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Kolmogorovs Heritage In Mathematics
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Book Synopsis Kolmogorov's Heritage in Mathematics by : Eric Charpentier
Download or read book Kolmogorov's Heritage in Mathematics written by Eric Charpentier and published by Springer Science & Business Media. This book was released on 2007-09-13 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, several world experts present (one part of) the mathematical heritage of Kolmogorov. Each chapter treats one of his research themes or a subject invented as a consequence of his discoveries. The authors present his contributions, his methods, the perspectives he opened to us, and the way in which this research has evolved up to now. Coverage also includes examples of recent applications and a presentation of the modern prospects.
Download or read book Kolmogorov in Perspective written by and published by American Mathematical Soc.. This book was released on 2000 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The editorial board for the History of Mathematics series has selected for this volume a series of translations from two Russian publications, Kolmogorov in Remembrance and Mathematics and its Historical Development. This book, Kolmogorov in Perspective, includes articles written by Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. The articles combine to give an excellent personal and scientific biography of this important mathematician. There is also an extensive bibliography with the complete list of Kolmogorov's work.
Book Synopsis Kolmogorov in Perspective by : London Mathematical Society
Download or read book Kolmogorov in Perspective written by London Mathematical Society and published by . This book was released on 2000 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The editorial board for the History of Mathematics series has selected for this volume a series of translations from two Russian publications, Kolmogorov in Remembrance and Mathematics and its Historical Development. This book, Kolmogorov in Perspective, includes articles written by Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. The articles combine to give an excellent personal and scientific biography of this important mathematician. There is also an extensive bibliography with the complete list of Kolmogorov's work.
Author :Vladimir M. Tikhomirov Publisher :Springer Science & Business Media ISBN 13 :9789027727961 Total Pages :582 pages Book Rating :4.7/5 (279 download)
Book Synopsis Selected Works of A. N. Kolmogorov by : Vladimir M. Tikhomirov
Download or read book Selected Works of A. N. Kolmogorov written by Vladimir M. Tikhomirov and published by Springer Science & Business Media. This book was released on 1991-06-30 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Praesidium of the USSR Academy of Sciences has decided to publish three volumes of Selected Works of A.N. Kolmogorov, one of the most prominent mathematicians of the 20th century. The creative work of A.N. Kolmogorov is exceptionally versatile. In his studies on trigonometric and orthogonal series, theory of measure and inte gral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, many conceptual and fundamental problems were solved and new questions were posed which gave rise to a great number of investigations. A.N. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of basic results, with many applications to mechanics, geophysics, linguistics, biology and other branches of knowledge. This edition includes the most important papers by A.N. Kolmogorov on mathematics and natural science. It does not include philosophical and ped agogical studies of A.N. Kolmogorov, his articles written for the "Bol'shaya Sov'etskaya Entsiklopediya", papers on prosody and various applications of mathematics and publications on general questions. The material of this edition was selected and grouped by A.N. Kolmogorov.
Book Synopsis Selected Works of A. N. Kolmogorov by : Vladimir M. Tikhomirov
Download or read book Selected Works of A. N. Kolmogorov written by Vladimir M. Tikhomirov and published by Springer. This book was released on 1991-06-30 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Praesidium of the USSR Academy of Sciences has decided to publish three volumes of Selected Works of A.N. Kolmogorov, one of the most prominent mathematicians of the 20th century. The creative work of A.N. Kolmogorov is exceptionally versatile. In his studies on trigonometric and orthogonal series, theory of measure and inte gral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, many conceptual and fundamental problems were solved and new questions were posed which gave rise to a great number of investigations. A.N. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of basic results, with many applications to mechanics, geophysics, linguistics, biology and other branches of knowledge. This edition includes the most important papers by A.N. Kolmogorov on mathematics and natural science. It does not include philosophical and ped agogical studies of A.N. Kolmogorov, his articles written for the "Bol'shaya Sov'etskaya Entsiklopediya", papers on prosody and various applications of mathematics and publications on general questions. The material of this edition was selected and grouped by A.N. Kolmogorov.
