Singer, I. M. (Isadore Manuel) 1924
Overview
Works:  50 works in 243 publications in 5 languages and 4,079 library holdings 

Genres:  Conference papers and proceedings Educational films Filmed lectures History Biography 
Roles:  Author, Editor, Honoree, Dedicatee, Other 
Classifications:  QA611, 510 
Publication Timeline
.
Most widely held works about
I. M Singer
 The founders of index theory : reminiscences of and about Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I.M. Singer( Book )
 Perspectives in mathematics and physics : essays dedicated to Isadore Singer's 85th birthday( Book )
 Broadsides, pamphlets, etc( )
Most widely held works by
I. M Singer
Lecture notes on elementary topology and geometry by
I. M Singer(
Book
)
53 editions published between 1967 and 2012 in English and Undetermined and held by 1,140 WorldCat member libraries worldwide
At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of his department), he takes courses in special topics. Ifhe is exposed to topology, it is usually straightforward point set topology; if he is exposed to geom? etry, it is usually classical differential geometry. The exciting revelations that there is some unity in mathematics, that fields overlap, that techniques of one field have applications in another, are denied the undergraduate. He must wait until he is well into graduate work to see interconnections, presumably because earlier he doesn't know enough. These notes are an attempt to break up this compartmentalization, at least in topologygeometry. What the student has learned in algebra and advanced calculus are used to prove some fairly deep results relating geometry, topol? ogy, and group theory. (De Rham's theorem, the GaussBonnet theorem for surfaces, the functorial relation of fundamental group to covering space, and surfaces of constant curvature as homogeneous spaces are the most note? worthy examples.) In the first two chapters the bare essentials of elementary point set topology are set forth with some hint ofthe subject's application to functional analysis
53 editions published between 1967 and 2012 in English and Undetermined and held by 1,140 WorldCat member libraries worldwide
At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of his department), he takes courses in special topics. Ifhe is exposed to topology, it is usually straightforward point set topology; if he is exposed to geom? etry, it is usually classical differential geometry. The exciting revelations that there is some unity in mathematics, that fields overlap, that techniques of one field have applications in another, are denied the undergraduate. He must wait until he is well into graduate work to see interconnections, presumably because earlier he doesn't know enough. These notes are an attempt to break up this compartmentalization, at least in topologygeometry. What the student has learned in algebra and advanced calculus are used to prove some fairly deep results relating geometry, topol? ogy, and group theory. (De Rham's theorem, the GaussBonnet theorem for surfaces, the functorial relation of fundamental group to covering space, and surfaces of constant curvature as homogeneous spaces are the most note? worthy examples.) In the first two chapters the bare essentials of elementary point set topology are set forth with some hint ofthe subject's application to functional analysis
The Legacy of John von Neumann by Summer Research Institute on The Legacy of John Von Neumann (1988)(
Book
)
14 editions published in 1990 in English and Multiple languages and held by 427 WorldCat member libraries worldwide
14 editions published in 1990 in English and Multiple languages and held by 427 WorldCat member libraries worldwide
The legacy of Norbert Wiener : a centennial symposium in honor of the 100th anniversary of Norbert Wiener's birth, October
814, 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts by
Daniel W Stroock(
Book
)
12 editions published in 1997 in English and held by 289 WorldCat member libraries worldwide
12 editions published in 1997 in English and held by 289 WorldCat member libraries worldwide
Vertex operators in mathematics and physics : proceedings of a conference, November 1017, 1983 by
J Lepowsky(
Book
)
14 editions published in 1985 in English and Undetermined and held by 278 WorldCat member libraries worldwide
James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry  Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dualstring theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, GoddardOlive, LepowskyWilson and FrenkelLepowskyMeurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development of the subject, the reader should be advised that what follows reflects our own understanding. For another view, see [29].1 t Partially supported by the National Science Foundation through the Mathematical Sciences Research Institute and NSF Grant MCS 8301664. 1 We would like to thank Igor Frenkel for his valuable comments on the first draft of this introduction
14 editions published in 1985 in English and Undetermined and held by 278 WorldCat member libraries worldwide
