Kolmogorov, A. N. (Andreĭ Nikolaevich) 19031987
Overview
Works:  442 works in 1,540 publications in 8 languages and 11,238 library holdings 

Genres:  History Biography Festschriften Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other, Creator, Redactor, Adapter 
Classifications:  QA273, 510 
Publication Timeline
.
Most widely held works about
A. N Kolmogorov
 Kolmogorov's heritage in mathematics by Éric Charpentier( )
 Kolmogorov in perspective( Book )
 The Kolmogorov legacy in physics by A Vulpiani( Book )
 Selected works of A.N. Kolmogorov by A. N Kolmogorov( Book )
 Selected Works of A.N. Kolmogorov : Volume I: Mathematics and Mechanics by V. M Tikhomirov( )
 Wolfgang Doeblin : a mathematician rediscovered by Agnes Handwerk( Visual )
 Selected works of A.N Kolmogorov by A. N Kolmogorov( Book )
 I︠A︡vlenie chrezvychaĭnoe : kniga o Kolmogorove( Book )
 L'équation de Kolmogoroff : vie et mort de Wolfgang Doeblin, un génie dans la tourmente nazie by Marc Petit( Book )
 Annual review of fluid mechanics( Book )
 Kolmogorov v vospominanii︠a︡kh( Book )
 Andreĭ Nikolaevich Kolmogorov, 19031987 : zhiznʹ, preispolnennai︠a︡ schastʹi︠a︡ by V. M Tikhomirov( Book )
 Kolmogorov v vospominanii︠a︡kh uchenikov( Book )
 Selected works of A.N. Kolmogorov by A. N Kolmogorov( Book )
 Selected works of a.n. kolmogorov by V. M Tikhomirov( Book )
 Kolmogorov i kibernetika( Book )
 Akademik AN SSSR A.N. Kolmogorov : zhiznʹ v nauke i nauka v zhizni genii︠a︡ iz Tunoshny by V. S Sekovanov( Book )
 Oral history interview with Cecil E. "Chuck" Leith by Cecil E Leith( )
 Kolmogorov : i︠u︡bileĭnoe izdanie v trekh knigakh( Book )
 RényiKolmogorov probability theory: part 1 by Frank Evert Alden( Book )
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Most widely held works by
A. N Kolmogorov
Foundations of the theory of probability by
A. N Kolmogorov(
Book
)
92 editions published between 1933 and 2018 in 4 languages and held by 1,358 WorldCat member libraries worldwide
92 editions published between 1933 and 2018 in 4 languages and held by 1,358 WorldCat member libraries worldwide
Elements of the theory of functions and functional analysis by
A. N Kolmogorov(
Book
)
81 editions published between 1957 and 2012 in 3 languages and held by 1,228 WorldCat member libraries worldwide
Based on the authors' courses and lectures, this twopart advancedlevel text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, and more. Each section contains exercises. Lists of symbols, definitions, and theorems. 1957 edition.
81 editions published between 1957 and 2012 in 3 languages and held by 1,228 WorldCat member libraries worldwide
Based on the authors' courses and lectures, this twopart advancedlevel text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, and more. Each section contains exercises. Lists of symbols, definitions, and theorems. 1957 edition.
Introductory real analysis by
A. N Kolmogorov(
Book
)
63 editions published between 1970 and 2012 in English and Undetermined and held by 1,126 WorldCat member libraries worldwide
Selfcontained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced calculus. It covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, and much more. 350 problems. 1970 edition
63 editions published between 1970 and 2012 in English and Undetermined and held by 1,126 WorldCat member libraries worldwide
Selfcontained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced calculus. It covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, and much more. 350 problems. 1970 edition
Limit distributions for sums of independent random variables by
B. V Gnedenko(
Book
)
48 editions published between 1954 and 1997 in English and Russian and held by 742 WorldCat member libraries worldwide
48 editions published between 1954 and 1997 in English and Russian and held by 742 WorldCat member libraries worldwide
Mathematics, its content, methods, and meaning by
Matematicheskiĭ institut im. V.A. Steklova(
Book
)
72 editions published between 1962 and 2012 in English and Spanish and held by 555 WorldCat member libraries worldwide
This major survey features the work of 18 outstanding mathematicians. Primary subjects include analytic geometry, algebra, ordinary and partial differential equations, the calculus of variations, functions of a complex variable, prime numbers, and theories of probability and functions. Other topics include linear and nonEuclidean geometry, topology, functional analysis, more. 1963 edition
72 editions published between 1962 and 2012 in English and Spanish and held by 555 WorldCat member libraries worldwide
