Collected Papers of John Milnor PDF Download

Author: John Willard Milnor
Publisher: American Mathematical Soc.
ISBN: 0821891391
Category : Algebra
Languages : en
Pages : 562

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Author: John Willard Milnor
Publisher: American Mathematical Soc.
ISBN: 082184475X
Category : Algebra
Languages : en
Pages : 388

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Author: John Willard Milnor
Publisher: Princeton University Press
ISBN: 9780691048338
Category : Mathematics
Languages : en
Pages : 80

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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.

Author: John McCleary
Publisher: Cambridge University Press
ISBN: 0521116074
Category : Mathematics
Languages : en
Pages : 375

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A thoroughly revised second edition of a textbook for a first course in differential/modern geometry that introduces methods within a historical context.

Author: John Willard Milnor
Publisher:
ISBN: 9780821848753
Category : Algebra
Languages : en
Pages :

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Author: John Willard Milnor
Publisher: American Mathematical Soc.
ISBN: 0821848763
Category : Algebra
Languages : en
Pages : 442

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Author: John Willard Milnor
Publisher: Princeton University Press
ISBN: 9780691081229
Category : Mathematics
Languages : en
Pages : 342

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The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.

Author: John Milnor
Publisher:
ISBN: 9780821848777
Category :
Languages : en
Pages :

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Author: Araceli Bonifant
Publisher: Princeton University Press
ISBN: 0691159297
Category : Mathematics
Languages : en
Pages : 799

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John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize, and is the only one to have received all three of the Leroy P. Steele prizes. In honor of his eightieth birthday, this book gathers together surveys and papers inspired by Milnor's work, from distinguished experts examining not only holomorphic dynamics in one and several variables, but also differential geometry, entropy theory, and combinatorial group theory. The book contains the last paper written by William Thurston, as well as a short paper by John Milnor himself. Introductory sections put the papers in mathematical and historical perspective, color figures are included, and an index facilitates browsing. This collection will be useful to students and researchers for decades to come. The contributors are Marco Abate, Marco Arizzi, Alexander Blokh, Thierry Bousch, Xavier Buff, Serge Cantat, Tao Chen, Robert Devaney, Alexandre Dezotti, Tien-Cuong Dinh, Romain Dujardin, Hugo García-Compeán, William Goldman, Rotislav Grigorchuk, John Hubbard, Yunping Jiang, Linda Keen, Jan Kiwi, Genadi Levin, Daniel Meyer, John Milnor, Carlos Moreira, Vincente Muñoz, Viet-Anh Nguyên, Lex Oversteegen, Ricardo Pérez-Marco, Ross Ptacek, Jasmin Raissy, Pascale Roesch, Roberto Santos-Silva, Dierk Schleicher, Nessim Sibony, Daniel Smania, Tan Lei, William Thurston, Vladlen Timorin, Sebastian van Strien, and Alberto Verjovsky.

Author: John Milnor
Publisher: Princeton University Press
ISBN: 1400881811
Category : Mathematics
Languages : en
Pages : 130

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The description for this book, Singular Points of Complex Hypersurfaces. (AM-61), Volume 61, will be forthcoming.