Topology from the Differentiable Viewpoint
Douban
ISBN: 9780691048338
author:
John Willard Milnor
publishing house:
Princeton University Press
publication date: 1997
-11
series: Princeton Landmarks in Mathematics and Physics
price: USD 37.50
number of pages: 76
John Willard Milnor
overview
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.
