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Kolmogorov in Perspective

2000 Mathematicians
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Release : 2000
Genre : Mathematicians
Kind : eBook
Book Rating : 181/5 ( reviews)

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Book Synopsis Kolmogorov in Perspective by :

Download or read book Kolmogorov in Perspective written by . This book was released on 2000. 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.

Kolmogorov in Perspective

2000 BIOGRAPHY & AUTOBIOGRAPHY
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Release : 2000
Genre : BIOGRAPHY & AUTOBIOGRAPHY
Kind : eBook
Book Rating : 883/5 ( reviews)

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Book Synopsis Kolmogorov in Perspective by : London Mathematical Society

Download or read book Kolmogorov in Perspective written by London Mathematical Society. This book was released on 2000. 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.

Kolmogorov's Heritage in Mathematics

2007-09-13 Mathematics
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Release : 2007-09-13
Genre : Mathematics
Kind : eBook
Book Rating : 513/5 ( reviews)

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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. This book was released on 2007-09-13. 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.

Turbulence

1995-11-30 Science
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Release : 1995-11-30
Genre : Science
Kind : eBook
Book Rating : 976/5 ( reviews)

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Book Synopsis Turbulence by : Uriel Frisch

Download or read book Turbulence written by Uriel Frisch. This book was released on 1995-11-30. Available in PDF, EPUB and Kindle. Book excerpt: 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. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.

An Introduction to Kolmogorov Complexity and Its Applications

2019-06-11 Mathematics
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Release : 2019-06-11
Genre : Mathematics
Kind : eBook
Book Rating : 985/5 ( reviews)

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Book Synopsis An Introduction to Kolmogorov Complexity and Its Applications by : Ming Li

Download or read book An Introduction to Kolmogorov Complexity and Its Applications written by Ming Li. This book was released on 2019-06-11. Available in PDF, EPUB and Kindle. Book excerpt: This must-read textbook presents an essential introduction to Kolmogorov complexity (KC), a central theory and powerful tool in information science that deals with the quantity of information in individual objects. The text covers both the fundamental concepts and the most important practical applications, supported by a wealth of didactic features. This thoroughly revised and enhanced fourth edition includes new and updated material on, amongst other topics, the Miller-Yu theorem, the Gács-Kučera theorem, the Day-Gács theorem, increasing randomness, short lists computable from an input string containing the incomputable Kolmogorov complexity of the input, the Lovász local lemma, sorting, the algorithmic full Slepian-Wolf theorem for individual strings, multiset normalized information distance and normalized web distance, and conditional universal distribution. Topics and features: describes the mathematical theory of KC, including the theories of algorithmic complexity and algorithmic probability; presents a general theory of inductive reasoning and its applications, and reviews the utility of the incompressibility method; covers the practical application of KC in great detail, including the normalized information distance (the similarity metric) and information diameter of multisets in phylogeny, language trees, music, heterogeneous files, and clustering; discusses the many applications of resource-bounded KC, and examines different physical theories from a KC point of view; includes numerous examples that elaborate the theory, and a range of exercises of varying difficulty (with solutions); offers explanatory asides on technical issues, and extensive historical sections; suggests structures for several one-semester courses in the preface. As the definitive textbook on Kolmogorov complexity, this comprehensive and self-contained work is an invaluable resource for advanced undergraduate students, graduate students, and researchers in all fields of science.

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