James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry  Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dualstring theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, GoddardOlive, LepowskyWilson and FrenkelLepowskyMeurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development of the subject, the reader should be advised that what follows reflects our own understanding. For another view, see [29].1 t Partially supported by the National Science Foundation through the Mathematical Sciences Research Institute and NSF Grant MCS 8301664. 1 We would like to thank Igor Frenkel for his valuable comments on the first draft of this introduction
The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand by
P. I Etingof(
Book
)
17 editions published between 2006 and 2007 in English and held by 214 WorldCat member libraries worldwide
"A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. Topics include conformal field theory, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional Lie algebras, and various aspects of the Langlands program. Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics."Publisher's website
17 editions published between 2006 and 2007 in English and held by 214 WorldCat member libraries worldwide
"A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by leading mathematicians, the text is broadly divided into two sections: the first is devoted to developments at the intersection of geometry and physics, and the second to representation theory and algebraic geometry. Topics include conformal field theory, Ktheory, noncommutative geometry, gauge theory, representations of infinitedimensional Lie algebras, and various aspects of the Langlands program. Graduate students and researchers will benefit from and find inspiration in this broad and unique work, which brings together fundamental results in a number of disciplines and highlights the rewards of an interdisciplinary approach to mathematics and physics."Publisher's website
Quantum field theory, supersymmetry, and enumerative geometry(
Book
)
6 editions published in 2006 in English and held by 155 WorldCat member libraries worldwide
6 editions published in 2006 in English and held by 155 WorldCat member libraries worldwide
Surveys in differential geometry : papers dedicated to Atiyah, Bott, Hirzebruch, and Singer by Conference on Geometry and Topology(
Book
)
8 editions published between 2000 and 2002 in English and held by 145 WorldCat member libraries worldwide
8 editions published between 2000 and 2002 in English and held by 145 WorldCat member libraries worldwide
Geometry and physics : essays in honour of I.M. Gelfand(
Book
)
9 editions published in 1991 in English and held by 85 WorldCat member libraries worldwide
9 editions published in 1991 in English and held by 85 WorldCat member libraries worldwide
Ktheory and operator algebras : proceedings of a conference held at the University of Georgia in Athens, Georgia, April 2125,
1975 by
Conference on KTheory and Operator Algebras(
Book
)
21 editions published between 1975 and 2008 in 3 languages and held by 79 WorldCat member libraries worldwide
21 editions published between 1975 and 2008 in 3 languages and held by 79 WorldCat member libraries worldwide
Papers dedicated to Atiyah, Bott, Hirzebruch, and Singer(
Book
)
4 editions published in 2000 in English and held by 41 WorldCat member libraries worldwide
4 editions published in 2000 in English and held by 41 WorldCat member libraries worldwide
Differential geometry; lectures by
I. M Singer(
Book
)
6 editions published in 1962 in English and held by 31 WorldCat member libraries worldwide
6 editions published in 1962 in English and held by 31 WorldCat member libraries worldwide
Perspectives in mathematics and physics : essays dedicated to Isadore Singer's 85th birthday(
Book
)
3 editions published in 2011 in English and held by 29 WorldCat member libraries worldwide
3 editions published in 2011 in English and held by 29 WorldCat member libraries worldwide
Lezioni di topologia elementare e di geometria by
I. M Singer(
Book
)
2 editions published in 1980 in Italian and held by 25 WorldCat member libraries worldwide
2 editions published in 1980 in Italian and held by 25 WorldCat member libraries worldwide
The current interface of geometry and elementary particle physics by
I. M Singer(
Visual
)
5 editions published between 1994 and 2012 in English and held by 24 WorldCat member libraries worldwide
"This lecture covers three intriguing examples of interactions between physics and geometry ... preceeded by an interview with Singer ... [the author] discusses some of the historical background of these topics and reminisces a bit about how he got interested in mathematics and science."
5 editions published between 1994 and 2012 in English and held by 24 WorldCat member libraries worldwide
"This lecture covers three intriguing examples of interactions between physics and geometry ... preceeded by an interview with Singer ... [the author] discusses some of the historical background of these topics and reminisces a bit about how he got interested in mathematics and science."
