Kolmogorov, A. N. (Andreĭ Nikolaevich) 19031987
Overview
Works:  411 works in 1,471 publications in 9 languages and 11,175 library holdings 

Genres:  History Biography 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 in perspective( Book )
 The Kolmogorov legacy in physics by A Vulpiani( Book )
 Selected works of A.N. Kolmogorov by A. N Kolmogorov( Book )
 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 )
 Kolmogorov's heritage in mathematics by Éric Charpentier( 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 )
 Kolmogorov i kibernetika by D. A Pospelov( Book )
 Selected works of a.n. kolmogorov by V. M Tikhomirov( Book )
 Oral history interview with Cecil E. "Chuck" Leith by Cecil E Leith( )
 Kolmogorov : i︠u︡bileĭnoe izdanie v trekh knigakh( Book )
 Akademik AN SSSR A.N. Kolmogorov : zhiznʹ v nauke i nauka v zhizni genii︠a︡ iz Tunoshny by V. S Sekovanov( Book )
 Sur l'équation de Kolmogoroff by Wolfgang Doeblin( Book )
 Selected Works of A.N. Kolmogorov : Volume I: Mathematics and Mechanics by V. M Tikhomirov( )
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Most widely held works by
A. N Kolmogorov
Elements of the theory of functions and functional analysis by
A. N Kolmogorov(
Book
)
140 editions published between 1957 and 2009 in 6 languages and held by 1,332 WorldCat member libraries worldwide
Úvodní část obsahuje výklad teorie množin, metrických a topologických prostorů, normovaných a topologických lineárních prostorů, lineárních funkcionálů a lineárních operátorů. Další kapitoly se zabývají teorií míry, měřitelnými funkcemi, prostory integrovatelných funkcí, Fourierovou transformací, lineárními integrálními rovnicemi a základy diferenciálního počtu v lineárních prostorech. V dodatku je uveden výklad Banachových algeber a jejich aplikací
140 editions published between 1957 and 2009 in 6 languages and held by 1,332 WorldCat member libraries worldwide
Úvodní část obsahuje výklad teorie množin, metrických a topologických prostorů, normovaných a topologických lineárních prostorů, lineárních funkcionálů a lineárních operátorů. Další kapitoly se zabývají teorií míry, měřitelnými funkcemi, prostory integrovatelných funkcí, Fourierovou transformací, lineárními integrálními rovnicemi a základy diferenciálního počtu v lineárních prostorech. V dodatku je uveden výklad Banachových algeber a jejich aplikací
Foundations of the theory of probability by
A. N Kolmogorov(
Book
)
88 editions published between 1933 and 2013 in 4 languages and held by 1,324 WorldCat member libraries worldwide
88 editions published between 1933 and 2013 in 4 languages and held by 1,324 WorldCat member libraries worldwide
Introductory real analysis by
A. N Kolmogorov(
Book
)
62 editions published between 1970 and 2012 in English and Undetermined and held by 1,053 WorldCat member libraries worldwide
This volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is selfcontained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus. The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral. Each individual section  there are 37 in all  is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched. With these problems and the clear exposition, this book is useful for selfstudy or for the classroom  it is basic oneyear course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable
62 editions published between 1970 and 2012 in English and Undetermined and held by 1,053 WorldCat member libraries worldwide
This volume in Richard Silverman's exceptional series of translations of Russian works in the mathematical science is a comprehensive, elementary introduction to real and functional analysis by two faculty members from Moscow University. It is selfcontained, evenly paced, eminently readable, and readily accessible to those with adequate preparation in advanced calculus. The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continuous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continuous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the Lebesque integral, Fubini's theorem, and the Stieltjes integral. Each individual section  there are 37 in all  is equipped with a problem set, making a total of some 350 problems, all carefully selected and matched. With these problems and the clear exposition, this book is useful for selfstudy or for the classroom  it is basic oneyear course in real analysis. Dr. Silverman is a former member of the Institute of Mathematical Sciences of New York University and the Lincoln Library of M.I.T. Along with his translation, he has revised the text with numerous pedagogical and mathematical improvements and restyled the language so that it is even more readable
Limit distributions for sums of independent random variables by
B. V Gnedenko(
Book
)
46 editions published between 1954 and 1997 in English and Russian and held by 751 WorldCat member libraries worldwide
46 editions published between 1954 and 1997 in English and Russian and held by 751 WorldCat member libraries worldwide
Measure, Lebesgue integrals and Hilbert space by
A. N Kolmogorov(
Book
)
23 editions published between 1960 and 1965 in 3 languages and held by 402 WorldCat member libraries worldwide
23 editions published between 1960 and 1965 in 3 languages and held by 402 WorldCat member libraries worldwide
Mathematics of the 19th century : mathematical logic, algebra, number theory, probability theory by
A. N Kolmogorov(
Book
)
23 editions published between 1992 and 2001 in English and held by 402 WorldCat member libraries worldwide
<Volume 1>
23 editions published between 1992 and 2001 in English and held by 402 WorldCat member libraries worldwide