This major survey features the work of 18 outstanding mathematicians. Primary subjects include analytic geometry, algebra, ordinary and partial differential equations, the calculus of variations, functions of a complex variable, prime numbers, and theories of probability and functions. Other topics include linear and nonEuclidean geometry, topology, functional analysis, more. 1963 edition
Mathematics of the 19th century : mathematical logic, algebra, number theory, probability theory by
A. N Kolmogorov(
Book
)
26 editions published between 1992 and 2001 in English and held by 454 WorldCat member libraries worldwide
<Volume 1>
26 editions published between 1992 and 2001 in English and held by 454 WorldCat member libraries worldwide
<Volume 1>
Measure, Lebesgue integrals and Hilbert space by
A. N Kolmogorov(
Book
)
21 editions published between 1960 and 1962 in English and Italian and held by 397 WorldCat member libraries worldwide
21 editions published between 1960 and 1962 in English and Italian and held by 397 WorldCat member libraries worldwide
Turbulence : the legacy of A.N. Kolmogorov by
U Frisch(
Book
)
7 editions published between 1995 and 2011 in English and held by 389 WorldCat member libraries worldwide
"This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The stateoftheart is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A.N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such "fully developed turbulence" is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life." "First, a qualitative introduction is given to bring out the need for a probabilistic description of what is in essence a deterministic system. Kolmogorov's 1941 theory is presented in a novel fashion with emphasis on symmetries (including scaling transformations) which are broken by the mechanisms producing the turbulence and restored by the chaotic character of the cascade to small scales. Considerable material is devoted to intermittency, the clumpiness of smallscale activity, which has led to the development of fractal and multifractal models. Such models, pioneered by B. Mandelbrot, have applications in numerous fields besides turbulence (diffusion limited aggregation, solidearth geophysics, attractors of dynamical systems, etc). The final chapter contains an introduction to analytic theories of the sort pioneered by R. Kraichnan, to the modern theory of eddy transport and renormalization and to recent developments in the statistical theory of twodimensional turbulence. The book concludes with a guide to further reading." "The intended readership for the book ranges from firstyear graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers."Jacket
7 editions published between 1995 and 2011 in English and held by 389 WorldCat member libraries worldwide
"This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The stateoftheart is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A.N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such "fully developed turbulence" is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life." "First, a qualitative introduction is given to bring out the need for a probabilistic description of what is in essence a deterministic system. Kolmogorov's 1941 theory is presented in a novel fashion with emphasis on symmetries (including scaling transformations) which are broken by the mechanisms producing the turbulence and restored by the chaotic character of the cascade to small scales. Considerable material is devoted to intermittency, the clumpiness of smallscale activity, which has led to the development of fractal and multifractal models. Such models, pioneered by B. Mandelbrot, have applications in numerous fields besides turbulence (diffusion limited aggregation, solidearth geophysics, attractors of dynamical systems, etc). The final chapter contains an introduction to analytic theories of the sort pioneered by R. Kraichnan, to the modern theory of eddy transport and renormalization and to recent developments in the statistical theory of twodimensional turbulence. The book concludes with a guide to further reading." "The intended readership for the book ranges from firstyear graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers."Jacket
Mathematics of the 19th century : geometry, analytic function theory by
A. N Kolmogorov(
Book
)
16 editions published in 1996 in English and held by 358 WorldCat member libraries worldwide
