Vilenkin, N. I︠A︡ (Naum I︠A︡kovlevich)
Overview
Works:  213 works in 619 publications in 11 languages and 5,543 library holdings 

Genres:  Popular works 
Roles:  Author, Translator, Creator, Editor, Contributor 
Classifications:  QA9, 511.322 
Publication Timeline
.
Most widely held works by
N. I︠A︡ Vilenkin
In search of infinity by
N. I︠A︡ Vilenkin(
Book
)
13 editions published between 1995 and 2013 in English and held by 793 WorldCat member libraries worldwide
The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of it foundations. The author of this book presents a popularlevel account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. In doing so, he brings to the general reader a deep insight into the nature of the problem and its importance to an understanding of our world. "When I read the first edition of the book, about 20 years ago, I was carried away by Vilenkins storytelling and his ability to bring subtle mathematical ideas down to earth. He stretches our imagination and educates our intuitionThe second edition improves on the first by omission of some routine material about finite properties of sets, and increased attention to infinity. There is a wealth of new material on the position of infinity in human thought, from philosophy to physics, and also on its role in the history of mathematics. In particular, there are now biographical notes on over 100 mathematicians. Abe Shenitzers elegant translation makes this a rare work of literaturea serious mathematical book that will be read from over to cover."John Stillwell, Monash University, Australia
13 editions published between 1995 and 2013 in English and held by 793 WorldCat member libraries worldwide
The concept of infinity has been for hundreds of years one of the most fascinating and elusive ideas to tantalize the minds of scholars and lay people alike. The theory of infinite sets lies at the heart of much of mathematics, yet is has produced a series of paradoxes that have led many scholars to doubt the soundness of it foundations. The author of this book presents a popularlevel account of the roads followed by human thought in attempts to understand the idea of the infinite in mathematics and physics. In doing so, he brings to the general reader a deep insight into the nature of the problem and its importance to an understanding of our world. "When I read the first edition of the book, about 20 years ago, I was carried away by Vilenkins storytelling and his ability to bring subtle mathematical ideas down to earth. He stretches our imagination and educates our intuitionThe second edition improves on the first by omission of some routine material about finite properties of sets, and increased attention to infinity. There is a wealth of new material on the position of infinity in human thought, from philosophy to physics, and also on its role in the history of mathematics. In particular, there are now biographical notes on over 100 mathematicians. Abe Shenitzers elegant translation makes this a rare work of literaturea serious mathematical book that will be read from over to cover."John Stillwell, Monash University, Australia
Stories about sets by
N. I︠A︡ Vilenkin(
Book
)
26 editions published between 1968 and 2014 in English and Undetermined and held by 731 WorldCat member libraries worldwide
26 editions published between 1968 and 2014 in English and Undetermined and held by 731 WorldCat member libraries worldwide
Special functions and the theory of group representations by
N. I︠A︡ Vilenkin(
Book
)
21 editions published between 1968 and 1998 in English and Undetermined and held by 473 WorldCat member libraries worldwide
21 editions published between 1968 and 1998 in English and Undetermined and held by 473 WorldCat member libraries worldwide
Functional analysis by
S. G Kreĭn(
Book
)
21 editions published between 1964 and 1977 in 3 languages and held by 337 WorldCat member libraries worldwide
This issue in a series of Handbooks of the Mathematical Library contains much material grouped basically around the theory of operators and operator equations. It presents the basic concepts and methods of functional analysis, theory of operators in Hilbert space and in conical space, the theory of nonlinear operator equations, the theory of standard rings applied to equations in partial derivatives, to integral equations. A separate chapter is devoted to the basic operator of quantum mechanics. Citing of the theory of generalized functions takes up a large part of the book. The book explains mathematical facts; theorems and formulas, as a rule, are given without proofs