Index theory for skewadjoint Fredholm operators by
Michael Francis Atiyah(
Book
)
8 editions published in 1969 in English and held by 18 WorldCat member libraries worldwide
8 editions published in 1969 in English and held by 18 WorldCat member libraries worldwide
The infinite groups of Lie and Cartan by
I. M Singer(
Book
)
4 editions published between 1964 and 1965 in English and held by 14 WorldCat member libraries worldwide
4 editions published between 1964 and 1965 in English and held by 14 WorldCat member libraries worldwide
The founders of index theory : reminiscences of and about Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I.M. Singer(
Book
)
1 edition published in 2009 in English and held by 5 WorldCat member libraries worldwide
"Index Theory is one of the most exciting and consequential accomplishments of twentiethcentury mathematics. The Founders of Index Theory contemplates the four great mathematicians who developed index theory  Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I.M. Singer  through the eyes of their students, collaborators and colleagues, their friends and family members, and themselves." "In addition to their own essays and correspondence  of historical importance  this volume presents a variety of material of a decidedly personal as well as compelling mathematical nature, written by some of their most notable students and longtime collaborators, including such leading current figures in mathematics and physics as Simon Donaldson, Edward Witten, and S.T. Yau. In these writings, one perceives the expansive influence of their work across various fields of mathematics and into theoretical physics." "At a time when the long and illustrious careers of Atiyah, Hirzebruch, and Singer are being recognized with birthday celebrations at Edinburgh, in Europe, and in Massachusetts, this second edition of Founders of Index Theory remembers the late and much beloved Raoul Bott  in the affectionate words of those three men, as well as family members and longtime friends and colleagues. What emerges is the portrait of a compelling mathematical mind informed by a warm and magnetic personality that was both a joy and inspiration to those who knew him." "This volume includes a generous collection of color and blackandwhite photographs  many rarely seen  of the four principal figures together with their family, friends, and colleagues. These include numerous images of Bott dating from his early childhood to his last years at Harvard University." "The Founders of Index Theory, Second Edition is a valuable portrayal of four men who transformed mathematics in a profound manner, and who belong to a class of researchers whose interest and influence transcend the conventional boundaries of mathematical fields."Jacket
1 edition published in 2009 in English and held by 5 WorldCat member libraries worldwide
"Index Theory is one of the most exciting and consequential accomplishments of twentiethcentury mathematics. The Founders of Index Theory contemplates the four great mathematicians who developed index theory  Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I.M. Singer  through the eyes of their students, collaborators and colleagues, their friends and family members, and themselves." "In addition to their own essays and correspondence  of historical importance  this volume presents a variety of material of a decidedly personal as well as compelling mathematical nature, written by some of their most notable students and longtime collaborators, including such leading current figures in mathematics and physics as Simon Donaldson, Edward Witten, and S.T. Yau. In these writings, one perceives the expansive influence of their work across various fields of mathematics and into theoretical physics." "At a time when the long and illustrious careers of Atiyah, Hirzebruch, and Singer are being recognized with birthday celebrations at Edinburgh, in Europe, and in Massachusetts, this second edition of Founders of Index Theory remembers the late and much beloved Raoul Bott  in the affectionate words of those three men, as well as family members and longtime friends and colleagues. What emerges is the portrait of a compelling mathematical mind informed by a warm and magnetic personality that was both a joy and inspiration to those who knew him." "This volume includes a generous collection of color and blackandwhite photographs  many rarely seen  of the four principal figures together with their family, friends, and colleagues. These include numerous images of Bott dating from his early childhood to his last years at Harvard University." "The Founders of Index Theory, Second Edition is a valuable portrayal of four men who transformed mathematics in a profound manner, and who belong to a class of researchers whose interest and influence transcend the conventional boundaries of mathematical fields."Jacket
The Chern Symposium, 1979 : proceedings of the International Symposium on Differential Geometry in honor of S.S. Chern, held
in Berkeley, California, June 1979 by
Wu Yi Hsiang(
Book
)
3 editions published in 1980 in English and held by 1 WorldCat member library worldwide
This volume attests to the vitality of differential geometry as it probes deeper into its internal structure and explores ever widening connections with other subjects in mathematics and physics. To most of us Professor S.S. Chern is modern differential geometry, and we, his students, are grateful to him for leading us to this fertile landscape. The aims of the symposium were to review recent developments in geometry and to expose and explore new areas of research. It was our way of honoring Professor Chern upon the occasion of his official retirement as Professor of Mathematics at the University of California. This book is a record of the scientific events of the symposium and reflects Professor Chern's wide interest and influence. The conference also reflected Professor Chern's personality. It was a serious occasion, active yet relaxed, mixed with gentleness and good humor. We wish him good health, a long life, happiness, and a continuation of his extraordinarily deep and original contributions to mathematics. I.M. Singer Contents Real and Complex Geometry in Four Dimensions M.F. ATIYAH. ... Equivariant Morse Theory and the YangMills Equation on Riemann Surfaces RAOUL BaTT .. 11 Isometric Families of Kahler Structures EUGENIO CALABI. . 23 Two Applications of Algebraic Geometry to Entire Holomorphic Mappings MARK GREEN AND PHILLIP GRIFFITHS.  ...  . . 41 The Canonical Map for Certain Hilbert Modular Surfaces F. HIRZEBRUCH ...  ... 75 Tight Embeddings and Maps. Submanifolds of Geometrical Class Three in EN NICOLAAS H. KUIPER
