Topology from the Differentiable Viewpoint
John Milnor

John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters
John Willard Milnor, Winner of the 2011 Leroy P. Steele Prize for Lifetime Achievement, American Mathematical Society

Paper | 1997 | $37.50 / £26.95 | ISBN: 9780691048338
76 pp. | 6 x 9

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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.

Table of Contents

Other Princeton books authored or coauthored by John Milnor:

• Characteristic Classes. (AM-76).
• Dynamics in One Complex Variable. (AM-160): Third Edition. (AM-160).
• Introduction to Algebraic K-Theory. (AM-72).
• Morse Theory. (AM-51).
• Prospects in Mathematics. (AM-70).
• Singular Points of Complex Hypersurfaces. (AM-61).

Series:

• Princeton Landmarks in Mathematics and Physics

Subject Areas:

• Physics
• Mathematics

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Hardcover published in 1965

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For customers in the U.S., Canada, Latin America, Asia, and Australia
Paper: $37.50 ISBN: 9780691048338

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Paper: £26.95 ISBN: 9780691048338

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