Gelʹfand, I. M. (Izrailʹ Moiseevich)
Overview
Works:  378 works in 1,841 publications in 9 languages and 17,844 library holdings 

Genres:  Conference papers and proceedings Biography 
Roles:  Author, Editor, Honoree, Creator, Other, Dedicatee, Interviewee, Performer 
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 by I. M Gelʹfand( Book )
 I.M. Gelfand Seminar by I. M. Gelfand Seminar( Book )
 Geometry and physics : essays in honour of I.M. Gelfand( 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
)
79 editions published between 1961 and 2012 in 4 languages and held by 1,363 WorldCat member libraries worldwide
Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws. The reader who merely wishes to become familiar with the most basic concepts and methods of the calculus of variations need only study the first chapter. Students wishing a more extensive treatment, however, will find the first six chapters comprise a complete universitylevel course in the subject, including the theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers the application of variational methods to the study of systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. The problems following each chapter were made especially for this Englishlanguage edition, and many of them comment further on corresponding parts of the text. Two appendices and suggestions for supplementary reading round out the text. Substantially revised and corrected by the translator, this inexpensive new edition will be welcomed by advanced undergraduate and graduate students of mathematics and physics
79 editions published between 1961 and 2012 in 4 languages and held by 1,363 WorldCat member libraries worldwide
Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws. The reader who merely wishes to become familiar with the most basic concepts and methods of the calculus of variations need only study the first chapter. Students wishing a more extensive treatment, however, will find the first six chapters comprise a complete universitylevel course in the subject, including the theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers the application of variational methods to the study of systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. The problems following each chapter were made especially for this Englishlanguage edition, and many of them comment further on corresponding parts of the text. Two appendices and suggestions for supplementary reading round out the text. Substantially revised and corrected by the translator, this inexpensive new edition will be welcomed by advanced undergraduate and graduate students of mathematics and physics
Representation theory : selected papers by
I. M Gelʹfand(
)
20 editions published between 1982 and 2008 in English and Undetermined and held by 1,182 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
20 editions published between 1982 and 2008 in English and Undetermined and held by 1,182 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
Lectures on linear algebra by
I. M Gelʹfand(
Book
)
72 editions published between 1948 and 1998 in 4 languages and held by 866 WorldCat member libraries worldwide
72 editions published between 1948 and 1998 in 4 languages and held by 866 WorldCat member libraries worldwide
Generalized functions by
I. M Gelʹfand(
Book
)
15 editions published between 1964 and 1968 in English and held by 645 WorldCat member libraries worldwide
15 editions published between 1964 and 1968 in English and held by 645 WorldCat member libraries worldwide
The method of coordinates by
I. M Gelʹfand(
Book
)
33 editions published between 1965 and 2004 in English and held by 614 WorldCat member libraries worldwide
33 editions published between 1965 and 2004 in English and held by 614 WorldCat member libraries worldwide
Representation theory and automorphic functions by
I. M Gelʹfand(
Book
)
37 editions published between 1966 and 2016 in English and held by 577 WorldCat member libraries worldwide
37 editions published between 1966 and 2016 in English and held by 577 WorldCat member libraries worldwide
The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand by
P. I Etingof(
)
12 editions published in 2006 in English and held by 566 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
12 editions published in 2006 in English and held by 566 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
Discriminants, resultants, and multidimensional determinants by
I. M Gelʹfand(
Book
)
28 editions published between 1994 and 2013 in English and Spanish and held by 565 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
28 editions published between 1994 and 2013 in English and Spanish and held by 565 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
Commutative normed rings by
I. M Gelʹfand(
Book
)
24 editions published between 1957 and 2003 in English and Italian and held by 524 WorldCat member libraries worldwide
24 editions published between 1957 and 2003 in English and Italian and held by 524 WorldCat member libraries worldwide
Representations of the rotation and Lorentz groups and their applications by
I. M Gelʹfand(
Book
)
34 editions published between 1953 and 2018 in 3 languages and held by 521 WorldCat member libraries worldwide
34 editions published between 1953 and 2018 in 3 languages and held by 521 WorldCat member libraries worldwide
Trigonometry by
I. M Gelʹfand(
Book
)
16 editions published between 1999 and 2003 in English and Russian and held by 482 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
16 editions published between 1999 and 2003 in English and Russian and held by 482 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
Functions and graphs by
I. M Gelʹfand(
Book
)
33 editions published between 1968 and 2013 in English and held by 470 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
33 editions published between 1968 and 2013 in English and held by 470 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
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
Les distributions by
I. M Gelʹfand(
Book
)
44 editions published between 1962 and 1972 in French and English and held by 398 WorldCat member libraries worldwide
44 editions published between 1962 and 1972 in French and English and held by 398 WorldCat member libraries worldwide
Functions and graphs by
I. M Gelʹfand(
Book
)
in English and held by 336 WorldCat member libraries worldwide
in English and held by 336 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
)
43 editions published between 1971 and 1975 in 4 languages and held by 315 WorldCat member libraries worldwide
43 editions published between 1971 and 1975 in 4 languages and held by 315 WorldCat member libraries worldwide
Coxeter matroids by
Alexandre Borovik(
Book
)
10 editions published in 2003 in English and held by 303 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 303 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
Mathematical problems of tomography by
S. G Gindikin(
Book
)
12 editions published in 1990 in English and held by 300 WorldCat member libraries worldwide
12 editions published in 1990 in English and held by 300 WorldCat member libraries worldwide
Models of the structuralfunctional organization of certain biological systems by
I. M Gelʹfand(
Book
)
10 editions published in 1971 in English and held by 300 WorldCat member libraries worldwide
10 editions published in 1971 in English and held by 300 WorldCat member libraries worldwide
The Gelfand mathematical seminars : 19901992 by
I. M Gelʹfand(
)
27 editions published between 1993 and 2000 in English and Italian and held by 293 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
27 editions published between 1993 and 2000 in English and Italian and held by 293 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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Related Identities
 Shilov, G. E. (Georgiĭ Evgenʹevich) Other Creator
 Glagoleva, E. G. (Elena Georgievna)
 Gindikin, S. G. (Semen Grigorʹevich) Other Author Editor
 Graev, M. I. (Mark Iosifovich) Contributor
 Fomin, S. V. (Sergeĭ Vasilʹevich)
 Shnolʹ, Ė. Ė (Ėmmanuil Ėlʹevich)
 Kirillov, A. A. (Aleksandr Aleksandrovich) 1936 Editor
 Vilenkin, N. I︠A︡ (Naum I︠A︡kovlevich) Author Contributor
 Retakh, Vladimir Editor
 Silverman, Richard A. Other Translator Editor
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) Geometric tomography 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 Russia Scientists Soviet Union Substitutions, Linear Theory of distributions (Functional analysis) Topological groups Topology United States
Covers
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 ahli biologi asal Republik Sosialis Soviet Ukraina
Israel Gelfand matemàtic rus
Israel Gelfand matemático ruso
Israel Gelfand mathématicien soviétique, russe puis américain
Israel Gelfand neuvostoliittolainen matemaatikko
Israel Gelfand ruský matematik
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
Ίσραελ Γκέλφαντ
Гельфанд, И. М
Гельфанд, И. М. (Израиль Моисеевич)
Гельфанд, Израиль Моисеевич.
Гельфанд, Израиль Моисеевич 19132009
Гельфанд Ізраїль Мойсейович
Израел Гелфанд
Израиль Моисеевич Гельфанд советский и американский математик
ישראל גלפנד
ישראל גלפנד מתמטיקאי רוסי
إسرائيل غيلفاند
ایزرائیل قلفاند
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
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