Vilenkin, N. I︠A︡ (Naum I︠A︡kovlevich)
Overview
Works:  121 works in 673 publications in 11 languages and 5,796 library holdings 

Genres:  Popular works Textbooks Juvenile works 
Roles:  Author, Translator, Creator, Editor, Other, Contributor 
Classifications:  QA320, 517.5 
Publication Timeline
.
Most widely held works by
N. I︠A︡ Vilenkin
Combinatorics by
N. I︠A︡ Vilenkin(
Book
)
38 editions published between 1969 and 1987 in 7 languages and held by 834 WorldCat member libraries worldwide
Populární formou vysvětluje autor obecná pravidla kombinatoriky, variace, permutace a kombinace, kombinatorické úlohy s omezujícími podmínkami, dále kombinatoriku rozkladů, rekurentní vzorce aj. Výklad ilustruje zajímavýmipříklady z různých oborů a uvádí několik set kombinatorických úloh
38 editions published between 1969 and 1987 in 7 languages and held by 834 WorldCat member libraries worldwide
Populární formou vysvětluje autor obecná pravidla kombinatoriky, variace, permutace a kombinace, kombinatorické úlohy s omezujícími podmínkami, dále kombinatoriku rozkladů, rekurentní vzorce aj. Výklad ilustruje zajímavýmipříklady z různých oborů a uvádí několik set kombinatorických úloh
In search of infinity by
N. I︠A︡ Vilenkin(
Book
)
27 editions published between 1983 and 2013 in 3 languages and held by 830 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
27 editions published between 1983 and 2013 in 3 languages and held by 830 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
Special functions and the theory of group representations by
N. I︠A︡ Vilenkin(
Book
)
23 editions published between 1968 and 1998 in English and Undetermined and held by 481 WorldCat member libraries worldwide
23 editions published between 1968 and 1998 in English and Undetermined and held by 481 WorldCat member libraries worldwide
Successive approximation by
N. I︠A︡ Vilenkin(
Book
)
39 editions published between 1961 and 1980 in 6 languages and held by 428 WorldCat member libraries worldwide
39 editions published between 1961 and 1980 in 6 languages and held by 428 WorldCat member libraries worldwide
Functional analysis by
Frigyes Riesz(
Book
)
17 editions published between 1967 and 1977 in English and Undetermined and held by 327 WorldCat member libraries worldwide
Classic exposition of modern theories of differentiation and integration and the principal problems and methods of handling integral equations and linear functionals and transformations. Topics include Lebesque and Stieltjes integrals, Hilbert and Banach spaces, selfadjunct transformations, spectral theories for linear transformations of general type, and more
17 editions published between 1967 and 1977 in English and Undetermined and held by 327 WorldCat member libraries worldwide
Classic exposition of modern theories of differentiation and integration and the principal problems and methods of handling integral equations and linear functionals and transformations. Topics include Lebesque and Stieltjes integrals, Hilbert and Banach spaces, selfadjunct transformations, spectral theories for linear transformations of general type, and more
Fonctions spéciales et théories de la représentation des groupes by
N. I︠A︡ Vilenkin(
Book
)
20 editions published between 1965 and 2013 in 5 languages and held by 205 WorldCat member libraries worldwide
20 editions published between 1965 and 2013 in 5 languages and held by 205 WorldCat member libraries worldwide
Les distributions by
I. M Gelʹfand(
Book
)
31 editions published between 1962 and 1970 in French and English and held by 183 WorldCat member libraries worldwide
31 editions published between 1962 and 1970 in French and English and held by 183 WorldCat member libraries worldwide
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
5 editions published between 1991 and 1993 in English and held by 152 WorldCat member libraries worldwide
5 editions published between 1991 and 1993 in English and held by 152 WorldCat member libraries worldwide
Representation of Lie groups and special functions : recent advances by
N. I︠A︡ Vilenkin(
Book
)
15 editions published between 1995 and 2011 in English and held by 134 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
15 editions published between 1995 and 2011 in English and held by 134 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
Generalized functions by
I. M Gelʹfand(
Book
)
30 editions published between 1964 and 1968 in English and Undetermined and held by 133 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
30 editions published between 1964 and 1968 in English and Undetermined and held by 133 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
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
36 editions published between 1991 and 1993 in English and held by 109 WorldCat member libraries worldwide
This is the first of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. <br/> This volume deals with the properties of classical orthogonal polynomials and special functions which are related to representations of groups of matrices of second order and of groups of triangular matrices of third order. This material forms the basis of many results concerning classical special functions such as Bessel, MacDonald, Hankel, Whittaker, hypergeometric, and confluent hypergeometric functions, and different classes of orthogonal polynomials, including those having a discrete variable. Many new results are given. <br/> The volume is selfcontained, since an introductory section presents basic required material from algebra, topology, functional analysis and group theory. <br/> For research mathematicians, physicists and engineers
36 editions published between 1991 and 1993 in English and held by 109 WorldCat member libraries worldwide
