Topology from the differentiable viewpoint/ John W Milnor
Series: Princeton Landmarks in Mathematics and Physics | Princeton Landmarks in MathematicsPublication details: Princeton: Princeton University Press, 1997Edition: revDescription: ix, 64 pages; 23 cmISBN:- 9780691048339
- 23rd 514.72 M659
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.72 M659 (Browse shelf(Opens below)) | Available | 138669 |
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| 514.72 M327 Differential topology | 514.72 M659 Topology from the differentiable viewpoint | 514.72 M659 Differential topology | 514.72 M659 Topology from the differentiable viewpoint/ | 514.72 M694 Introduction to foliations and lie groupoids | 514.72 M694 Introduction to foliations and lie groupoids | 514.72 M723 Riemannian foliations |
The content of the book is based on notes by David W Weaver
Includes bibliography and index
Preface -- Smooth manifolds and smooth maps -- The theorem of Sard and Brown -- Proof of Sard's theorem -- The degree modulo 2 of a mapping -- Oriented manifolds -- Vector fields and the Euler number -- Framed cobordism: the Pontryagin construction -- Exercises
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.
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