Gelʹfand, I. M. (Izrailʹ Moiseevich)
Overview
Works:  404 works in 1,764 publications in 9 languages and 17,522 library holdings 

Genres:  Conference papers and proceedings Biography 
Roles:  Author, Editor, Honoree, Creator, Other, Dedicatee, Interviewee 
Classifications:  QA331, 517.5 
Publication Timeline
.
Most widely held works about
I. M Gelʹfand
 Collected papers by I. M Gelʹfand( Book )
 Interview with I.M. Gelfand, Rutgers University : conducted during the Joint Mathematics Meeting in Baltimore, MD, January 11, 1992 by I. M Gelʹfand( Visual )
 Collected papers by I. M Gelʹfand( Book )
 Izrail M Gelfand : collected papers. Vols 1 to 3 by I. M Gelʹfand( Book )
 I.M. Gelfand Seminar( Book )
 Geometry and physics : essays in honour of I.M. Gelfand( Book )
 Collected papers by I. M Gelʹfand( Book )
 Gelfand, Israel M. : algebra analysis geometry topology( )
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Most widely held works by
I. M Gelʹfand
Calculus of variations by
I. M Gelʹfand(
Book
)
75 editions published between 1963 and 2012 in 3 languages and held by 1,220 WorldCat member libraries worldwide
First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices
75 editions published between 1963 and 2012 in 3 languages and held by 1,220 WorldCat member libraries worldwide
First 6 chapters include theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers application of variation methods to systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. Problems follow each chapter and the 2 appendices
Lectures on linear algebra by
I. M Gelʹfand(
Book
)
74 editions published between 1950 and 1998 in 4 languages and held by 873 WorldCat member libraries worldwide
74 editions published between 1950 and 1998 in 4 languages and held by 873 WorldCat member libraries worldwide
Functions and graphs by
I. M Gelʹfand(
Book
)
57 editions published between 1968 and 2017 in English and Japanese and held by 832 WorldCat member libraries worldwide
The second in a series of systematic studies by a celebrated mathematician I.M. Gelfand and colleagues, this volume presents students with a wellillustrated sequence of problems and exercises designed to illuminate the properties of functions and graphs. Since readers do not have the benefit of a blackboard on which a teacher constructs a graph, the authors abandoned the customary use of diagrams in which only the final form of the graph appears; instead, the book's margins feature stepbystep diagrams for the complete construction of each graph. The first part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The second half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions
57 editions published between 1968 and 2017 in English and Japanese and held by 832 WorldCat member libraries worldwide
The second in a series of systematic studies by a celebrated mathematician I.M. Gelfand and colleagues, this volume presents students with a wellillustrated sequence of problems and exercises designed to illuminate the properties of functions and graphs. Since readers do not have the benefit of a blackboard on which a teacher constructs a graph, the authors abandoned the customary use of diagrams in which only the final form of the graph appears; instead, the book's margins feature stepbystep diagrams for the complete construction of each graph. The first part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The second half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions
Commutative normed rings by
I. M Gelʹfand(
Book
)
35 editions published between 1957 and 2003 in 4 languages and held by 699 WorldCat member libraries worldwide
35 editions published between 1957 and 2003 in 4 languages and held by 699 WorldCat member libraries worldwide
Generalized functions by
I. M Gelʹfand(
Book
)
13 editions published between 1964 and 1968 in English and held by 669 WorldCat member libraries worldwide
13 editions published between 1964 and 1968 in English and held by 669 WorldCat member libraries worldwide
The method of coordinates by
I. M Gelʹfand(
Book
)
31 editions published between 1965 and 2004 in English and held by 621 WorldCat member libraries worldwide
31 editions published between 1965 and 2004 in English and held by 621 WorldCat member libraries worldwide
Representation theory and automorphic functions by
I. M Gelʹfand(
Book
)
41 editions published between 1966 and 2016 in English and Russian and held by 603 WorldCat member libraries worldwide
41 editions published between 1966 and 2016 in English and Russian and held by 603 WorldCat member libraries worldwide
Representations of the rotation and Lorentz groups and their applications by
I. M Gelʹfand(
Book
)
29 editions published between 1958 and 2012 in English and Russian and held by 515 WorldCat member libraries worldwide
29 editions published between 1958 and 2012 in English and Russian and held by 515 WorldCat member libraries worldwide
Discriminants, resultants, and multidimensional determinants by
I. M Gelʹfand(
Book
)
27 editions published between 1994 and 2013 in English and Spanish and held by 503 WorldCat member libraries worldwide
