Montgomery, Deane 19091992
Overview
Works:  19 works in 99 publications in 4 languages and 835 library holdings 

Genres:  Academic theses Biographies Conference papers and proceedings 
Roles:  Author, Editor 
Classifications:  QA171, 512.86 
Publication Timeline
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Most widely held works about
Deane Montgomery
 Deane Montgomery (2 September 190915 March 1991) by Armand Borel( Book )
Most widely held works by
Deane Montgomery
Topological transformation groups by
Deane Montgomery(
Book
)
66 editions published between 1901 and 2018 in 3 languages and held by 732 WorldCat member libraries worldwide
An advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of research by authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a wellknown mathematical conjecture, Hilbert's Fifth Problem. The treatment begins with an examination of topological spaces and groups and proceeds to locally compact groups and groups with no small subgroups. Subsequent chapters address approximation by Lie groups and transformation groups, concluding with an exploration of compact transformation groups
66 editions published between 1901 and 2018 in 3 languages and held by 732 WorldCat member libraries worldwide
An advanced monograph on the subject of topological transformation groups, this volume summarizes important research conducted during a period of lively activity in this area of mathematics. The book is of particular note because it represents the culmination of research by authors Deane Montgomery and Leo Zippin, undertaken in collaboration with Andrew Gleason of Harvard University, that led to their solution of a wellknown mathematical conjecture, Hilbert's Fifth Problem. The treatment begins with an examination of topological spaces and groups and proceeds to locally compact groups and groups with no small subgroups. Subsequent chapters address approximation by Lie groups and transformation groups, concluding with an exploration of compact transformation groups
Topological groups : notes of lectures by
Deane Montgomery(
Book
)
7 editions published in 1956 in English and Undetermined and held by 32 WorldCat member libraries worldwide
7 editions published in 1956 in English and Undetermined and held by 32 WorldCat member libraries worldwide
Topological groups by
Deane Montgomery(
Book
)
7 editions published between 1956 and 1976 in English and Undetermined and held by 27 WorldCat member libraries worldwide
7 editions published between 1956 and 1976 in English and Undetermined and held by 27 WorldCat member libraries worldwide
Topological transformation groups. Deane Montgomery ... Leo Zippin by
Leo Zippin(
Book
)
2 editions published in 1955 in English and held by 23 WorldCat member libraries worldwide
2 editions published in 1955 in English and held by 23 WorldCat member libraries worldwide
Transformation groups of spheres by
Deane Montgomery(
)
2 editions published in 1943 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1943 in English and held by 3 WorldCat member libraries worldwide
Deane Montgomery, 19091992(
Book
)
1 edition published in 1992 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 2 WorldCat member libraries worldwide
Conference in topology by International Congress of Mathematicians(
Book
)
2 editions published in 1950 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1950 in English and held by 2 WorldCat member libraries worldwide
Topological transformation groups : (4. printing)(
Book
)
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
Topological transformation groups by
Deane Montgomery(
)
1 edition published in 1965 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 2 WorldCat member libraries worldwide
Oral history interview with Deane Montgomery by
Deane Montgomery(
)
in English and held by 1 WorldCat member library worldwide
Montgomery, after completing his Ph. D. at the University of Iowa, spent a year at Harvard and then a year (193435) at Princeton. During World War II he returned to Princeton; he taught Army students and worked for a year with John von Neumann. In 1948 Montgomery became a permanent member, in 1951 a professor, of the Institute for Advanced Study. Montgomery describes the atmosphere at Princeton, and Tucker and Montgomery talk at length about Oswald Veblen, who played a large role in the building up of the mathematics department at the university and the main role in the establishing of the School of Mathematics at the Institute. Montgomery discusses the beginnings of the Institute
in English and held by 1 WorldCat member library worldwide
