Gelʹfand, I. M. (Izrailʹ Moiseevich)
Overview
Works:  317 works in 1,533 publications in 8 languages and 16,021 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
 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 )
 Geometry and physics : essays in honour of I.M. Gelfand( Book )
 Gelfand, Israel M. : algebra analysis geometry topology( )
Most widely held works by
I. M Gelʹfand
Calculus of variations by
I. M Gelʹfand(
Book
)
71 editions published between 1961 and 2012 in 4 languages and held by 1,233 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
71 editions published between 1961 and 2012 in 4 languages and held by 1,233 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
)
75 editions published between 1948 and 1998 in 4 languages and held by 868 WorldCat member libraries worldwide
75 editions published between 1948 and 1998 in 4 languages and held by 868 WorldCat member libraries worldwide
The method of coordinates by
I. M Gelʹfand(
Book
)
48 editions published between 1965 and 2002 in 3 languages and held by 822 WorldCat member libraries worldwide
48 editions published between 1965 and 2002 in 3 languages and held by 822 WorldCat member libraries worldwide
Generalized functions by
I. M Gelʹfand(
Book
)
33 editions published between 1964 and 2016 in 3 languages and held by 709 WorldCat member libraries worldwide
33 editions published between 1964 and 2016 in 3 languages and held by 709 WorldCat member libraries worldwide
Commutative normed rings by
I. M Gelʹfand(
Book
)
42 editions published between 1957 and 2011 in 5 languages and held by 692 WorldCat member libraries worldwide
42 editions published between 1957 and 2011 in 5 languages and held by 692 WorldCat member libraries worldwide
Representation theory and automorphic functions by
I. M Gelʹfand(
Book
)
55 editions published between 1964 and 2016 in 3 languages and held by 658 WorldCat member libraries worldwide
55 editions published between 1964 and 2016 in 3 languages and held by 658 WorldCat member libraries worldwide
Discriminants, resultants, and multidimensional determinants by
I. M Gelʹfand(
Book
)
24 editions published between 1994 and 2013 in English and Spanish and held by 481 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
24 editions published between 1994 and 2013 in English and Spanish and held by 481 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
Representations of the rotation and Lorentz groups and their applications by
I. M Gelʹfand(
Book
)
26 editions published between 1963 and 2012 in English and held by 473 WorldCat member libraries worldwide
26 editions published between 1963 and 2012 in English and held by 473 WorldCat member libraries worldwide
Les distributions by
I. M Gelʹfand(
Book
)
53 editions published between 1961 and 1972 in French and English and held by 442 WorldCat member libraries worldwide
53 editions published between 1961 and 1972 in French and English and held by 442 WorldCat member libraries worldwide
Verallgemeinerte Funktionen (Distributionen) by
I. M Gelʹfand(
Book
)
76 editions published between 1958 and 1969 in 5 languages and held by 430 WorldCat member libraries worldwide
76 editions published between 1958 and 1969 in 5 languages and held by 430 WorldCat member libraries worldwide
Functions and graphs by
I. M Gelʹfand(
Book
)
22 editions published between 1968 and 2013 in English and held by 422 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
22 editions published between 1968 and 2013 in English and held by 422 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 4 languages and held by 418 WorldCat member libraries worldwide
26 editions published between 1993 and 2004 in 4 languages and held by 418 WorldCat member libraries worldwide
Trigonometry by
I. M Gelʹfand(
Book
)
15 editions published between 1999 and 2001 in English and held by 415 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
15 editions published between 1999 and 2001 in English and held by 415 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
)
21 editions published between 1968 and 1969 in English and held by 386 WorldCat member libraries worldwide
21 editions published between 1968 and 1969 in English and held by 386 WorldCat member libraries worldwide
Les distributions by
I. M Gelʹfand(
Book
)
66 editions published between 1958 and 2000 in 6 languages and held by 328 WorldCat member libraries worldwide
Spaces of Fundamental and Generalized Functions, Volume 2, analyzes the general theory of linear topological spaces. The basis of the theory of generalized functions is the theory of the socalled countably normed spaces (with compatible norms), their unions (inductive limits), and also of the spaces conjugate to the countably normed ones or their unions. This set of spaces is sufficiently broad on the one hand, and sufficiently convenient for the analyst on the other. The book opens with a chapter that discusses the theory of these spaces. This is followed by separate chapters on fundamental
