Vilenkin, N. I︠A︡ (Naum I︠A︡kovlevich)
Overview
Works:  149 works in 408 publications in 8 languages and 5,026 library holdings 

Genres:  Popular works 
Roles:  Author, Creator, Contributor, Editor 
Classifications:  QA9, 511.322 
Publication Timeline
.
Most widely held works by
N. I︠A︡ Vilenkin
In search of infinity
by
N. I︠A︡ Vilenkin(
Book
)
14 editions published between 1983 and 2013 in English and Russian and held by 822 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
14 editions published between 1983 and 2013 in English and Russian and held by 822 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
Combinatorics
by
N. I︠A︡ Vilenkin(
Book
)
17 editions published between 1969 and 1987 in 7 languages and held by 767 WorldCat member libraries worldwide
17 editions published between 1969 and 1987 in 7 languages and held by 767 WorldCat member libraries worldwide
Stories about sets
by
N. I︠A︡ Vilenkin(
Book
)
22 editions published between 1968 and 2014 in English and Undetermined and held by 734 WorldCat member libraries worldwide
22 editions published between 1968 and 2014 in English and Undetermined and held by 734 WorldCat member libraries worldwide
Special functions and the theory of group representations
by
N. I︠A︡ Vilenkin(
Book
)
12 editions published between 1968 and 1988 in English and held by 446 WorldCat member libraries worldwide
12 editions published between 1968 and 1988 in English and held by 446 WorldCat member libraries worldwide
Successive approximation
by
N. I︠A︡ Vilenkin(
Book
)
13 editions published between 1961 and 1968 in English and Russian and held by 338 WorldCat member libraries worldwide
13 editions published between 1961 and 1968 in English and Russian and held by 338 WorldCat member libraries worldwide
Functional analysis
by
S. G Kreĭn(
Book
)
15 editions published between 1964 and 1972 in English and Russian and held by 331 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
15 editions published between 1964 and 1972 in English and Russian and held by 331 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
Representation of Lie groups and special functions
by
N. I︠A︡ Vilenkin(
Book
)
13 editions published between 1991 and 2011 in English and held by 277 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
13 editions published between 1991 and 2011 in English and held by 277 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
Fonctions spéciales et théories de la représentation des groupes
by
N. I︠A︡ Vilenkin(
Book
)
8 editions published in 1969 in 3 languages and held by 142 WorldCat member libraries worldwide
8 editions published in 1969 in 3 languages and held by 142 WorldCat member libraries worldwide
Method of successive approximations
by
N. I︠A︡ Vilenkin(
Book
)
10 editions published between 1961 and 1979 in 3 languages and held by 77 WorldCat member libraries worldwide
10 editions published between 1961 and 1979 in 3 languages and held by 77 WorldCat member libraries worldwide
Unterhaltsame Mengenlehre
by
N. I︠A︡ Vilenkin(
Book
)
15 editions published between 1969 and 1986 in German and Russian and held by 74 WorldCat member libraries worldwide
15 editions published between 1969 and 1986 in German and Russian and held by 74 WorldCat member libraries worldwide
Les distributions
by
I. M Gelʹfand(
Book
)
4 editions published in 1967 in French and held by 73 WorldCat member libraries worldwide
4 editions published in 1967 in French and held by 73 WorldCat member libraries worldwide
Generalized functions
by
I. M Gelʹfand(
Book
)
9 editions published in 1966 in English and held by 64 WorldCat member libraries worldwide
9 editions published in 1966 in English and held by 64 WorldCat member libraries worldwide
Les Distributions
by
I. M Gelʹfand(
Book
)
1 edition published in 1970 in French and held by 62 WorldCat member libraries worldwide
1 edition published in 1970 in French and held by 62 WorldCat member libraries worldwide
Generalized functions
by
I. M Gelʹfand(
Book
)
8 editions published in 1964 in English and held by 61 WorldCat member libraries worldwide
8 editions published in 1964 in English and held by 61 WorldCat member libraries worldwide
Combinatorial mathematics for recreation
by
N. I︠A︡ Vilenkin(
Book
)
6 editions published in 1972 in English and Undetermined and held by 58 WorldCat member libraries worldwide
6 editions published in 1972 in English and Undetermined and held by 58 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 53 WorldCat member libraries worldwide
9 editions published between 1992 and 2011 in English and held by 53 WorldCat member libraries worldwide
Representation of Lie groups and special functions
by
N. I︠A︡ Vilenkin(
Book
)
8 editions published between 1993 and 2011 in English and held by 41 WorldCat member libraries worldwide
8 editions published between 1993 and 2011 in English and held by 41 WorldCat member libraries worldwide
Spet︠s︡ialʹnye funkt︠s︡ii i teorii︠a︡ predstavleniĭ grupp
by
N. I︠A︡ Vilenkin(
Book
)
2 editions published between 1965 and 1991 in Russian and held by 41 WorldCat member libraries worldwide
2 editions published between 1965 and 1991 in Russian and held by 41 WorldCat member libraries worldwide
Applications of harmonic analysis
by
I. M Gelʹfand(
Book
)
5 editions published between 1964 and 1968 in English and held by 39 WorldCat member libraries worldwide
5 editions published between 1964 and 1968 in English and held by 39 WorldCat member libraries worldwide
Integral geometry and representation theory
by
I. M Gelʹfand(
Book
)
6 editions published between 1966 and 1967 in English and held by 36 WorldCat member libraries worldwide
Integral Geometry and Representation Theory
6 editions published between 1966 and 1967 in English and held by 36 WorldCat member libraries worldwide
Integral Geometry and Representation Theory
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Associated Subjects
Algebra Approximation theory Astronomy Combinatorial analysis Equations EquationsNumerical solutions Functional analysis Functions Functions, Special Geometry Harmonic analysis Hilbert space Infinite Integral transforms Lie groups Logic, Symbolic and mathematical Mathematical physics Mathematics Numerical analysis Quantum groups Representations of groups Representations of Lie groups Set theory Theory of distributions (Functional analysis) Topological groups
Alternative Names
Vilenkin, N.
Vilenkin, N. Â.
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.
Languages
English
(144)
Russian (21)
German (11)
French (11)
Polish (2)
Hungarian (1)
Portuguese (1)
Czech (1)
Russian (21)
German (11)
French (11)
Polish (2)
Hungarian (1)
Portuguese (1)
Czech (1)
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