Gelʹfand, I. M. (Izrailʹ Moiseevich)Overview
Publication Timeline
Most widely held works about
I. M Gelʹfand
Most widely held works by
I. M Gelʹfand
Calculus of variations
by I. M Gelʹfand
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Book
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32 editions published between 1963 and 2000 in English and held by 1,190 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
Representation theory selected papers
by I. M Gelʹfand
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5 editions published in 1982 in English and held by 767 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
Functions and graphs
by I. M Gelʹfand
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Book
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22 editions published between 1968 and 2002 in English and held by 764 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
Lectures on linear algebra
by I. M Gelʹfand
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Book
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18 editions published between 1950 and 1989 in English and Undetermined and held by 699 WorldCat member libraries worldwide
Generalized functions
by I. M Gelʹfand
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Book
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11 editions published between 1966 and 1974 in 3 languages and held by 659 WorldCat member libraries worldwide
The method of coordinates
by I. M Gelʹfand
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Book
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14 editions published between 1965 and 2002 in English and held by 588 WorldCat member libraries worldwide
Representation theory and automorphic functions
by I. M Gelʹfand
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Book
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20 editions published between 1968 and 1990 in English and Undetermined and held by 525 WorldCat member libraries worldwide
The unity of mathematics in honor of the ninetieth birthday of I.M. Gelfand
by P. I Etingof
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8 editions published between 2006 and 2007 in English and German and held by 493 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
Commutative normed rings
by I. M Gelʹfand
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Book
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12 editions published between 1957 and 2003 in English and held by 482 WorldCat member libraries worldwide
Representations of the rotation and Lorentz groups and their applications
by I. M Gelʹfand
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Book
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14 editions published in 1963 in English and Undetermined and held by 441 WorldCat member libraries worldwide
Discriminants, resultants, and multidimensional determinants
by I. M Gelʹfand
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Book
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10 editions published between 1994 and 2008 in English and held by 421 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
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Book
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14 editions published between 1993 and 2004 in English and Spanish and held by 390 WorldCat member libraries worldwide
Trigonometry
by I. M Gelʹfand
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Book
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5 editions published between 1999 and 2001 in English and held by 384 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
Models of the structuralfunctional organization of certain biological systems
by Institut biologicheskoĭ fiziki (Akademii︠a︡ nauk SSSR)
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Book
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2 editions published in 1971 in English and held by 306 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
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Book
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14 editions published between 1971 and 1975 in English and held by 266 WorldCat member libraries worldwide
Les distributions
by I. M Gelʹfand
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Book
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12 editions published between 1962 and 1965 in French and held by 261 WorldCat member libraries worldwide
Mathematical problems of tomography
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Book
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3 editions published in 1990 in English and held by 254 WorldCat member libraries worldwide
Coxeter matroids
by Alexandre Borovik
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Book
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4 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
Selected topics in integral geometry
by I. M Gelʹfand
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Book
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3 editions published in 2003 in English and held by 234 WorldCat member libraries worldwide
Neoplastic and normal cells in culture
by I︠U︡. M Vasilʹev
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Book
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5 editions published between 1980 and 1981 in English and held by 211 WorldCat member libraries worldwide more
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Audience Level
Related Identities
Associated Subjects
Algebra AlgebraGraphic methods Algebras, Linear Automorphic functions Banach algebras Biological control systemsMathematical models Calculus of variations Cancer cells Cell culture 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 Integral geometry Ktheory Lattice theory Lie algebras Lie groups Mathematical physics Mathematicians Mathematics Matroids Physics Plane trigonometry Quantum theory Representations of algebras Representations of groups Representations of Lie groups Russia Soviet Union Substitutions, Linear Theory of distributions (Functional analysis) Topological groups

Alternative Names
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, 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
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
Гельфанд, И. М
Гельфанд, И. М. (Израиль Моисеевич)
Гельфанд, Израиль Моисеевич.
Гельфанд, Израиль Моисеевич 19132009
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
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