Topology from the Differentiable Viewpoint

by John Willard Milnor

Book Reviews

  • @braised_babbage @JaminSpeer Fun suggestion. I tried to read "Topology from the Differentiable Viewpoint" years ago, and must admit I didn't connect. I wonder how I'd enjoy it now.Link to Tweet

About Book

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.