WorldCat Identities

Singer, I. M. (Isadore Manuel) 1924-

Works: 64 works in 296 publications in 6 languages and 4,922 library holdings
Genres: Conference papers and proceedings  Educational films  Lectures  Nonfiction films  Documentary films  History  Biography 
Roles: Author, Editor, Honoree, Other, Dedicatee, htt
Classifications: QA611, 510
Publication Timeline
Most widely held works by I. M Singer
Lecture notes on elementary topology and geometry by I. M Singer( Book )

64 editions published between 1967 and 2015 in English and held by 1,207 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 topology-geometry. 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 Gauss-Bonnet 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 unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand by P. I Etingof( )

24 editions published between 2006 and 2007 in English and Undetermined and held by 621 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, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional 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
K-theory and operator algebras : proceedings of a conference held at the University of Georgia in Athens, Georgia, April 21-25, 1975 by Bernard B Morrel( Book )

23 editions published between 1977 and 2006 in 3 languages and held by 563 WorldCat member libraries worldwide

The Legacy of John von Neumann by Summer Research Institute on the Legacy of John Von Neumann( Book )

16 editions published between 1990 and 2012 in English and Multiple languages and held by 446 WorldCat member libraries worldwide

Vertex operators in mathematics and physics : proceedings of a conference, November 10-17, 1983 by J Lepowsky( Book )

14 editions published in 1985 in English and held by 348 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 dual-string 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, Goddard-Olive, Lepowsky-Wilson and Frenkel-Lepowsky-Meurman. 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 83-01664. 1 We would like to thank Igor Frenkel for his valuable comments on the first draft of this introduction
The legacy of Norbert Wiener : a centennial symposium in honor of the 100th anniversary of Norbert Wiener's birth, October 8-14, 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts by Daniel W Stroock( Book )

13 editions published between 1997 and 2012 in English and held by 326 WorldCat member libraries worldwide

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 )

4 editions published in 1980 in English and held by 301 WorldCat member libraries 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 Yang-Mills 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
Surveys in differential geometry : papers dedicated to Atiyah, Bott, Hirzebruch, and Singer by Conference on Geometry and Topology( Book )

14 editions published between 2000 and 2002 in English and held by 210 WorldCat member libraries worldwide

Quantum field theory, supersymmetry, and enumerative geometry( Book )

10 editions published between 2006 and 2007 in English and held by 191 WorldCat member libraries worldwide

Each summer the IAS/Park City Mathematics Institute Graduate Summer School gathers some of the best researchers and educators in a particular field to present diverse sets of lectures. This volume presents three weeks of lectures given at the Summer School on Quantum Field Theory, Supersymmetry, and Enumerative Geometry, three very active research areas in mathematics and theoretical physics. With this volume, the Park City Mathematics Institute returns to the general topic of the first institute: the interplay between quantum field theory and mathematics. Two major themes at this institute we
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

Recent developments in gauge theories by G. 't Hooft( )

3 editions published in 1980 in English and held by 55 WorldCat member libraries worldwide

Almost all theories of fundamental interactions are nowadays based on the gauge concept. Starting with the historical example of quantum electrodynamics, we have been led to the successful unified gauge theory of weak and electromagnetic interactions, and finally to a non abelian gauge theory of strong interactions with the notion of permanently confined quarks. The. early theoretical work on gauge theories was devoted to proofs of renormalizability, investigation of short distance behaviour, the discovery of asymptotic freedom, etc . . , aspects which were accessible to tools extrapolated from renormalised perturbation theory. The second phase of the subject is concerned with the problem of quark confinement which necessitates a non-perturbative understanding of gauge theories. This phase has so far been marked by the introduc­ tion of ideas from geometry, topology and statistical mechanics in particular the theory of phase transitions. The 1979 Cargese Institute on "Recent Developments on Gauge Theories" was devoted to a thorough discussion of these non-perturbative, global aspects of non-abelian gauge theories. In the lectures and seminars reproduced in this volume the reader wilf find detailed reports on most of the important developments of recent times on non perturbative gauge fields by some of the leading experts and innovators in this field. Aside from lectures on gauge fields proper, there were lectures on gauge field concepts in condensed matter physics and lectures by mathematicians on global aspects of the calculus of variations, its relation to geometry and topology, and related topics
Progress in gauge field theory by G. 't Hooft( )

1 edition published in 1984 in English and held by 51 WorldCat member libraries worldwide

