An Introduction to Differential Manifolds
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Beschreibung
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. von Dennis Barden & Charles Thomas
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Über den Autor
- Hardcover
- 1016 Seiten
- Erschienen 2006
- Taylor & Francis Inc
- Gebunden
- 220 Seiten
- Erschienen 2004
- Springer
- hardcover
- 454 Seiten
- Erschienen 1997
- CRC Press
- paperback
- 72 Seiten
- Erschienen 2010
- American Mathematical Society
- Kartoniert
- 344 Seiten
- Erschienen 2013
- Springer