This is the first of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. <br/> This volume deals with the properties of classical orthogonal polynomials and special functions which are related to representations of groups of matrices of second order and of groups of triangular matrices of third order. This material forms the basis of many results concerning classical special functions such as Bessel, MacDonald, Hankel, Whittaker, hypergeometric, and confluent hypergeometric functions, and different classes of orthogonal polynomials, including those having a discrete variable. Many new results are given. <br/> The volume is selfcontained, since an introductory section presents basic required material from algebra, topology, functional analysis and group theory. <br/> For research mathematicians, physicists and engineers
Unterhaltsame Mengenlehre by
N. I︠A︡ Vilenkin(
Book
)
13 editions published between 1972 and 1986 in German and held by 85 WorldCat member libraries worldwide
13 editions published between 1972 and 1986 in German and held by 85 WorldCat member libraries worldwide
Generalized functions by
I. M Gelʹfand(
Book
)
14 editions published in 1966 in English and Undetermined and held by 74 WorldCat member libraries worldwide
14 editions published in 1966 in English and Undetermined and held by 74 WorldCat member libraries worldwide
Representation of Lie groups and special functions by
N. I︠A︡ Vilenkin(
Book
)
21 editions published between 1992 and 2011 in English and held by 73 WorldCat member libraries worldwide
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with qanalogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semisimple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fandTsetlin basis, and, finally, modular forms, thetafunctions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%
21 editions published between 1992 and 2011 in English and held by 73 WorldCat member libraries worldwide
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with qanalogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semisimple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fandTsetlin basis, and, finally, modular forms, thetafunctions and affine Lie algebras. The volume builds upon results of the previous two volumes, and presents many new results. Subscribers to the complete set of three volumes will be entitled to a discount of 15%
Simmetrii︠a︡ v algebre by
V. G Bolti︠a︡nskiĭ(
Book
)
10 editions published between 1967 and 2002 in Russian and Undetermined and held by 43 WorldCat member libraries worldwide
10 editions published between 1967 and 2002 in Russian and Undetermined and held by 43 WorldCat member libraries worldwide
Integral geometry and representation theory by
I. M Gelʹfand(
Book
)
15 editions published between 1962 and 2014 in English and Russian and held by 38 WorldCat member libraries worldwide
Integral Geometry and Representation Theory
15 editions published between 1962 and 2014 in English and Russian and held by 38 WorldCat member libraries worldwide
Integral Geometry and Representation Theory
Matematika : uchebnik dli︠a︡ VI klassa sredneĭ shkoly by
N. I︠A︡ Vilenkin(
Book
)
30 editions published between 1968 and 2005 in Russian and held by 37 WorldCat member libraries worldwide
30 editions published between 1968 and 2005 in Russian and held by 37 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
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
 Chilov, Gueorgi Evguenievitch
 Feinstein, Amiel Translator
 Rideau, Guy Translator
 Gussi, G.
Useful Links
Associated Subjects
Algebra Approximation theory Arithmetic ArithmeticStudy and teaching ArithmeticStudy and teaching (Primary) Astronomy Combinatorial analysis Differential equations Equations EquationsNumerical solutions Fractions Functional analysis Functional equationsNumerical solutions Functions Functions, Special Generalized spaces Geometry Geometry, Algebraic Group theory Harmonic analysis Hilbert space Infinite Integral geometry Integral transforms Lie groups Logic, Symbolic and mathematical Mathematical physics Mathematics MathematicsStudy and teaching MathematicsStudy and teaching (Elementary) Numbers, Natural Numbers, Negative Numbers, Rational Numerical analysis Polynomials Quantum groups Representations of groups Representations of Lie groups Russia Russia (Federation) Set theory Soviet Union Theory of distributions (Functional analysis) Topological groups Transformations (Mathematics)
Alternative Names
Naum Jakowlewitsch Wilenkin russischer Mathematiker
Naum Vilenkin mathématicien russe
Naum Vilenkin Russian mathematician
Naum Ya. Vilenkin Russisch wiskundige (19201991)
Vilenkin, N.
Vilenkin, N. Â.
Vilenkin, N. IA
Vilenkin, N. J.
Vilenkin, N. J. 19201991
Vilenkin, N. Ja.
Vilenkin, N. Ja. 19201991
Vilenkin, N. Y.
Vilenkin N. Ya.
Vilenkin, N. Ya. 19201991
Vilenkin Naum Iakovlevich
Vilenkin, Naum I︠A︢kovlevich 19201991
Vilenkin, Naum Jakovlevič.
Vilenkin, Naum Jakovlevič 19201991
Vilenkin, Naum Jakovlevič. [t]
Vilenkin Naum Jakovlevich
Vilenkin, Naum Jakovlevich 19201991
Vilenkin, Naum Yakovlevich.
Vilenkine, N.
Vilenkine Naoum Iakovlevitch 1920....
Viļenkins, N. 19201991
Wilenkin N. J.
Wilenkin, N. J. 19201991
Wilenkin, Naum J. 19201991
Wilenkin, Naum Jakovlevič 19201991
Wilenkin, Naum Yakowlewič 1991
Виленкин, Н. Я
Виленкин, Н. Я (Наум Яковлевич)
Виленкин, Наум Яковлевич.
Вілєнкін Наум Якович
Languages
English
(244)
Russian (66)
French (38)
German (13)
Hungarian (3)
Italian (2)
Polish (2)
Czech (2)
Croatian (1)
Portuguese (1)
Multiple languages (1)
Russian (66)
French (38)
German (13)
Hungarian (3)
Italian (2)
Polish (2)
Czech (2)
Croatian (1)
Portuguese (1)
Multiple languages (1)
Covers