| An Introduction to Differential Manifolds Contributor(s): Barden, Dennis (Author), Thomas, Charles B. (Author) |
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ISBN: 1860943551 ISBN-13: 9781860943553 Publisher: Imperial College Press OUR PRICE: $42.75 Product Type: Paperback - Other Formats Published: March 2003 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Geometry - Analytic - Mathematics | Applied |
| Dewey: 516.36 |
| LCCN: 2005295953 |
| Physical Information: 0.36" H x 6.29" W x 8.88" (0.77 lbs) 232 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |