Topology from the Differentiable Viewpoint - Grand Format

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. Princeton landmarks in mathematics and physics Committed to the highest standards of scholarship and to its widespread dissemination, Princeton University Press publishes a continuing series of paperback books in math and physics written by some of the world's finest scientists on topics of lasting importance. These books will become indispensable additions to the personal libraries of advanced students, teaching faculty, and professional physicists and mathematicians.