This book is the second volume of a study of the history of mathematics in the nineteenth century. The first part of the book describes the development of geometry. The many varieties of geometry are considered and three main themes are traced: the development of a theory of invariants and forms that determine certain geometric structures such as curves or surfaces; the enlargement of conceptions of space which led to nonEuclidean geometry; and the penetration of algebraic methods into geometry in connection with algebraic geometry and the geometry of transformation groups. The second part, on analytic function theory, shows how the work of mathematicians like Cauchy, Riemann and Weierstrass led to new ways of understanding functions. Drawing much of their inspiration from the study of algebraic functions and their integral, these mathematicians and others created a unified, yet comprehensive theory in which the original algebraic problems were subsumed in special areas devoted to elliptic, algebraic, Abelian and automorphic functions. The use of power series expansions made it possible to include completely general transcendental functions in the same theory and opened up the study of the very fertile subject of entire functions. This book will be a valuable source of information for the general reader, as well as historians of science. It provides the reader with a good understanding of the overall picture of these two areas in the nineteenth century and their significance today
16 editions published in 1996 in English and held by 358 WorldCat member libraries worldwide
This book is the second volume of a study of the history of mathematics in the nineteenth century. The first part of the book describes the development of geometry. The many varieties of geometry are considered and three main themes are traced: the development of a theory of invariants and forms that determine certain geometric structures such as curves or surfaces; the enlargement of conceptions of space which led to nonEuclidean geometry; and the penetration of algebraic methods into geometry in connection with algebraic geometry and the geometry of transformation groups. The second part, on analytic function theory, shows how the work of mathematicians like Cauchy, Riemann and Weierstrass led to new ways of understanding functions. Drawing much of their inspiration from the study of algebraic functions and their integral, these mathematicians and others created a unified, yet comprehensive theory in which the original algebraic problems were subsumed in special areas devoted to elliptic, algebraic, Abelian and automorphic functions. The use of power series expansions made it possible to include completely general transcendental functions in the same theory and opened up the study of the very fertile subject of entire functions. This book will be a valuable source of information for the general reader, as well as historians of science. It provides the reader with a good understanding of the overall picture of these two areas in the nineteenth century and their significance today
Mathematics of the 19th century : function theory according to Chebyshev, ordinary differential equations, calculus of variations,
theory of finite differences(
Book
)
18 editions published between 1996 and 1998 in English and held by 233 WorldCat member libraries worldwide
18 editions published between 1996 and 1998 in English and held by 233 WorldCat member libraries worldwide
Éléments de la théorie des fonctions et de l'analyse fonctionnelle by
A. N Kolmogorov(
Book
)
30 editions published between 1974 and 1994 in 4 languages and held by 176 WorldCat member libraries worldwide
30 editions published between 1974 and 1994 in 4 languages and held by 176 WorldCat member libraries worldwide
Grenzverteilungen von Summen unabhängiger Zufallsgrössen by
B. V Gnedenko(
Book
)
9 editions published between 1959 and 1960 in German and Italian and held by 143 WorldCat member libraries worldwide
The decisions of a few industrial leaders shake the roots of capitalism and reawaken man's awareness of himself as an heroic being
9 editions published between 1959 and 1960 in German and Italian and held by 143 WorldCat member libraries worldwide
The decisions of a few industrial leaders shake the roots of capitalism and reawaken man's awareness of himself as an heroic being
Kolmogorov's heritage in mathematics by
Éric Charpentier(
Book
)
3 editions published between 2007 and 2010 in English and held by 135 WorldCat member libraries worldwide
"A.N. Kolmogorov (b. Tambov 1903, d. Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdness and imagination, and which astounded his contemporaries, he changed drastically the landscape of the subject. Most mathematicians prove what they can, Kolmogorov was of those who prove what they want. For this book several world experts were asked to present one part of the mathematical heritage left to us by Kolmogorov."Publisher's website
3 editions published between 2007 and 2010 in English and held by 135 WorldCat member libraries worldwide