3 editions published in 1980 in English and held by 1 WorldCat member library worldwide
This volume attests to the vitality of differential geometry as it probes deeper into its internal structure and explores ever widening connections with other subjects in mathematics and physics. To most of us Professor S.S. Chern is modern differential geometry, and we, his students, are grateful to him for leading us to this fertile landscape. The aims of the symposium were to review recent developments in geometry and to expose and explore new areas of research. It was our way of honoring Professor Chern upon the occasion of his official retirement as Professor of Mathematics at the University of California. This book is a record of the scientific events of the symposium and reflects Professor Chern's wide interest and influence. The conference also reflected Professor Chern's personality. It was a serious occasion, active yet relaxed, mixed with gentleness and good humor. We wish him good health, a long life, happiness, and a continuation of his extraordinarily deep and original contributions to mathematics. I.M. Singer Contents Real and Complex Geometry in Four Dimensions M.F. ATIYAH. ... Equivariant Morse Theory and the YangMills Equation on Riemann Surfaces RAOUL BaTT .. 11 Isometric Families of Kahler Structures EUGENIO CALABI. . 23 Two Applications of Algebraic Geometry to Entire Holomorphic Mappings MARK GREEN AND PHILLIP GRIFFITHS.  ...  . . 41 The Canonical Map for Certain Hilbert Modular Surfaces F. HIRZEBRUCH ...  ... 75 Tight Embeddings and Maps. Submanifolds of Geometrical Class Three in EN NICOLAAS H. KUIPER
Prospects in mathematics by
I. M Singer(
Book
)
2 editions published in 1971 in English and held by 1 WorldCat member library worldwide
Prospects in Mathematics, a symposium, was held in Princeton on March 1618, 1970 on the occasion of the dedication of the university's new Fine Hall. Invited addresses were delivered by F.E.P. Hirzebruch, L. Hormander, J. Milnor, J.P. Serre, and I.M. Singer. The lecturers undertook to describe some current trends in mathematics in the prespective of the recent past and in terms of some of the expectations for the future. Among subjects discussed were algebraic groups, quadratic forms, topological aspects of global analysis, variants of the index theorem, and partial differential equations. This volume presents the written texts of those lectures. (Author)
2 editions published in 1971 in English and held by 1 WorldCat member library worldwide
Prospects in Mathematics, a symposium, was held in Princeton on March 1618, 1970 on the occasion of the dedication of the university's new Fine Hall. Invited addresses were delivered by F.E.P. Hirzebruch, L. Hormander, J. Milnor, J.P. Serre, and I.M. Singer. The lecturers undertook to describe some current trends in mathematics in the prespective of the recent past and in terms of some of the expectations for the future. Among subjects discussed were algebraic groups, quadratic forms, topological aspects of global analysis, variants of the index theorem, and partial differential equations. This volume presents the written texts of those lectures. (Author)
Recent developments in gauge theories by
G. 't Hooft(
)
1 edition published in 1980 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1980 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Thorpe, John A.
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Other Honoree Author Dedicatee
 Etingof, P. I. (Pavel I.) 1969 Author Editor
 Retakh, Vladimir Editor
 Glimm, James Other Editor
 Impagliazzo, John Other Editor
 American Mathematical Society
 Yau, ShingTung 1949 Editor
 Von Neumann, John 19031957 Other
 Atiyah, Michael Francis 1929 Honoree Author Dedicatee
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Associated Subjects
Algebraic topology Atiyah, Michael Francis, Banach spaces Bet yetomim Disḳin (Jerusalem) Bott, Raoul, Broadsides Chern, ShiingShen, Continuous groups Differential topology Einstein manifolds Gauge fields (Physics) Gelʹfand, I. M.(Izrailʹ Moiseevich) Geometry Geometry, Algebraic Geometry, Differential Geometry, Enumerative Global analysis (Mathematics) Great Britain Group theory Hirzebruch, Friedrich Homology theory Index theory (Mathematics) Israel IsraelArab War (1967) JewsDietary laws Kosher food Ktheory Lie algebras Lie groups Manuscripts, English Manuscripts, German Manuscripts, Hebrew Manuscripts, Yiddish Mathematical physics Mathematicians Mathematics Nonassociative algebras Operator algebras Particles (Nuclear physics) Physics Quantum field theory Religious aspectsJudaism Singer, I. M.(Isadore Manuel), Singularities (Mathematics) Supersymmetry Topological algebras Topological groups Topology Von Neumann, John, Wiener, Norbert,
Alternative Names
Isadore M. Singer amerikansk matematiker
Isadore M. Singer matematico statunitense
Isadore M. Singer USamerikanischer Mathematiker
Isadore Singer americký matematik
Isadore Singer Amerikaans wiskundige
Isadore Singer amerikansk matematikar
Isadore Singer amerikansk matematiker
Isadore Singer mathématicien américain
Singer, I
Singer, I.M.
Singer, I.M. 1924
Singer, I. M. (Isadore Manuel)
Singer, Isadore.
Singer, Isadore 1924
Singer, Isadore Manuel
Singer, Isadore Manuel 1924
SingerThorpe, ... 1924
Зингер, Изадор
איזדור סינגר
إيسادور سينغر
이자도어 싱어
イサドール・シンガー
シンガー, I.M.
艾沙道尔·辛格
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