WorldCat Identities

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

Works: 582 works in 1,595 publications in 8 languages and 11,485 library holdings
Genres: History  Biography  Festschriften  Conference papers and proceedings 
Roles: Author, Editor, Honoree, Other, Redactor, Creator, Adapter
Classifications: QA273, 510
Publication Timeline
Most widely held works by A. N Kolmogorov
Introductory real analysis by A. N Kolmogorov( Book )

63 editions published between 1970 and 2012 in English and Undetermined and held by 1,136 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
Elements of the theory of functions and functional analysis by A. N Kolmogorov( Book )

49 editions published between 1957 and 2012 in 3 languages and held by 1,131 WorldCat member libraries worldwide

Foundations of the theory of probability by A. N Kolmogorov( Book )

50 editions published between 1950 and 2018 in 3 languages and held by 1,102 WorldCat member libraries worldwide

This famous little book was first published in German in 1933 and in Russian a few years later, setting forth the axiomatic foundations of modern probability theory and cementing the author's reputation as a leading authority in the field. The distinguished Russian mathematician A. N. Kolmogorov wrote this foundational text, and it remains important both to students beginning a serious study of the topic and to historians of modern mathematics. Suitable as a text for advanced undergraduates and graduate students in mathematics, the treatment begins with an introduction to the elementary theory of probability and infinite probability fields. Subsequent chapters explore random variables, mathematical expectations, and conditional probabilities and mathematical expectations. The book concludes with a chapter on the law of large numbers, an Appendix on zero-or-one in the theory of probability, and detailed bibliographies
Limit distributions for sums of independent random variables by B. V Gnedenko( Book )

46 editions published between 1954 and 1997 in 3 languages and held by 751 WorldCat member libraries worldwide

Mathematics, its content, methods, and meaning by Matematicheskiĭ institut im. V.A. Steklova( Book )

58 editions published between 1962 and 2012 in English and Undetermined and held by 516 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
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 435 WorldCat member libraries worldwide

This multi-authored effort, Mathematics of the nineteenth century (to be fol lowed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e., we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as weIl. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend, first, to unravel the forces that shape mathe matical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and philosophy. Throughan anal ysis of mathematical history proper, we hope to delineate the relationships among the various mathematical disciplines and to evaluate mathematical achievements in the light of the current state and future prospects of the science. The difficulties confronting us considerably exceeded those encountered in preparing the three-volume edition
Measure, Lebesgue integrals and Hilbert space by A. N Kolmogorov( Book )

19 editions published between 1960 and 1962 in English and Italian and held by 401 WorldCat member libraries worldwide

Turbulence : the legacy of A.N. Kolmogorov by U Frisch( Book )

8 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."--Jacket
Mathematics of the 19th century : geometry, analytic function theory by A. N Kolmogorov( Book )

14 editions published in 1996 in English and held by 351 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 non-Euclidean 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 integrals, 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
Mathematics of the 19th century : function theory according to Chebyshev, ordinary differential equations, calculus of variations, theory of finite differences( Book )

19 editions published between 1996 and 1998 in English and held by 235 WorldCat member libraries worldwide

Grundbegriffe der Wahrscheinlichkeitsrechnung by A. N Kolmogorov( Book )

24 editions published between 1933 and 1977 in German and held by 177 WorldCat member libraries worldwide

Éléments de la théorie des fonctions et de l'analyse fonctionnelle by A. N Kolmogorov( Book )

29 editions published between 1974 and 1994 in 4 languages and held by 176 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 137 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. Each chapter treats one of Kolmogorov's research themes, or a subject that was invented as a consequence of his discoveries. His contributions are presented, his methods, the perspectives he opened to us, the way in which this research has evolved up to now, along with examples of recent applications and a presentation of the current prospects. This book can be read by anyone with a master's (even a bachelor's) degree in mathematics, computer science or physics, or more generally by anyone who likes mathematical ideas. Rather than present detailed proofs, the main ideas are described. A bibliography is provided for those who wish to understand the technical details. One can see that sometimes very simple reasoning (with the right interpretation and tools) can lead in a few lines to very substantial results. The Kolmogorov Legacy in Physics was published by Springer in 2004 (ISBN 978-3-540-20307-0)."--Font no determinada
Grenzverteilungen von Summen unabhängiger Zufallsgrössen by B. V Gnedenko( Book )

7 editions published between 1959 and 1960 in German and Italian and held by 130 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
Sammelband zur statistischen Theorie der Turbulenz by Helmut Limberg( Book )

7 editions published in 1958 in German and held by 126 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 121 WorldCat member libraries worldwide

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

25 editions published between 1960 and 1989 in Russian and Ukrainian and held by 112 WorldCat member libraries worldwide

Selected works of A.N. Kolmogovrov by A. N Kolmogorov( Book )

17 editions published in 1993 in English and held by 72 WorldCat member libraries worldwide

Grundbegriffe der Wahrscheinlichkeitsrechnung by A. N Kolmogorov( Book )

8 editions published between 1933 and 1984 in German and Undetermined and held by 70 WorldCat member libraries worldwide

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 58 WorldCat member libraries worldwide

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Introductory real analysis
Elements of the theory of functions and functional analysisFoundations of the theory of probabilityMathematics, its content, methods, and meaningMathematics of the 19th century : mathematical logic, algebra, number theory, probability theoryTurbulence : the legacy of A.N. KolmogorovMathematics 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 mathematicsSelected works of A.N. Kolmogovrov
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 (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.

Kolmogoroff, Andrei N. 1903-1987

Kolmogoroff Andrej N.

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 Nikolaevic

Kolmogorov, Andrej Nikolaevič 1903-1987

Kolmogorov, Andrej Nikolajew 1903-1987

Kolmogorov, Andrey Nikolaevich 1903-1987

Kolmogorov Andreý Nïkolayevïç

Kolmogorov Andrey Nikolayevich

Kolmogorov, Andriej N.

Kolmogorovas A.

Kolmogorovas Andrejus

Kolmogorovas Andrejus Nikolajevičius

Kolmogorovs, A. 1903-1987

Kołmogorow, A. N.

Kolmogorow, Andrei N. 1903-1987

Kołmogorow Andriej

Kołmogorow, Andrzej.

Αντρέι Κολμογκόροφ Σοβιετικός μαθηματικός

Андрей Колмогоров

Андреј Колмогоров

Андрэй Калмагораў

Андрэй Мікалаевіч Калмагораў


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

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אנדריי קולמוגורוב

אנדריי קולמוגורוב מתמטיקאי רוסי

آندره کولموگروف ریاضی‌دان و دانشمند علوم کامپیوتر روسی

أندريه كولموغوروف

أندريه كولموغوروف رياضياتي روسي

آندری کولموقوروف

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