num_pages: 80
description: 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.
language: English
title: Topology from the Differentiable Viewpoint
titlecomplete: Topology from the Differentiable Viewpoint
genres: Nonfiction, Mathematics, Geometry, Textbooks
ratings_count: 71
publisher: Princeton University Press