Montgomery, after completing his Ph. D. at the University of Iowa, spent a year at Harvard and then a year (193435) at Princeton. During World War II he returned to Princeton; he taught Army students and worked for a year with John von Neumann. In 1948 Montgomery became a permanent member, in 1951 a professor, of the Institute for Advanced Study. Montgomery describes the atmosphere at Princeton, and Tucker and Montgomery talk at length about Oswald Veblen, who played a large role in the building up of the mathematics department at the university and the main role in the establishing of the School of Mathematics at the Institute. Montgomery discusses the beginnings of the Institute
The positive integers by
Deane Montgomery(
)
1 edition published in 1930 in English and held by 1 WorldCat member library worldwide
1 edition published in 1930 in English and held by 1 WorldCat member library worldwide
Nonseparable metric spaces by
Deane Montgomery(
Book
)
1 edition published in 1935 in French and held by 1 WorldCat member library worldwide
1 edition published in 1935 in French and held by 1 WorldCat member library worldwide
Summary of lectures and seminars(
Book
)
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
1 edition published in 1957 in English and held by 1 WorldCat member library worldwide
Transformation groups by
Deane Montgomery(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Oswald Veblen (18801960) by
Deane Montgomery(
Book
)
1 edition published in 1963 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1963 in Undetermined and held by 1 WorldCat member library worldwide
John von Neumann : collected works by
John Von Neumann(
Book
)
1 edition published in 1961 in German and held by 1 WorldCat member library worldwide
This volume includes von Neumann's papers dealing with computing, both largescale problems and basic problems of electronic design. A number have not been previously published, as they were originally submitted as reports to the U.S. Army Ordnance Department, the Navy Bureau of Ordnance, or the Los Alamos Scientific Laboratory
1 edition published in 1961 in German and held by 1 WorldCat member library worldwide
This volume includes von Neumann's papers dealing with computing, both largescale problems and basic problems of electronic design. A number have not been previously published, as they were originally submitted as reports to the U.S. Army Ordnance Department, the Navy Bureau of Ordnance, or the Los Alamos Scientific Laboratory
Oswald Veblen by
Deane Montgomery(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Sections of point sets by
Deane Montgomery(
)
1 edition published in 1933 in English and held by 1 WorldCat member library worldwide
1 edition published in 1933 in English and held by 1 WorldCat member library worldwide
more
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Audience Level
0 

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Related Identities
 Zippin, Leo Author
 James, Robert C. (Robert Clarke) Editor
 Samelson, Hans 19162005
 Institute for Advanced Study (Princeton, N.J.)
 Chittenden, Edward Wilson
 Steenrod, Norman Earl 19101971 Editor
 Whitney, Hassler Editor
 Veblen, Oswald 18801960
 State University of Iowa Department of Mathematics
 Bargmann, V. (Valentine) 19081989
Useful Links
Associated Subjects
Astrophysics Dirac equation Electronic digital computers Ergodic theory Functions Game theory Geometry Geometry, Algebraic Group theory Hilbert space Hydrodynamics Institute for Advanced Study (Princeton, N.J.).School of Mathematics Logic Mass (Physics) Mathematicians Mathematics MathematicsResearch Meteorology Minkowski geometry Operator theory Periodic functions Princeton University.Department of Mathematics Quantum theory Rings (Algebra) Topological algebras Topological groups Topological transformation groups Topology Transformation groups Transformations (Mathematics) United States Veblen, Oswald, Von Neumann algebras
Alternative Names
Deane Montgomery Amerikaans wiskundige (19091992)
Deane Montgomery amerikansk matematikar
Deane Montgomery amerikansk matematiker
Deane Montgomery matamaiticeoir Meiriceánach
Deane Montgomery matemàtic estatunidenc
Deane Montgomery matematician american
Deane Montgomery matemático estadounidense
Deane Montgomery matematico statunitense
Deane Montgomery matemáticu estauxunidense
Deane Montgomery matematikan amerikan
Deane Montgomery mathématicien américain
Deane Montgomery USamerikanischer Mathematiker
Montgomery, D.
Дин Монтгомери американский математик
ديانى مونتجومرى
دين مونتجومري رياضياتي أمريكي
ディーン・モントゴメリー
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