In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages, while other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems.
- ISBN10 0387516751
- ISBN13 9780387516752
- Publish Date 17 March 2011 (first published 19 November 2007)
- Publish Status Withdrawn
- Out of Print 18 October 2014
- Publish Country DE
- Imprint Springer
- Format Paperback (US Trade)
- Pages 533
- Language English