"This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory."Mathematical Reviews "Collecting and extending the fundamental and highly original results of the authors, it presents a unique blend of classical mathematics and very recent developments in algebraic geometry, homological algebra, and combinatorial theory."Zentralblatt Math "This book is highly recommended if you want to get into the thick of contemporary algebra, or if you wish to find some interesting problem to work on, whose solution will benefit mankind."GianCarlo Rota, Advanced Book Reviews " ... the book is almost perfectly written, and thus I warmly recommend it not only to scholars but especially to students. The latter do need a text with broader views, which shows that mathematics is not just a sequence of apparently unrelated expositions of new theories ... but instead a very huge and intricate building whose edification may sometimes experience difficulties ... but eventually progresses steadily."Bulletin of the American Mathematical Society
27 editions published between 1994 and 2013 in English and Spanish and held by 503 WorldCat member libraries worldwide
"This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory."Mathematical Reviews "Collecting and extending the fundamental and highly original results of the authors, it presents a unique blend of classical mathematics and very recent developments in algebraic geometry, homological algebra, and combinatorial theory."Zentralblatt Math "This book is highly recommended if you want to get into the thick of contemporary algebra, or if you wish to find some interesting problem to work on, whose solution will benefit mankind."GianCarlo Rota, Advanced Book Reviews " ... the book is almost perfectly written, and thus I warmly recommend it not only to scholars but especially to students. The latter do need a text with broader views, which shows that mathematics is not just a sequence of apparently unrelated expositions of new theories ... but instead a very huge and intricate building whose edification may sometimes experience difficulties ... but eventually progresses steadily."Bulletin of the American Mathematical Society
Algebra by
I. M Gelʹfand(
Book
)
26 editions published between 1993 and 2004 in 5 languages and held by 419 WorldCat member libraries worldwide
26 editions published between 1993 and 2004 in 5 languages and held by 419 WorldCat member libraries worldwide
Trigonometry by
I. M Gelʹfand(
Book
)
14 editions published between 1999 and 2001 in English and held by 419 WorldCat member libraries worldwide
Trigonometry, a work in the collection of the Gelfand School Program, is the result of a collaboration between two experienced precollege teachers, one of whom, I.M. Gelfand, is considered to be among our most distinguished living mathematicians. His impact on generations of young people, some now mathematicians of renown, continues to be remarkable. Trigonometry covers all the basics of the subject through beautiful illustrations and examples. The definitions of the trigonometric functions are geometrically motivated. Geometric relationships are rewritten in trigonometric form and extended. The text then makes a transition to the study of algebraic and analytic properties of trigonometric functions, in a way that provides a solid foundation for more advanced mathematical discussions. Throughout, the treatment stimulates the reader to think of mathematics as a unified subject. Like other I.M. Gelfand treasures in the programAlgebra, Functions and Graphs, and The Method of CoordinatesTrigonometry is written in an engaging style, and approaches the material in a unique fashion that will motivate students and teachers alike. From a review of Algebra, I.M. Gelfand and A. Shen, ISBN 0817636773: "The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gel'fand and Shen. There are specific 'practical' problems but there is much more development of the ideas ... [The authors] have shown how to write a serious yet lively book on algebra."R. Askey, The American Mathematics Monthly
14 editions published between 1999 and 2001 in English and held by 419 WorldCat member libraries worldwide
Trigonometry, a work in the collection of the Gelfand School Program, is the result of a collaboration between two experienced precollege teachers, one of whom, I.M. Gelfand, is considered to be among our most distinguished living mathematicians. His impact on generations of young people, some now mathematicians of renown, continues to be remarkable. Trigonometry covers all the basics of the subject through beautiful illustrations and examples. The definitions of the trigonometric functions are geometrically motivated. Geometric relationships are rewritten in trigonometric form and extended. The text then makes a transition to the study of algebraic and analytic properties of trigonometric functions, in a way that provides a solid foundation for more advanced mathematical discussions. Throughout, the treatment stimulates the reader to think of mathematics as a unified subject. Like other I.M. Gelfand treasures in the programAlgebra, Functions and Graphs, and The Method of CoordinatesTrigonometry is written in an engaging style, and approaches the material in a unique fashion that will motivate students and teachers alike. From a review of Algebra, I.M. Gelfand and A. Shen, ISBN 0817636773: "The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gel'fand and Shen. There are specific 'practical' problems but there is much more development of the ideas ... [The authors] have shown how to write a serious yet lively book on algebra."R. Askey, The American Mathematics Monthly