Book Synopsis Selected Works of A.N. Kolmogorov by : Andreĭ Nikolaevich Kolmogorov
Download or read book Selected Works of A.N. Kolmogorov written by Andreĭ Nikolaevich Kolmogorov and published by . This book was released on 1991 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Russian Mathematicians in the 20th Century by : Yakov Sinai
Download or read book Russian Mathematicians in the 20th Century written by Yakov Sinai and published by World Scientific. This book was released on 2003-10-08 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation. The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today. The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union. Contents:Lyapunov (A New Case of Integrability of Differential Equations of Motion of a Solid Body in Liquid)Luzin (Sur l'absolue convergence des series trigonometriques)SteklovEgorov (Mathematics and Religion in Moscow, by C E Ford)Smirnov (Sur les polynomes orthogonaux a une veriable complexe)Bernstein (Sur la meilleure approximation sur tout l'axe reel des fonctions continues par des fonctions entieres de degre fini)UrysohnChebotaryovVinogradov (Representation of an Odd Number as the Sum of Three Primes)Aleksandrov (Sur la notion de dimension des ensembles fermes)MenshovGelfond (Sur le septierie probleme de Hilbert)Khinchin (Three Pearls of Number Theory)Kolmogorov (Local Structure of Turbulence in an Incompressible Viscous Fluid at Very Large Reynolds Numbers)Pontryagin (Homotopic Classification of an (n+2)-Dimensional Spheres into an n-Dimensional Spheres)Gelfand (On Identities for Eigenvalues of a Second Order Differential Operators)Sobolev (On a Theorem of Functional Analysis)Petrovsky (On Problem of some PDE's)Krein (On Extreme Points of Regularly Convex Sets)Liusternik (Topology and Variational Problem)Rokhlin (Proof of Gudkov's Hypothesis)Novikov (Periodic Groups)Bogoliubov (Mathematical Problems of Quantum Field Theory)Aleksandrov (Neue ungleichungen fur die mischvolumen konvexer korper)Kantorovich (A New Method of Solving of Some Classes of Extremal Problems)Malcev (Free Topological Algebras)Linnik (An Application of the Theory of Matrices and of Lobatschevskian Geometry to the Theory of Dirichlet's Real Characters)Markov (The Theory of Algorithms)Lavrentev (On the Theory of Quasi-Conformal Mapping of Three-Dimensional Domains)Tikhonov (Ueber die Erweiteung von Raumen)Delone (Sur le nombre de representations d'un nombre par une forme eubique a discriminent negatif)Keldysh (On the Completeness of the Eigenfunctions of Some Classes of Non-Self Adjoint Linear Operators)Faddeevand other articles Readership: General mathematicians. Keywords:Geometry & Topology;Analysis & Differential Equations;Algebra & Number TheoryReviews:“For anyone who wants an overview of mathematics in Russia during the 20th century there is now the volume Russian Mathematicians in the 20th century … It shall remain on my book shelf as a monument over a heroic generation.”Professor Lennart Carleson Institute of Mathematics, The Royal Institute of Technology, Stockholm, Sweden “The list selected is very representative both topically and geographically. It covers research in all areas of mathematics … The 33 persons in the list worked not only in Moscow and Leningrad (now Saint Petersburg), but also in Kiev, Odessa, Kazan, and Novosibirsk. Most of the work presented in this volume was done during the Soviet era when the Russian mathematical community was artificially isolated from the international one for political reasons. Thus to develop their subjects, Soviet mathematicians needed to be self-sufficient. And this volume shows that they indeed succeeded in it. The originality of the Russian mathematical school is clearly seen when one reads the papers included in the book. Altogether this volume gives a very strong impression of the versatility, originality and strength of the Russian mathematical school.”L D Faddeev Petersburg Department of the Steklov Institute of Mathematics , Russian Academy of Sciences “This book is fascinating … It shows the greatness of Russian or Soviet mathematicians and the foundations on which younger mathematicians could build up, leading to world leadership until the end of the Soviet Union when the exodus started.”F Hirzebruch Emeritus Professor of Mathematics University of Bonn
Book Synopsis Selected Works of A. N. Kolmogorov by : Vladimir M. Tikhomirov
Download or read book Selected Works of A. N. Kolmogorov written by Vladimir M. Tikhomirov and published by Springer. This book was released on 2014-03-14 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Praesidium of the USSR Academy of Sciences has decided to publish three volumes of Selected Works of A.N. Kolmogorov, one of the most prominent mathematicians of the 20th century. The creative work of A.N. Kolmogorov is exceptionally versatile. In his studies on trigonometric and orthogonal series, theory of measure and inte gral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, many conceptual and fundamental problems were solved and new questions were posed which gave rise to a great number of investigations. A.N. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of basic results, with many applications to mechanics, geophysics, linguistics, biology and other branches of knowledge. This edition includes the most important papers by A.N. Kolmogorov on mathematics and natural science. It does not include philosophical and ped agogical studies of A.N. Kolmogorov, his articles written for the "Bol'shaya Sov'etskaya Entsiklopediya", papers on prosody and various applications of mathematics and publications on general questions. The material of this edition was selected and grouped by A.N. Kolmogorov.