"A.N. Kolmogorov (b. Tambov 1903, d. Moscow 1987) was one of the most brilliant mathematicians that the world has ever known. Incredibly deep and creative, he was able to approach each subject with a completely new point of view: in a few magnificent pages, which are models of shrewdness and imagination, and which astounded his contemporaries, he changed drastically the landscape of the subject. Most mathematicians prove what they can, Kolmogorov was of those who prove what they want. For this book several world experts were asked to present one part of the mathematical heritage left to us by Kolmogorov."Publisher's website
Sammelband zur statistischen Theorie der Turbulenz by
Helmut Limberg(
Book
)
8 editions published in 1958 in German and held by 124 WorldCat member libraries worldwide
8 editions published in 1958 in German and held by 124 WorldCat member libraries worldwide
Reelle Funktionen und Funktionalanalysis by
A. N Kolmogorov(
Book
)
12 editions published between 1972 and 1975 in German and Multiple languages and held by 114 WorldCat member libraries worldwide
12 editions published between 1972 and 1975 in German and Multiple languages and held by 114 WorldCat member libraries worldwide
Ėlementy teorii funkt︠s︡iĭ i funkt︠s︡ionalʹnogo analiza. [Ucheb. posobie dli︠a︡ matem. spet︠s︡ialʹnosteĭ untov] by
A. N Kolmogorov(
Book
)
26 editions published between 1960 and 1989 in Russian and Ukrainian and held by 112 WorldCat member libraries worldwide
26 editions published between 1960 and 1989 in Russian and Ukrainian and held by 112 WorldCat member libraries worldwide
Teorii︠a︡ informat︠s︡ii i teorii︠a︡ algoritmov by
A. N Kolmogorov(
Book
)
27 editions published between 1987 and 1993 in English and Russian and held by 111 WorldCat member libraries worldwide
27 editions published between 1987 and 1993 in English and Russian and held by 111 WorldCat member libraries worldwide
Selected works of A. N. Kolmogovrov by
A. N Kolmogorov(
Book
)
15 editions published in 1992 in English and Spanish and held by 67 WorldCat member libraries worldwide
This volume is the second of three volumes devoted to the work of one of the most prominent twentiethcentury mathematicians. Throughout his mathematical work, A.N. Kolmogorov (19031987) showed great creativity and versatility and his wideranging studies in many different areas led to the solution of conceptual and fundamental problems and the posing of new, important questions. His lasting contributions embrace probability theory and statistics, the theory of dynamical systems, mathematical logic, geometry and topology, the theory of functions and functional analysis, classical mechanics, the theory of turbulence, and information theory. This second volume contains papers on probability theory and mathematical statistics, and embraces topics such as limit theorems, axiomatics and logical foundations of probability theory, Markov chains and processes, stationary processes and branching processes. The material appearing in each volume was selected by A.N. Kolmogorov himself and is accompanied by short introductory notes and commentaries which reflect upon the influence of this work on the development of modern mathematics. All papers appear in English  some for the first time  and in chronological order. This volume contains a significant legacy which will find many grateful beneficiaries amongst researchers and students of mathematics and mechanics, as well as historians of mathematics
15 editions published in 1992 in English and Spanish and held by 67 WorldCat member libraries worldwide
This volume is the second of three volumes devoted to the work of one of the most prominent twentiethcentury mathematicians. Throughout his mathematical work, A.N. Kolmogorov (19031987) showed great creativity and versatility and his wideranging studies in many different areas led to the solution of conceptual and fundamental problems and the posing of new, important questions. His lasting contributions embrace probability theory and statistics, the theory of dynamical systems, mathematical logic, geometry and topology, the theory of functions and functional analysis, classical mechanics, the theory of turbulence, and information theory. This second volume contains papers on probability theory and mathematical statistics, and embraces topics such as limit theorems, axiomatics and logical foundations of probability theory, Markov chains and processes, stationary processes and branching processes. The material appearing in each volume was selected by A.N. Kolmogorov himself and is accompanied by short introductory notes and commentaries which reflect upon the influence of this work on the development of modern mathematics. All papers appear in English  some for the first time  and in chronological order. This volume contains a significant legacy which will find many grateful beneficiaries amongst researchers and students of mathematics and mechanics, as well as historians of mathematics