<Volume 1>
Turbulence : the legacy of A.N. Kolmogorov by
U Frisch(
Book
)
7 editions published between 1995 and 2011 in English and held by 391 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."BOOK JACKET
7 editions published between 1995 and 2011 in English and held by 391 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."BOOK JACKET
Mathematics, its content, methods, and meaning by
Matematicheskiĭ institut im. V.A. Steklova(
Book
)
54 editions published between 1962 and 2012 in English and held by 379 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
54 editions published between 1962 and 2012 in English and held by 379 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
Mathematics of the 19th century : geometry, analytic function theory by
A. N Kolmogorov(
Book
)
23 editions published between 1996 and 2001 in English and held by 314 WorldCat member libraries worldwide
<Volume 2>
23 editions published between 1996 and 2001 in English and held by 314 WorldCat member libraries worldwide
<Volume 2>
Mathematics of the 19th century : function theory according to Chebyshev, ordinary differential equations, calculus of variations,
theory of finite differences(
Book
)
16 editions published between 1992 and 1998 in English and held by 226 WorldCat member libraries worldwide
16 editions published between 1992 and 1998 in English and held by 226 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 170 WorldCat member libraries worldwide
30 editions published between 1974 and 1994 in 4 languages and held by 170 WorldCat member libraries worldwide
Grenzverteilungen von Summen unabhängiger Zufallsgrössen by
B. V Gnedenko(
Book
)
10 editions published between 1959 and 1960 in German and Italian and held by 140 WorldCat member libraries worldwide
10 editions published between 1959 and 1960 in German and Italian and held by 140 WorldCat member libraries worldwide
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 K
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 K
Sammelband zur statistischen Theorie der Turbulenz by
Helmut Limberg(
Book
)
8 editions published in 1958 in German and held by 118 WorldCat member libraries worldwide
8 editions published in 1958 in German and held by 118 WorldCat member libraries worldwide
Reelle Funktionen und Funktionalanalysis by
A. N Kolmogorov(
Book
)
11 editions published between 1972 and 1975 in German and Multiple languages and held by 111 WorldCat member libraries worldwide
11 editions published between 1972 and 1975 in German and Multiple languages and held by 111 WorldCat member libraries worldwide
Ėlementy teorii funkt︠s︡iĭ i funkt︠s︡ionalʹnogo analiza. [Ucheb. posobie dli︠a︡ matem. spet︠s︡ialʹnosteĭ untov] by
A. N Kolmogorov(
Book
)
23 editions published between 1960 and 1989 in Russian and held by 96 WorldCat member libraries worldwide
23 editions published between 1960 and 1989 in Russian and held by 96 WorldCat member libraries worldwide
Selected works of A.N. Kolmogovrov by
A. N Kolmogorov(
Book
)
25 editions published in 1993 in English and Undetermined and held by 88 WorldCat member libraries worldwide
25 editions published in 1993 in English and Undetermined and held by 88 WorldCat member libraries worldwide
Mathematics, its content, methods, and meaning(
Book
)
2 editions published in 1999 in English and held by 71 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
2 editions published in 1999 in English and held by 71 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
Arbeiten zur Informationstheorie by
R. L Dobrushin(
Book
)
18 editions published between 1957 and 1967 in 4 languages and held by 70 WorldCat member libraries worldwide
18 editions published between 1957 and 1967 in 4 languages and held by 70 WorldCat member libraries worldwide
Selected works of A. N. Kolmogovrov by
A. N Kolmogorov(
Book
)
17 editions published between 1992 and 1993 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
17 editions published between 1992 and 1993 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
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Related Identities
 Fomin, S. V. (Sergeĭ Vasilʹevich) Translator
 I︠U︡shkevich, A. P. (Adolʹf Pavlovich) 19061993 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
 Lesne, Annick Editor
 Nikolʹskiĭ, N. K. (Nikolaĭ Kapitonovich) Editor
 Tikhomirov, V. M. (Vladimir Mikhaĭlovich) 1934 Author Editor
 Frisch, U. (Uriel) 1940 Author
Useful Links
Associated Subjects
Algorithms Analytic functions Benedict, Francis Gano, Brownian motion processes Chaotic behavior in systems Charney, Jule G Climatic changes Cybernetics Differentiable dynamical systems Diffusion Distribution (Probability theory) Döblin, Alfred, Doeblin, Wolfgang 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 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 Random variables Richardson, Lewis F., Russia (Federation) Soviet Union Stochastic processes Turbulence University of California, Davis Viscous flow Von Neumann, John, Vortexmotion Weather control
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 Nikolaevich Kolmogorov
Andrei Nikolaevich Kolmogorov matemático ruso
Andrei Nikolaevici Kolmogorov
Andrei Nikolajewitsch Kolmogorow russischer Mathematiker
Andrej Kolmogorov
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
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
Languages
English
(502)
German (76)
Russian (59)
French (30)
Italian (5)
Spanish (2)
Czech (2)
Arabic (1)
Multiple languages (1)
German (76)
Russian (59)
French (30)
Italian (5)
Spanish (2)
Czech (2)
Arabic (1)
Multiple languages (1)
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