Book Synopsis Selected Works of A. N. Kolmogorov by : A.N. Shiryayev
Download or read book Selected Works of A. N. Kolmogorov written by A.N. Shiryayev and published by Springer. This book was released on 1992-12-31 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.
Book Synopsis Selected Works of A. N. Kolmogorov by : A.N. Shiryayev
Download or read book Selected Works of A. N. Kolmogorov written by A.N. Shiryayev and published by Springer. This book was released on 1992-02-29 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.
Book Synopsis Selected Works of A.N. Kolmogorov by : Vladimir Mikhaĭlovich Tikhomirov
Download or read book Selected Works of A.N. Kolmogorov written by Vladimir Mikhaĭlovich Tikhomirov and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Works II by : Andrei N. Kolmogorov
Download or read book Selected Works II written by Andrei N. Kolmogorov and published by Springer. This book was released on 2019-07-19 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.
Book Synopsis Fokker–Planck–Kolmogorov Equations by : Vladimir I. Bogachev
Download or read book Fokker–Planck–Kolmogorov Equations written by Vladimir I. Bogachev and published by American Mathematical Society. This book was released on 2022-02-10 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker–Planck–Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.
Book Synopsis Selected Works I by : Andrei N. Kolmogorov
Download or read book Selected Works I written by Andrei N. Kolmogorov and published by Springer. This book was released on 1992-07-14 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.
Book Synopsis Selected Works III by : Andrei N. Kolmogorov
Download or read book Selected Works III written by Andrei N. Kolmogorov and published by Springer. This book was released on 2019-07-19 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.
Book Synopsis Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem by : Achim Feldmeier
Download or read book Introduction to Arnold’s Proof of the Kolmogorov–Arnold–Moser Theorem written by Achim Feldmeier and published by CRC Press. This book was released on 2022-07-08 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCTION TO ARNOLD’S PROOF OF THE KOLMOGOROV–ARNOLD–MOSER THEOREM This book provides an accessible step-by-step account of Arnold’s classical proof of the Kolmogorov–Arnold–Moser (KAM) Theorem. It begins with a general background of the theorem, proves the famous Liouville–Arnold theorem for integrable systems and introduces Kneser’s tori in four-dimensional phase space. It then introduces and discusses the ideas and techniques used in Arnold’s proof, before the second half of the book walks the reader through a detailed account of Arnold’s proof with all the required steps. It will be a useful guide for advanced students of mathematical physics, in addition to researchers and professionals. Features • Applies concepts and theorems from real and complex analysis (e.g., Fourier series and implicit function theorem) and topology in the framework of this key theorem from mathematical physics. • Covers all aspects of Arnold’s proof, including those often left out in more general or simplifi ed presentations. • Discusses in detail the ideas used in the proof of the KAM theorem and puts them in historical context (e.g., mapping degree from algebraic topology).
Book Synopsis Electron Model Based on Helmholtz’s Electron Vortex Theory & Kolmogorov’s Theory of Turbulence by : Victor Christianto
Download or read book Electron Model Based on Helmholtz’s Electron Vortex Theory & Kolmogorov’s Theory of Turbulence written by Victor Christianto and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we explore a new electron model based on Helmholtz’s electron vortex and Kolmogorov theory of turbulence. We also discuss a new model of origination of charge and matter.