The importance of gauge theory for elementary particle physics is by now firmly established. Recent experiments have yielded con vincing evidence for the existence of intermediate bosons, the carriers of the electroweak gauge force, as well as for the presence of gluons, the carriers of the strong gauge force, in hadronic inter actions. For the gauge theory of strong interactions, however, a number of important theoretical problems remain to be definitely resolved. They include the quark confinement problem, the quantita tive study of the hadron mass spectrum as well as the role of topo logy in quantum gauge field theory. These problems require for their solution the development and application of non-perturbative methods in quantum gauge field theory. These problems, and their non-pertur bative analysis, formed the central interest of the 1983 Cargese summer institute on "Progress in Gauge Field Theory." In this sense it was a natural sequel to the 1919 Cargese summer institute on "Recent Developments in Gauge Theories." Lattice gauge theory provides a systematic framework for the investigation of non-perturbative quantum effects. Accordingly, a large number of lectures dealt with lattice gauge theory. Following a systematic introduction to the subject, the renormalization group method was developed both as a rigorous tool for fundamental questions, and in the block-spin formulation, the computations by Monte Carlo programs. A detailed analysis was presented of the problems encountered in computer simulations. Results obtained by this method on the mass spectrum were reviewed
Prospects in Mathematics. (AM-70) by Friedrich Hirzebruch( )

2 editions published between 1972 and 2016 in English and held by 33 WorldCat member libraries worldwide

Five papers by distinguished American and European mathematicians describe some current trends in mathematics in the perspective of the recent past and in terms of expectations for the future. Among the subjects discussed are algebraic groups, quadratic forms, topological aspects of global analysis, variants of the index theorem, and partial differential equations
Differential geometry; lectures by I. M Singer( Book )

6 editions published in 1962 in English and held by 32 WorldCat member libraries worldwide

K-theory and operator algebras : proceedings of a conference held at the University of Georgia in Athens, Georgia, April 21-25,1975 by Conference on K-Theory and Operator Algebras( Book )

3 editions published in 1977 in English and held by 30 WorldCat member libraries worldwide

Perspectives in mathematics and physics : essays dedicated to Isadore Singer's 85th birthday( Book )

4 editions published in 2011 in English and held by 27 WorldCat member libraries worldwide

This volume honors the 85th birthday of our friend and teacher Isadore Singer. We organized a conference to honor this event in May of 2009. The lectures were given at the Massachusetts Institute of Technology and at Harvard University. Included herein are papers by many of the speakers, as well as contributions from friends of Is. The breadth and depth of these papers reflect the many areas of mathematics and physics that Is has influenced. Over the past 60 years, Singer’s work has transformed many areas of mathematics and physics. Singer is a major force in transforming work in geometry from a local to a global point of view, as well as pioneering the modern interactions between mathematics and physics
The Legacy of John VonNeumann : [proceedings of the Summer Research Institute on the Legacy of John VonNeumann, held at Hofstra University, Hempstead, New York, May 29 - June 4, 1988] by John Impagliazzo( )

4 editions published between 1990 and 2014 in English and held by 23 WorldCat member libraries worldwide

Index theory for skew-adjoint Fredholm operators by Michael Francis Atiyah( Book )

7 editions published in 1969 in English and French and held by 22 WorldCat member libraries worldwide

The current interface of geometry and elementary particle physics by I. M Singer( Visual )

4 editions published between 1994 and 2012 in English and held by 22 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."
Lezioni di topologia elementare e di geometria by I. M Singer( Book )

2 editions published in 1980 in Italian and held by 21 WorldCat member libraries worldwide

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Lecture notes on elementary topology and geometry
The unity of mathematics : in honor of the ninetieth birthday of I.M. GelfandK-theory and operator algebras : proceedings of a conference held at the University of Georgia in Athens, Georgia, April 21-25, 1975The legacy of Norbert Wiener : a centennial symposium in honor of the 100th anniversary of Norbert Wiener's birth, October 8-14, 1994, Massachusetts Institute of Technology, Cambridge, MassachusettsQuantum field theory, supersymmetry, and enumerative geometry
Alternative Names
Isadore M. Singer

Isadore M. Singer amerikansk matematiker

Isadore M. Singer matematico statunitense

Isadore M. Singer US-amerikanischer Mathematiker

Isadore Singer americký matematik

Isadore Singer Amerikaans wiskundige

Isadore Singer amerikansk matematikar

Isadore Singer amerikansk matematiker

Isadore Singer matemàtic estatunidenc

Isadore Singer matemático estadounidense

Isadore Singer matematico statunitense

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-

Singer-Thorpe, .. 1924-

Зингер, Изадор

איזדור מנואל זינגר מתמטיקאי אמריקאי

إيسادور سينغر رياضياتي أمريكي

ایسادور سینگر ریاضی‌دان آمریکایی

이자도어 싱어


シンガー, I.M.