Topology from the Differentiable Viewpoint
โ Scribed by John Willard Milnor
- Book ID
- 127446626
- Publisher
- University Press Of Virginia
- Year
- 1997
- Tongue
- English
- Weight
- 1 MB
- Category
- Library
- ASIN
- B0012BU0K6
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
๐ SIMILAR VOLUMES
The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material more efficiently than the more common method