Elementos de la teoría de funciones y del análisis funcional by
A. N Kolmogorov(
Book
)
20 editions published between 1972 and 1984 in Spanish and held by 57 WorldCat member libraries worldwide
20 editions published between 1972 and 1984 in Spanish and held by 57 WorldCat member libraries worldwide
Novgorodskoe zemlevladenie XV veka by
A. N Kolmogorov(
Book
)
7 editions published in 1994 in Russian and held by 53 WorldCat member libraries worldwide
7 editions published in 1994 in Russian and held by 53 WorldCat member libraries worldwide
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Related Identities
 Fomin, S. V. (Sergeĭ Vasilʹevich) Translator
 I︠U︡shkevich, A. P. (Adolʹf Pavlovich) 19061993 Other Editor
 Gnedenko, B. V. (Boris Vladimirovich) 19121995 Author
 Aleksandrov, A. D. (Aleksandr Danilovich) 19121999 Author Editor
 Lavrentʹev, M. A. (Mikhail Alekseevich) 19001980 Editor
 Charpentier, Éric Editor
 Nikolʹskiĭ, N. K. (Nikolaĭ Kapitonovich) Editor
 Lesne, Annick Editor
 Tikhomirov, V. M. (Vladimir Mikhaĭlovich) 1934 Author Editor
 Frisch, U. (Uriel) 1940 Author
Useful Links
Associated Subjects
Algorithms Analytic functions Brownian motion processes Cadastres Chaotic behavior in systems Charney, Jule G Climatic changes Cybernetics Differentiable dynamical systems Diffusion Distribution (Probability theory) Döblin, Alfred, Doeblin, Wolfgang EuropeNovgorodskai︠a︡ Feodalʹnai︠a︡ Respublika Families Fluid mechanics France Functional analysis Functions Functions of real variables Geometry Germany Hilbert space Information theory Integrals, Generalized Itō, Kiyosi, Kolmogorov, A. N.(Andreĭ Nikolaevich), Kolmogorov complexity Land tenure Lebesgue integral Logic, Symbolic and mathematical Mathematical analysis Mathematical statistics Mathematicians Mathematics Measure theory Mechanics, Analytic National socialism Obukhov, A. M.(Aleksandr Mikhaĭlovich), Oceanatmosphere interaction Probabilities Richardson, Lewis F., Russia (Federation) Soviet Union Stochastic processes Turbulence University of California, Davis Viscous flow Vortexmotion Weather control
Covers
Alternative Names
an ni ke er mo ke luo fu
Andreas Kolmogorov
Andrei Kolmogorov
Andrei Kolmogórov matemàtic rus
Andréi Kolmogórov matemático ruso
Andreï Kolmogorov mathématicien russe
Andrei Kolmogorov Venemaa matemaatik
Andrei Nikolaevich Kolmogorov
Andrei Nikolaevich Kolmogorov matemático ruso
Andrei Nikolaevici Kolmogorov
Andrei Nikolaevici Kolmogorov matematician rus
Andrei Nikolajewitsch Kolmogorow russischer Mathematiker
Andrej Kolmogorov
Andrej Kolmogorov rusa matematikisto
Andrej Kolmogorov Russisch wiskundige (19031987)
Andrej Kolmogorov russisk informatikar og matematikar
Andrej Kolmogorov russisk informatiker og matematiker
Andrej Kolmogorov rysk datavetare och matematiker
Andrej Nikolaevič Kolmogorov
Andrej Nikolaevič Kolmogorov matematico russo
Andrej Nikolajevič Kolmogorov
Andrej Nyikolajevics Kolmogorov szovjet matematikus
Andrejs Kolmogorovs
Andrey Kolmogorov Russian mathematician
Andrey Kolmogorov Soviet mathematician
Andrey Kolmoqorov
Andrey Nikolaevich Kolmogorov
Andrey Nikolayevich Kolmogorov
Andriej Kołmogorow matematyk rosyjski
ke er mo ge luo fu
ke er mo guo luo fu
Kolmogoroff, A.
Kolmogoroff, A. 1903
Kolmogoroff A. 19031987
Kolmogoroff, A.N
Kolmogoroff, A.N. 19031987
Kolmogoroff, Andrei N. 19031987
Kolmogoroff, Andrej N. 19031987
Kolmogorov, A.
Kolmogorov, A. N.
Kolmogorov, A.N. 19031987
Kolmogorov, A. N. (Andrej Nikolaevič), 19031987
Kolmogorov, Andrei N.
Kolmogorov, Andrei Nikolaevič
Kolmogorov, Andreĭ Nikolaevich
Kolmogorov, Andreĭ Nikolaevich 1903
Kolmogorov, Andreĭ Nikolaevich 19031987
Kolmogorov Andreï Nikolaevitch 19031987
Kolmogorov, Andrej N.
Kolmogorov, Andrej Nikolaevič
Kolmogorov, Andrej Nikolaevič 19031987
Kolmogorov, Andrej Nikolajew 19031987
Kolmogorov, Andrey Nikolaevich 19031987
Kolmogorov Andreý Nïkolayevïç
Kolmogorov Andrey Nikolayevich
Kolmogorov, Andriej N.
Kolmogorovs, A. 19031987
Kołmogorow, A. N.
Kolmogorow, Andrei N. 19031987
Kołmogorow, Andrzej.
Αντρέι Κολμογκόροφ Σοβιετικός μαθηματικός
Андрей Колмогоров
Андреј Колмогоров
Андрэй Калмагораў
Андрэй Мікалаевіч Калмагораў
Колмогоров
Колмогоров, А. Н..
Колмогоров, А.Н 19031987
Колмогоров, А. Н. (Андрей Николаевич)
Колмогоров, А. Н. (Андрей Николаевич), 19031987
Колмогоров, Андрей Николаевич
Колмогоров, Андрей Николаевич 19031987
Колмогоров Андрій Миколайович
Անդրեյ Կոլմոգորով
אנדריי קולמוגורוב
אנדריי קולמוגורוב מתמטיקאי רוסי
آندره کولموگروف ریاضیدان و دانشمند علوم کامپیوتر روسی
أندريه كولموغوروف
أندريه كولموغوروف رياضياتي روسي
آندری کولموقوروف
كولموگوروۆ اندرەي نىيكولايەۆىيتش
อันเดรย์ คอลโมโกรอฟ
ანდრეი კოლმოგოროვი
안드레이 콜모고로프
アンドレイ・コルモゴロフ
コルモゴロフ
コルモゴロフ, アンドレイ ニコラエヴイチ
安・尼・柯尓莫柯洛夫
安德雷·柯爾莫哥洛夫
柯尓莫戈洛夫
柯尓莫果洛夫
柯尓莫柯洛夫
科尓莫戈罗夫
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