21 editions published between 1964 and 1977 in 3 languages and held by 337 WorldCat member libraries worldwide
This issue in a series of Handbooks of the Mathematical Library contains much material grouped basically around the theory of operators and operator equations. It presents the basic concepts and methods of functional analysis, theory of operators in Hilbert space and in conical space, the theory of nonlinear operator equations, the theory of standard rings applied to equations in partial derivatives, to integral equations. A separate chapter is devoted to the basic operator of quantum mechanics. Citing of the theory of generalized functions takes up a large part of the book. The book explains mathematical facts; theorems and formulas, as a rule, are given without proofs
Successive approximation by
N. I︠A︡ Vilenkin(
Book
)
18 editions published in 1964 in 3 languages and held by 329 WorldCat member libraries worldwide
18 editions published in 1964 in 3 languages and held by 329 WorldCat member libraries worldwide
Fonctions spéciales et théories de la représentation des groupes by
N. I︠A︡ Vilenkin(
Book
)
16 editions published between 1965 and 1991 in 5 languages and held by 196 WorldCat member libraries worldwide
16 editions published between 1965 and 1991 in 5 languages and held by 196 WorldCat member libraries worldwide
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
11 editions published between 1991 and 1995 in English and held by 162 WorldCat member libraries worldwide
11 editions published between 1991 and 1995 in English and held by 162 WorldCat member libraries worldwide
Combinatorial mathematics for recreation by
N. I︠A︡ Vilenkin(
Book
)
32 editions published between 1969 and 1987 in 7 languages and held by 134 WorldCat member libraries worldwide
32 editions published between 1969 and 1987 in 7 languages and held by 134 WorldCat member libraries worldwide
Representation of Lie groups and special functions : recent advances by
N. I︠A︡ Vilenkin(
Book
)
10 editions published between 1995 and 2011 in English and held by 128 WorldCat member libraries worldwide
The present book is a continuation of the threevolume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special functions, bringing together material that has not been presented in monograph form before. The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated. Multivariate hypergeometric functions, multivariate Jacobi polynomials and hharmonic polynomials connected with root systems and Coxeter groups are introduced. Also, the theory of Gel'fand hypergeometric functions and the theory of multivariate hypergeometric series associated to ClebschGordan coefficients of the unitary group U(n) is given. The volume concludes with an extensive bibliography. For research mathematicians and physicists, postgraduate students in mathematics and mathematical and theoretical physics
10 editions published between 1995 and 2011 in English and held by 128 WorldCat member libraries worldwide
The present book is a continuation of the threevolume work Representation of Lie Groups and Special Functions by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special functions, bringing together material that has not been presented in monograph form before. The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and others) and multivariate hypergeometric functions associated to symmetric polynomials are treated. Multivariate hypergeometric functions, multivariate Jacobi polynomials and hharmonic polynomials connected with root systems and Coxeter groups are introduced. Also, the theory of Gel'fand hypergeometric functions and the theory of multivariate hypergeometric series associated to ClebschGordan coefficients of the unitary group U(n) is given. The volume concludes with an extensive bibliography. For research mathematicians and physicists, postgraduate students in mathematics and mathematical and theoretical physics
Method of successive approximations by
N. I︠A︡ Vilenkin(
Book
)
22 editions published between 1961 and 1994 in 7 languages and held by 124 WorldCat member libraries worldwide
22 editions published between 1961 and 1994 in 7 languages and held by 124 WorldCat member libraries worldwide
Les distributions by
I. M Gelʹfand(
