943553
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Imperial College Press
  • Publisher Imprint: Imperial College Press
  • Publication Date:
  • Pages: 232
  • Original Price: USD 45.0
  • Language: English
  • Edition: Reprint
  • Item Weight: 350 grams
  • BISAC Subject(s): Geometry / Differential

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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