Les distributions by
I. M Gelʹfand(
Book
)
55 editions published between 1962 and 2014 in 4 languages and held by 354 WorldCat member libraries worldwide
Integral Geometry and Representation Theory
55 editions published between 1962 and 2014 in 4 languages and held by 354 WorldCat member libraries worldwide
Integral Geometry and Representation Theory
Representation theory : selected papers by
I. M Gelʹfand(
Book
)
20 editions published between 1982 and 2008 in English and Undetermined and held by 327 WorldCat member libraries worldwide
The unifying theme of this collection of papers by the very creative Russian mathematician I. M. Gelfand and his coworkers is the representation theory of groups and lattices. Two of the papers were inspired by application to theoretical physics; the others are pure mathematics though all the papers will interest mathematicians at quite opposite ends of the subject. Dr. G. Segal and Professor CM. Ringel have written introductions to the papers which explain the background, put them in perspective and make them accessible to those with no specialist knowledge in the area
20 editions published between 1982 and 2008 in English and Undetermined and held by 327 WorldCat member libraries worldwide
The unifying theme of this collection of papers by the very creative Russian mathematician I. M. Gelfand and his coworkers is the representation theory of groups and lattices. Two of the papers were inspired by application to theoretical physics; the others are pure mathematics though all the papers will interest mathematicians at quite opposite ends of the subject. Dr. G. Segal and Professor CM. Ringel have written introductions to the papers which explain the background, put them in perspective and make them accessible to those with no specialist knowledge in the area
Functional analysis on the eve of the 21st century by
S. G Gindikin(
Book
)
21 editions published between 1995 and 1996 in English and held by 325 WorldCat member libraries worldwide
These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last halfcentury. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry. The second of the two volumes contains the somewhat more 'geometric' papers, although such a designation is to a certain extent arbitrary, because of the breadth of the papers
21 editions published between 1995 and 1996 in English and held by 325 WorldCat member libraries worldwide
These two volumes contain eighteen invited papers by distinguished mathematicians in honor of the eightieth birthday of Israel M. Gelfand, one of the most remarkable mathematicians of our time. Gelfand has played a crucial role in the development of functional analysis during the last halfcentury. His work and his philosophy have in fact helped shape our understanding of the term 'functional analysis'. The papers in these volumes largely concern areas in which Gelfand has a very strong interest today, including geometric quantum field theory, representation theory, combinatorial structures underlying various 'continuous' constructions, quantum groups and geometry. The second of the two volumes contains the somewhat more 'geometric' papers, although such a designation is to a certain extent arbitrary, because of the breadth of the papers
Models of the structuralfunctional organization of certain biological systems by
I. M Gelʹfand(
Book
)
12 editions published between 1966 and 1971 in English and Russian and held by 320 WorldCat member libraries worldwide
12 editions published between 1966 and 1971 in English and Russian and held by 320 WorldCat member libraries worldwide
Lie groups and their representations : [proceedings of] Summer School of the Bolyai János Mathematical Society by Summer School on Group Representations(
Book
)
40 editions published between 1971 and 1975 in 4 languages and held by 318 WorldCat member libraries worldwide
40 editions published between 1971 and 1975 in 4 languages and held by 318 WorldCat member libraries worldwide
Verallgemeinerte Funktionen (Distributionen) by
I. M Gelʹfand(
Book
)
60 editions published between 1960 and 1969 in 4 languages and held by 293 WorldCat member libraries worldwide
60 editions published between 1960 and 1969 in 4 languages and held by 293 WorldCat member libraries worldwide
Coxeter matroids by
Alexandre Borovik(
Book
)
10 editions published in 2003 in English and held by 247 WorldCat member libraries worldwide
Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This interdisciplinary and comprehensive treatment of Coxeter matroids provides an introduction to the subject
