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Author : John Willard Milnor
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 48,8 Mb
Release : 1994
Category : Algebra
ISBN : 9780821844755
Author : John Willard Milnor
Publisher : American Mathematical Soc.
Page : 562 pages
File Size : 41,7 Mb
Release : 1994
Category : Algebra
ISBN : 9780821891391
Author : John Willard Milnor
Publisher : Unknown
Page : 128 pages
File Size : 43,5 Mb
Release : 2007
Category : Differential topology
ISBN : 0821842307
Author : John Milnor
Publisher : Unknown
Page : 128 pages
File Size : 44,6 Mb
Release : 2024-06-19
Category : Electronic
ISBN : 0821848771
Author : John Willard Milnor
Publisher : American Mathematical Soc.
Page : 442 pages
File Size : 45,8 Mb
Release : 1994
Category : Algebra
ISBN : 9780821848760
Author : John Willard Milnor
Publisher : Unknown
Page : 128 pages
File Size : 50,6 Mb
Release : 1994
Category : Algebra
ISBN : 0821848755
Author : John Willard Milnor,David W. Weaver
Publisher : Princeton University Press
Page : 80 pages
File Size : 55,7 Mb
Release : 1997-12-14
Category : Mathematics
ISBN : 0691048339
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 Willard Milnor
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 43,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821842300
This volume is the seventh in the series Collected Papers of John Milnor. Together with the preceding Volume VI, it contains all of Milnor's papers in dynamics, through the year 2012. Most of the papers are in holomorphic dynamics; however, there are two in real dynamics and one on cellular automata. Two of the papers are published here for the first time. The papers in this volume provide important and fundamental material in real and complex dynamical systems. Many have become classics, and have inspired further research in the field. Some of the questions addressed here continue to be important in current research. In some cases, there have been minor corrections or clarifications, as well as references to more recent work which answers questions raised by the author. The volume also includes an index to facilitate searching the book for specific topics.
Author : John Willard Milnor
Publisher : American Mathematical Soc.
Page : 323 pages
File Size : 51,9 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821848753
This volume contains papers of one of the best modern geometers and topologists, John Milnor, on various topics related to the notion of the fundamental group. The volume contains sixteen papers divided into four parts: Knot theory, Free actions on spheres, Torsion, and Three-dimensional manifolds. Each part is preceded by an introduction containing the author's comments on further development of the subject. Although some of the papers were written quite a while ago, they appear more modern than many of today's publications. Milnor's excellent, clear, and laconic style makes the book a real treat. This volume is highly recommended to a broad mathematical audience, and, in particular, to young mathematicians who will certainly benefit from their acquaintance with Milnor's mode of thinking and writing.
Author : John McCleary
Publisher : Cambridge University Press
Page : 375 pages
File Size : 48,9 Mb
Release : 2013
Category : Mathematics
ISBN : 9780521116077
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,James D. Stasheff
Publisher : Princeton University Press
Page : 342 pages
File Size : 48,8 Mb
Release : 1974
Category : Mathematics
ISBN : 0691081220
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 : Araceli Bonifant,Misha Lyubich,Scott Sutherland
Publisher : Princeton University Press
Page : 799 pages
File Size : 52,8 Mb
Release : 2014-03-16
Category : Mathematics
ISBN : 9780691159294
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
Page : 130 pages
File Size : 54,8 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881819
The description for this book, Singular Points of Complex Hypersurfaces. (AM-61), Volume 61, will be forthcoming.
Author : John Willard Milnor
Publisher : American Mathematical Soc.
Page : 312 pages
File Size : 47,9 Mb
Release : 1994
Category : Algebra
ISBN : 0914098306
This volume is the seventh in the series Collected Papers of John Milnor. Together with the preceding Volume VI, it contains all of Milnor's papers in dynamics, through the year 2012. Most of the papers are in holomorphic dynamics; however, there are two in real dynamics and one on cellular automata. Two of the papers are published here for the first time. The papers in this volume provide important and fundamental material in real and complex dynamical systems. Many have become classics, and have inspired further research in the field. Some of the questions addressed here continue to be important in current research. In some cases, there have been minor corrections or clarifications, as well as references to more recent work which answers questions raised by the author. The volume also includes an index to facilitate searching the book for specific topics.
Author : John McCleary
Publisher : Cambridge University Press
Page : 579 pages
File Size : 47,5 Mb
Release : 2001
Category : Mathematics
ISBN : 9780521567596
Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.
