Topology from the Differentiable Viewpoint
Douban
ISBN: 9780691048338
écrit par:
John Willard Milnor
édition:
Princeton University Press
date de publication: 1997
-11
série: Princeton Landmarks in Mathematics and Physics
prix: USD 37.50
nombre de pages: 76
John Willard Milnor
résumé
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.