66 editions published between 1958 and 2000 in 6 languages and held by 328 WorldCat member libraries worldwide
Spaces of Fundamental and Generalized Functions, Volume 2, analyzes the general theory of linear topological spaces. The basis of the theory of generalized functions is the theory of the socalled countably normed spaces (with compatible norms), their unions (inductive limits), and also of the spaces conjugate to the countably normed ones or their unions. This set of spaces is sufficiently broad on the one hand, and sufficiently convenient for the analyst on the other. The book opens with a chapter that discusses the theory of these spaces. This is followed by separate chapters on fundamental
Models of the structuralfunctional organization of certain biological systems by
I. M Gelʹfand(
Book
)
8 editions published between 1966 and 1971 in English and Russian and held by 324 WorldCat member libraries worldwide
8 editions published between 1966 and 1971 in English and Russian and held by 324 WorldCat member libraries worldwide
Functional analysis on the eve of the 21st century(
Book
)
22 editions published between 1995 and 1996 in English and Undetermined and held by 312 WorldCat member libraries worldwide
22 editions published between 1995 and 1996 in English and Undetermined and held by 312 WorldCat member libraries worldwide
Representation theory : selected papers by
I. M Gelʹfand(
Book
)
14 editions published in 1982 in English and held by 306 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
14 editions published in 1982 in English and held by 306 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
Lie groups and their representations : [proceedings of] Summer School of the Bolyai János Mathematical Society by Summer School on Group Representations(
Book
)
31 editions published between 1971 and 1975 in 4 languages and held by 296 WorldCat member libraries worldwide
31 editions published between 1971 and 1975 in 4 languages and held by 296 WorldCat member libraries worldwide
The unity of mathematics : in honor of the ninetieth birthday of I.M. Gelfand by
P. I Etingof(
Book
)
11 editions published in 2006 in English and held by 209 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
11 editions published in 2006 in English and held by 209 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
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Related Identities
 Shilov, G. E. (Georgiĭ Evgenʹevich) Other Contributor Creator
 Glagoleva, E. G. (Elena Georgievna)
 Fomin, S. V. (Sergeĭ Vasilʹevich)
 Graev, M. I. (Mark Iosifovich) Contributor
 Gindikin, S. G. (Semen Grigorʹevich) Other Editor
 Shnolʹ, Ė. Ė (Ėmmanuil Ėlʹevich)
 Kirillov, A. A. (Aleksandr Aleksandrovich) 1936 Editor
 Silverman, Richard A. Other Translator Editor
 Retakh, Vladimir Editor
 Pi︠a︡tet︠s︡kiĭShapiro, I. I. (Ilʹi︠a︡ Iosifovich) 19292009
Useful Links
Associated Subjects
Algebra AlgebraGraphic methods Algebras, Linear Automorphic functions Banach algebras Biological control systemsMathematical models Calculus of variations Canada Continuous groups Coordinates Determinants Differential equations Discriminant analysis Functional analysis Functional equationsNumerical solutions Functions Gelʹfand, I. M.(Izrailʹ Moiseevich) Generalized spaces Geometry Geometry, Algebraic Geometry, Differential Graphic methods Group theory Harmonic analysis Hilbert space Hyperspace Integral geometry Ktheory Lattice theory Lie algebras Lie groups Mathematical physics Mathematicians Mathematics Physics Plane trigonometry Quantum theory Representations of algebras Representations of groups Representations of Lie groups Rings (Algebra) Scientists Soviet Union Substitutions, Linear Theory of distributions (Functional analysis) Topological groups United States
Alternative Names
19132009 19132009
Gel Fand, I. M.
Gelfand, I.
Gelfand, I. (Izrailʹ)
Gelfand, I. M.
Gelfand, I. M. 1913
Gelʹfand, I. M. 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
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
Gelʹfand Ïzraïlʹ Moïseyevïç
Gel'fand, Izrail' Moisseevich.
Gelfand, Izrail' Mojseevič
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 Russisch wiskundige (19132009)
Israel Gelfand soviet mathematician
Israel Moissejewitsch Gelfand sowjetischer Mathematiker
Izrail Gélfand
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
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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