WorldCat Identities

Kolmogorov, A. N. (Andreĭ Nikolaevich) 1903-1987

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
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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
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

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 self-contained, 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 self-study or for the classroom -- it is basic one-year 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

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

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>
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 state-of-the-art 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 small-scale 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, solid-earth 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 two-dimensional turbulence. The book concludes with a guide to further reading." "The intended readership for the book ranges from first-year 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 non-Euclidean 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>
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

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

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

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
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

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

Ėlementy teorii funkt︠s︡iĭ i funkt︠s︡ionalʹnogo analiza. [Ucheb. posobie dli︠a︡ matem. spet︠s︡ialʹnosteĭ un-tov] by A. N Kolmogorov( Book )

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

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 non-Euclidean 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

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 twentieth-century mathematicians. Throughout his mathematical work, A.N. Kolmogorov (1903-1987) showed great creativity and versatility and his wide-ranging 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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Introductory real analysis
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 (1903-1987)

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. 1903-1987

Kolmogoroff, A.N

Kolmogoroff, A.N. 1903-1987

Kolmogoroff, Andrei N. 1903-1987

Kolmogoroff, Andrej N. 1903-1987

Kolmogorov, A.

Kolmogorov, A. N.

Kolmogorov, A.N. 1903-1987

Kolmogorov, A. N. (Andrej Nikolaevič), 1903-1987

Kolmogorov, Andrei N.

Kolmogorov, Andrei Nikolaevič

Kolmogorov, Andreĭ Nikolaevich

Kolmogorov, Andreĭ Nikolaevich 1903-

Kolmogorov, Andreĭ Nikolaevich 1903-1987

Kolmogorov Andreï Nikolaevitch 1903-1987

Kolmogorov, Andrej N.

Kolmogorov, Andrej Nikolaevič

Kolmogorov, Andrej Nikolaevič 1903-1987

Kolmogorov, Andrej Nikolajew 1903-1987

Kolmogorov, Andrey Nikolaevich 1903-1987

Kolmogorov Andreý Nïkolayevïç

Kolmogorov Andrey Nikolayevich

Kolmogorov, Andriej N.

Kolmogorovs, A. 1903-1987

Kołmogorow, A. N.

Kolmogorow, Andrei N. 1903-1987

Kołmogorow, Andrzej.

Αντρέι Κολμογκόροφ Σοβιετικός μαθηματικός

Андрей Колмогоров

Андреј Колмогоров

Андрэй Калмагораў

Андрэй Мікалаевіч Калмагораў

Колмогоров

Колмогоров, А. Н..

Колмогоров, А.Н 1903-1987

Колмогоров, А. Н. (Андрей Николаевич)

Колмогоров, А. Н. (Андрей Николаевич), 1903-1987

Колмогоров, Андрей Николаевич

Колмогоров, Андрей Николаевич 1903-1987

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
Covers
Foundations of the theory of probabilityIntroductory real analysisMathematics of the 19th century : mathematical logic, algebra, number theory, probability theoryTurbulence : the legacy of A.N. KolmogorovMathematics, its content, methods, and meaningMathematics of the 19th century : geometry, analytic function theoryMathematics of the 19th century : function theory according to Chebyshev, ordinary differential equations, calculus of variations, theory of finite differencesKolmogorov's heritage in mathematics