Milnor, John
Overview
Works:  18 works in 42 publications in 4 languages and 152 library holdings 

Roles:  Author 
Classifications:  QA251.5, 512.4 
Publication Timeline
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Most widely held works by
John Milnor
Singular points of complex hypersurfaces by
John W Milnor(
Book
)
11 editions published between 1968 and 1974 in English and Russian and held by 56 WorldCat member libraries worldwide
11 editions published between 1968 and 1974 in English and Russian and held by 56 WorldCat member libraries worldwide
On the structure of Hopf Algebras by
John Milnor(
Book
)
4 editions published in 1965 in English and Undetermined and held by 9 WorldCat member libraries worldwide
4 editions published in 1965 in English and Undetermined and held by 9 WorldCat member libraries worldwide
Introduction to algebraic Ktheory by
John W Milnor(
Book
)
3 editions published in 1971 in English and held by 7 WorldCat member libraries worldwide
3 editions published in 1971 in English and held by 7 WorldCat member libraries worldwide
On entropy and monotonicity for real cubic maps by
John Milnor(
Book
)
3 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 6 WorldCat member libraries worldwide
Symmetric bilinear forms by
John W Milnor(
Book
)
6 editions published between 1973 and 2014 in English and Russian and held by 6 WorldCat member libraries worldwide
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 selfcontained, 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
6 editions published between 1973 and 2014 in English and Russian and held by 6 WorldCat member libraries worldwide
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 selfcontained, 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
An experiment in mental generation of random numbers by
John Milnor(
Book
)
1 edition published in 1952 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1952 in English and held by 3 WorldCat member libraries worldwide
Remarks on iterated cubic maps by
John Milnor(
Book
)
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1990 in English and held by 2 WorldCat member libraries worldwide
An axiomatic approach to measurable utility by
I. N Herstein(
)
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 2 WorldCat member libraries worldwide
Topological methods in modern mathematics : Proceedings of a symposium in honor of John Milnor's sixtieth birthday, held at
the State University of New York at Stony Brook, June 1421, 1991(
Book
)
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 2 WorldCat member libraries worldwide
An axiomatic approach to measurable utility by
I. N Herstein(
)
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
Differential topology : lectures Princeton University : Fall term 1958 by
John Milnor(
Book
)
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
1 edition published in 1961 in English and held by 1 WorldCat member library worldwide
Bernoulli numbers : lecture notes by
John Milnor(
Book
)
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
1 edition published in 1970 in English and held by 1 WorldCat member library worldwide
Topological methods in modern mathematics : proceedings of a Symposium in honor of John Milnor sixtieth birthday(
Book
)
1 edition published in 1993 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 1993 in Italian and held by 1 WorldCat member library worldwide
Der Ring der Vektorraumbündel eines topologischen Raumes : Vorlesung by
John W Milnor(
Book
)
1 edition published in 1959 in German and held by 1 WorldCat member library worldwide
1 edition published in 1959 in German and held by 1 WorldCat member library worldwide
Collected papers by
John W Milnor(
Book
)
3 editions published between 1993 and 1995 in English and held by 1 WorldCat member library worldwide
3 editions published between 1993 and 1995 in English and held by 1 WorldCat member library worldwide
Axiomatic Approach to Measurable Utility by
Cowles Commission for Research in Economics(
Book
)
1 edition published in 1953 in English and held by 1 WorldCat member library worldwide
1 edition published in 1953 in English and held by 1 WorldCat member library worldwide
Differential Topology : Lectures by John Milnor by
James R Munkres(
Book
)
1 edition published in 1958 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 1958 in Italian and held by 1 WorldCat member library worldwide
Two remarks on fiber homotopy by
John Milnor(
Book
)
1 edition published in 1959 in English and held by 1 WorldCat member library worldwide
1 edition published in 1959 in English and held by 1 WorldCat member library worldwide
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Audience Level
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Associated Subjects
Abelian groups Algebra Associative rings Bernoulli polynomials Bilinear forms Differentiable dynamical systems Differential topology Fiberings (Mathematics) Fiber spaces (Mathematics) Forms, Quadratic Functor theory Geometry Geometry, Algebraic Geometry, Differential Homotopy theory Knot theory Ktheory Mappings (Mathematics) Mathematics Modules (Algebra) Monotonic functions Topological dynamics Topology