WorldCat Identities

Gelʹfand, I. M. (Izrailʹ Moiseevich)

Overview
Works: 323 works in 1,778 publications in 9 languages and 17,633 library holdings
Genres: Conference papers and proceedings  Biography 
Roles: Author, Editor, Honoree, Creator, Other, Dedicatee, Interviewee
Classifications: QA331, 517.5
Publication Timeline
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Most widely held works by I. M Gelʹfand
Calculus of variations by I. M Gelʹfand( Book )

78 editions published between 1963 and 2012 in 3 languages and held by 1,226 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 university-level 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 English-language 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
Functions and graphs by I. M Gelʹfand( Book )

58 editions published between 1968 and 2017 in English and Japanese and held by 833 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 well-illustrated 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 step-by-step 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 )

45 editions published between 1957 and 2003 in 5 languages and held by 751 WorldCat member libraries worldwide

Generalized functions by I. M Gelʹfand( Book )

13 editions published between 1964 and 1968 in English and held by 668 WorldCat member libraries worldwide

The method of coordinates by I. M Gelʹfand( Book )

32 editions published between 1965 and 2004 in English and held by 622 WorldCat member libraries worldwide

Representation theory and automorphic functions by I. M Gelʹfand( Book )

40 editions published between 1966 and 2016 in English and Russian and held by 604 WorldCat member libraries worldwide

Verallgemeinerte Funktionen (Distributionen) by I. M Gelʹfand( Book )

120 editions published between 1960 and 1969 in 4 languages and held by 597 WorldCat member libraries worldwide

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Representations of the rotation and Lorentz groups and their applications by I. M Gelʹfand( Book )

41 editions published between 1953 and 2012 in 3 languages and held by 533 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."--Gian-Carlo 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
Trigonometry by I. M Gelʹfand( Book )

15 editions published between 1999 and 2003 in English and Russian and held by 420 WorldCat member libraries worldwide

Trigonometry, a work in the collection of the Gelfand School Program, is the result of a collaboration between two experienced pre-college 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 program-Algebra, Functions and Graphs, and The Method of Coordinates-Trigonometry 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 0-8176-3677-3: "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
Algebra by I. M Gelʹfand( Book )

26 editions published between 1993 and 2004 in 5 languages and held by 418 WorldCat member libraries worldwide

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 co-workers 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 C-M. 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 )

22 editions published between 1995 and 1996 in English and Undetermined and held by 326 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 half-century. 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 structural-functional 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

Les distributions by I. M Gelʹfand( Book )

49 editions published between 1962 and 1972 in French and English and held by 318 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 )

39 editions published between 1971 and 1975 in 4 languages and held by 317 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
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, 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
The Gelfand mathematical seminars : 1990-1992 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 Bures-sur-Yvette, 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
Geometry and physics : essays in honour of I.M. Gelfand( Book )

9 editions published in 1991 in English and held by 86 WorldCat member libraries worldwide

 
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Discriminants, resultants, and multidimensional determinants
Alternative Names
1913 1913-2009

Gel Fand, I. M.

Gelfand, I.

Gelfand, I. (Izrailʹ)

Gelfand, I. M.

Gelfand, I. M. 1913-

Gelʹfand, I. M. 1913-2009

Gelfand, I. M. (Izrailʹ Moiseevich)

Gelʹfand, I. M. (Izrailʹ Moiseevich), 1913-2009

Gelfand, Irving.

Gelfand, Israel 1913-2009

Gelfand, Israel M.

Gelfand, Israel M. 1913-2009

Gelʹfand, Israel Moiseevich

Gelfand, Israel Moiseevich 1913-2009

Gelfand, Israel Moissejewitsch 1913-2009

Gelfand, Israil M. 1913-2009

Gelfand, Israil Moïseevich

Gelfand Israil Moïseevich 1913-2009

Gel'fand, Israil' Moiseewič 1913-2009

Gelʹfand, Izrailʹ, 1913-2009

Gelfand, Izrail M.

Gel'fand, Izrail' M. 1913-2009

Gelf́and, Izrail Moiseevič

Gelʹfand Izrail Moiseevič 1913-2009

Gelʹfand, Izrailʹ Moïseevich

Gel'fand, Izrail' Moiseevich 1913-

Gelʹfand, Izrailʹ Moiseevich 1913-2009

Gelfand, Izrail Moiseevitch 1913-

Gelfand, Izrail Moiseevitch, 1913-2009

Gelʹfand Ïzraïlʹ Moïseyevïç

Gel'fand, Izrail' Moisseevich.

Gelfand, Izrail' Mojseevič

Gelfand, Izrail' Mojseevič, 1913-2009

Gel'fand, M. 1913-2009

Geļfands, I. 1913-

Guelfand, I. M.

Guelfand, I. M. 1913-2009

Guelfand, Israil Moïseevich

Guelfand Israil Moïseevich 1913-2009

Guelf́and, Izrail ́Moiseevič

Guelfand ́, Izrail ́Moiseevitch

Guelfand, J. M. 1913-2009

Israel Gelfand matemàtic rus

Israel Gelfand matemático ruso

Israel Gelfand mathématicien soviétique

Israel Gelfand neuvostoliittolainen matemaatikko

Israel Gelfand Russisch wiskundige (1913-2009)

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 1913-2009

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

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Functions and graphsCommutative normed ringsThe method of coordinatesDiscriminants, resultants, and multidimensional determinantsTrigonometryAlgebraRepresentation theory : selected papersFunctional analysis on the eve of the 21st century