Book
)
7 editions published in 1967 in French and held by 80 WorldCat member libraries worldwide
7 editions published in 1967 in French and held by 80 WorldCat member libraries worldwide
Unterhaltsame Mengenlehre by
N. I︠A︡ Vilenkin(
Book
)
13 editions published between 1972 and 1986 in German and held by 80 WorldCat member libraries worldwide
13 editions published between 1972 and 1986 in German and held by 80 WorldCat member libraries worldwide
Les Distributions by
I. M Gelʹfand(
Book
)
3 editions published in 1970 in French and held by 68 WorldCat member libraries worldwide
3 editions published in 1970 in French and held by 68 WorldCat member libraries worldwide
Generalized functions by
I. M Gelʹfand(
Book
)
10 editions published in 1966 in English and held by 63 WorldCat member libraries worldwide
10 editions published in 1966 in English and held by 63 WorldCat member libraries worldwide
Generalized functions by
I. M Gelʹfand(
Book
)
10 editions published in 1964 in English and Undetermined and held by 63 WorldCat member libraries worldwide
10 editions published in 1964 in English and Undetermined and held by 63 WorldCat member libraries worldwide
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
9 editions published between 1992 and 2011 in English and held by 54 WorldCat member libraries worldwide
9 editions published between 1992 and 2011 in English and held by 54 WorldCat member libraries worldwide
Applications of harmonic analysis by
I. M Gelʹfand(
Book
)
9 editions published between 1964 and 1968 in English and held by 46 WorldCat member libraries worldwide
9 editions published between 1964 and 1968 in English and held by 46 WorldCat member libraries worldwide
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
9 editions published between 1993 and 2011 in English and held by 42 WorldCat member libraries worldwide
9 editions published between 1993 and 2011 in English and held by 42 WorldCat member libraries worldwide
Simmetrii︠a︡ v algebre by
V. G Bolti︠a︡nskiĭ(
Book
)
10 editions published between 1967 and 2002 in Russian and held by 42 WorldCat member libraries worldwide
10 editions published between 1967 and 2002 in Russian and held by 42 WorldCat member libraries worldwide
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
9 editions published in 1991 in English and held by 37 WorldCat member libraries worldwide
9 editions published in 1991 in English and held by 37 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Scripta Technica, inc
 Gelʹfand, I. M. (Izrailʹ Moiseevich) Author
 Klimyk, A. U. (Anatoliĭ Ulʹi︠a︡novich) 1939
 Kreĭn, S. G. (Selim Grigorʹevich) 1917 Author Editor
 Votruba, George F. Editor
 Graev, M. I. (Mark Iosifovich) Contributor
 Feinstein, Amiel Translator
 Rideau, Guy Translator
 Chilov, Gueorgi Evguenievitch
 Gussi, G.
Useful Links
Associated Subjects
Algebra Approximation theory Astronomy Combinatorial analysis Equations EquationsNumerical solutions Functional analysis Functions, Special Harmonic analysis Hilbert space Infinite Integral transforms Lie groups Logic, Symbolic and mathematical Mathematical physics Mathematics Numerical analysis Polynomials Quantum groups Representations of groups Representations of Lie groups Set theory Theory of distributions (Functional analysis) Topological groups
Alternative Names
Naum Jakowlewitsch Wilenkin russischer Mathematiker
Naum Vilenkin mathmaticien russe
Naum Vilenkin Russian mathematician
Vilenkin, N.
Vilenkin, N. .
Vilenkin, N. IA
Vilenkin, N. J.
Vilenkin, N. J. 19201991
Vilenkin, N. Ja. 19201991
Vilenkin, N. Y.
Vilenkin N. Ya.
Vilenkin, N. Ya. 19201991
Vilenkin Naum Iakovlevich
Vilenkin, Naum I︠A︡kovlevich 19201991
Vilenkin, Naum Jakovlevič.
Vilenkin, Naum Jakovlevič 19201991
Vilenkin, Naum Jakovlevič. [t]
Vilenkin Naum Jakovlevich
Vilenkin, Naum Jakovlevich 19201991
Vilenkine, N.
Vilenkine Naoum Iakovlevitch 1920....
Viļenkins, N. 19201991
Wilenkin N. J.
Wilenkin, N. J. 19201991
Wilenkin, Naum J. 19201991
Wilenkin, Naum Yakowlewič 1991
Виленкин, Н. Я
Виленкин, Н. Я (Наум Яковлевич)
Виленкин, Наум Яковлевич.
Вілєнкін Наум Якович
Languages
English
(195)
Russian (28)
French (19)
German (16)
Hungarian (3)
Italian (2)
Polish (2)
Multiple languages (2)
Croatian (1)
Portuguese (1)
Czech (1)
Russian (28)
French (19)
German (16)
Hungarian (3)
Italian (2)
Polish (2)
Multiple languages (2)
Croatian (1)
Portuguese (1)
Czech (1)
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