An Introduction to Differential Manifolds

by Charles Thomas (Author), Dennis Barden (Author)

• New

  Hardcover
  2003

  $84.91

  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 Poincare-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.

• Used

  Paperback
  2003

  $21.66

  An introduction to basic ideas in differential topology, covering smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms, and applications. Each chapter contains exercises and solutions are provided.

• New

  Paperback
  2003

  $44.75

  An introduction to basic ideas in differential topology, covering smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms, and applications. Each chapter contains exercises and solutions are provided.