Topology from the Differentiable Viewpoint
豆瓣
ISBN: 9780691048338
作者:
John Willard Milnor
出版社:
Princeton University Press
發行時間: 1997
-11
叢書: Princeton Landmarks in Mathematics and Physics
價格: USD 37.50
頁數: 76
John Willard Milnor
簡介
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.