10 editions published in 2003 in English and held by 247 WorldCat member libraries worldwide
Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This interdisciplinary and comprehensive treatment of Coxeter matroids provides an introduction to the subject
The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand by
P. I Etingof(
Book
)
13 editions published in 2006 in English and held by 218 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
13 editions published in 2006 in English and held by 218 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
The Gelfand mathematical seminars : 19901992 by
I. M Gelʹfand(
Book
)
25 editions published between 1993 and 2000 in English and Italian and held by 178 WorldCat member libraries worldwide
This Seminar began in Moscow in November 1943 and has continued without interruption up to the present. We are happy that with this vol ume, Birkhiiuser has begun to publish papers of talks from the Seminar. It was, unfortunately, difficult to organize their publication before 1990. Since 1990, most of the talks have taken place at Rutgers University in New Brunswick, New Jersey. Parallel seminars were also held in Moscow, and during July, 1992, at IRES in BuressurYvette, France. Speakers were invited to submit papers in their own style, and to elaborate on what they discussed in the Seminar. We hope that readers will find the diversity of styles appealing, and recognize that to some extent this reflects the diversity of styles in a mathematical society. The principal aim was to have interesting talks, even if the topic was not especially popular at the time. The papers listed in the Table of Contents reflect some of the rich variety of ideas presented in the Seminar. Not all the speakers submit ted papers. Among the interesting talks that influenced the seminar in an important way, let us mention, for example, that of R. Langlands on per colation theory and those of J. Conway and J. McKay on sporadic groups. In addition, there were many extemporaneous talks as well as short discus sions
25 editions published between 1993 and 2000 in English and Italian and held by 178 WorldCat member libraries worldwide
This Seminar began in Moscow in November 1943 and has continued without interruption up to the present. We are happy that with this vol ume, Birkhiiuser has begun to publish papers of talks from the Seminar. It was, unfortunately, difficult to organize their publication before 1990. Since 1990, most of the talks have taken place at Rutgers University in New Brunswick, New Jersey. Parallel seminars were also held in Moscow, and during July, 1992, at IRES in BuressurYvette, France. Speakers were invited to submit papers in their own style, and to elaborate on what they discussed in the Seminar. We hope that readers will find the diversity of styles appealing, and recognize that to some extent this reflects the diversity of styles in a mathematical society. The principal aim was to have interesting talks, even if the topic was not especially popular at the time. The papers listed in the Table of Contents reflect some of the rich variety of ideas presented in the Seminar. Not all the speakers submit ted papers. Among the interesting talks that influenced the seminar in an important way, let us mention, for example, that of R. Langlands on per colation theory and those of J. Conway and J. McKay on sporadic groups. In addition, there were many extemporaneous talks as well as short discus sions
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Audience Level
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Related Identities
 Shilov, G. E. (Georgiĭ Evgenʹevich) Other Creator
 Glagoleva, E. G. (Elena Georgievna)
 Gindikin, S. G. (Semen Grigorʹevich) Other Editor
 Fomin, S. V. (Sergeĭ Vasilʹevich)
 Graev, M. I. (Mark Iosifovich) Contributor
 Shnolʹ, Ė. Ė (Ėmmanuil Ėlʹevich)
 Kirillov, A. A. (Aleksandr Aleksandrovich) 1936 Editor
 Retakh, Vladimir Editor
 Silverman, Richard A. Other Translator Editor
 Vilenkin, N. I︠A︡ (Naum I︠A︡kovlevich) Author Contributor
Useful Links
Associated Subjects
Algebra AlgebraGraphic methods Algebras, Linear Automorphic functions Banach algebras Biological control systemsMathematical models Calculus of tensors Calculus of variations Canada Combinatorial analysis Continuous groups Coordinates Coxeter groups Determinants Discriminant analysis Functional analysis Functions Gelʹfand, I. M.(Izrailʹ Moiseevich) Geometry Geometry, Algebraic Geometry, Differential Graphic methods Group theory Harmonic analysis Hilbert space Ktheory Lattice theory Lie algebras Lie groups Linear operators Mathematical physics Mathematicians Mathematics MathematicsCongresses Matroids Physics Plane trigonometry Quantum theory Representations of algebras Representations of groups Representations of Lie groups Rings (Algebra) Russia Scientists Soviet Union Substitutions, Linear Theory of distributions (Functional analysis) Topological groups Topology United States
Alternative Names
1913 19132009
Gel Fand, I. M.
