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.

Collected Papers of John Milnor (Collected Papers of John Milnor, 2)

Science & Math

John Milnor

Mathematics

American Mathematical Society

<p>This volume contains papers on geometry of one of the best modern geometers and topologists, John Milnor. This book covers a wide variety of topics and includes several previously unpublished works. It is delightful reading for any mathematician with an interest in geometry and topology and for any person with an interest in mathematics. (A number of papers in the collection, intended for a general mathematical audience, have been published in the American Mathematical Monthly.) Each paper is accompanied by the author's comments on further development of the subject. The volume contains twenty-one papers and is partitioned into three parts: Differential geometry and curvature, Algebraic geometry and topology, and Euclidean and non-Euclidean geometry. 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.</p>

John Milnor Collected Papers: Volume 1: Geometry

<p>The theory cf quadratic forms and the intimately related theory of sym- metrie bilinear forms have a lang and rich his tory, highlighted by the work of Legendre, Gauss, Minkowski, and Hasse. (Compare [Dickson] and [Bourbaki, 24, p. 185].) Our exposition will concentrate on the rela- tively recent developments which begin with and are inspired by Witt's 1937 paper "Theorie der quadratischen Formen in beliebigen Körpern." We will be particularly interested in the work of A. Pfister and M. Knebusch. However, some older material will be described, particularly in Chapter II. The presentation is based on lectures by Milnor at the Institute for Ad- vanced Study, and at Haverford College under the Phillips Lecture Pro- gram, during the Fall of 1970, as weIl as Iectures at Princeton University il1 1966. We want to thank J. Cunningham, M. Knebusch, M. Kneser, A. Rosenberg, W. Scharlau and J.-P. Serre for helpful suggestions and corrections. Prerequisites. The reader should be familiar with the rudiments of algebra., incJuding for example the concept of tensor product for mo- dules over a commutative ring. A few individual sections will require quite a bit more. The logical relationship between the various chapters can be roughly described by the diagram below. There are also five appendices, largely self-contained, which treat special topics. I. Arbitrary commutative rings I H. The ring of V. Miscellaneous IIl. Fields integers examples IV. Dedekind domains Contents Chapter r. Basie Coneepts . . . . . . . .</p>

Symmetric Bilinear Forms (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)

Springer

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Books by John Milnor

See the best price to sell, buy, or rent books by John Milnor. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Collected Papers of John Milnor (Collected Papers of John Milnor, 2)

John Milnor Collected Papers: Volume 1: Geometry

Symmetric Bilinear Forms (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)