This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.
| ISBN: | 9780691048338 |
| Publication date: | 14th December 1997 |
| Author: | John Milnor |
| Publisher: | Princeton University Press |
| Format: | Paperback |
| Pagination: | 80 pages |
| Series: | Princeton Landmarks in Mathematics and Physics |
| Genres: |
Topology |