Gelfand, I.
Gelfand, I. (Izrailʹ)
Gelfand, I. M.
Gelfand, I. M. 1913
Gelʹfand, I. M. 19132009
Gelfand, I. M. (Izrailʹ Moiseevich)
Gelʹfand, I. M. (Izrailʹ Moiseevich), 19132009
Gelfand, Irving.
Gelfand, Israel 19132009
Gelfand, Israel M.
Gelfand, Israel M. 19132009
Gelʹfand, Israel Moiseevich
Gelfand, Israel Moiseevich 19132009
Gelfand, Israel Moissejewitsch 19132009
Gelfand, Israil M. 19132009
Gelfand, Israil Moïseevich
Gelfand Israil Moïseevich 19132009
Gel'fand, Israil' Moiseewič 19132009
Gelʹfand, Izrailʹ, 19132009
Gelfand, Izrail M.
Gel'fand, Izrail' M. 19132009
Gelf́and, Izrail Moiseevič
Gelʹfand Izrail Moiseevič 19132009
Gelʹfand, Izrailʹ Moïseevich
Gel'fand, Izrail' Moiseevich 1913
Gelʹfand, Izrailʹ Moiseevich 19132009
Gelfand, Izrail Moiseevitch 1913
Gelfand, Izrail Moiseevitch, 19132009
Gelʹfand Ïzraïlʹ Moïseyevïç
Gel'fand, Izrail' Moisseevich.
Gelfand, Izrail' Mojseevič
Gelfand, Izrail' Mojseevič, 19132009
Gel'fand, M. 19132009
Geļfands, I. 1913
Guelfand, I. M.
Guelfand, I. M. 19132009
Guelfand, Israil Moïseevich
Guelfand Israil Moïseevich 19132009
Guelf́and, Izrail ́Moiseevič
Guelfand ́, Izrail ́Moiseevitch
Guelfand, J. M. 19132009
Israel Gelfand matemàtic rus
Israel Gelfand matemático ruso
Israel Gelfand mathématicien soviétique
Israel Gelfand neuvostoliittolainen matemaatikko
Israel Gelfand Russisch wiskundige (19132009)
Israel Gelfand soviet mathematician
Israel Moissejewitsch Gelfand sowjetischer Mathematiker
Izrail Gélfand
Izrail Gélfand soviético matemático
Izrail' Moiseevič Gel'fand matematico sovietico
Izraiľ Moisejevič Geľfand
Гельфанд, И. М
Гельфанд, И. М. (Израиль Моисеевич)
Гельфанд, Израиль Моисеевич.
Гельфанд, Израиль Моисеевич 19132009
Гельфанд Ізраїль Мойсейович
Израел Гелфанд
ישראל גלפנד
ישראל גלפנד מתמטיקאי רוסי
إسرائيل غيلفاند
ایزرائیل گلفاند
گەلفاند ىيزراىيل موىيسەيەۆىيتش
இசுரேல் கெல்ஃபாண்ட்
이즈라일 겔판트
イズライル・ゲルファント
ゲリファンド, I. M.
ゲリファンド, И. М.
ゲリファント, イ・エム
ゲルファント, I. M.
ゲルファント, イズラエル モイセーヴィッチ
伊斯拉埃爾·蓋爾范德
Languages
English
(531)
French (60)
German (51)
Russian (29)
Italian (7)
Japanese (5)
Multiple languages (2)
Spanish (2)
Hungarian (1)
French (60)
German (51)
Russian (29)
Italian (7)
Japanese (5)
Multiple languages (2)
Spanish (2)
Hungarian (1)
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