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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.

## About book:

## About file:

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- Author:
**Eric Charpentier, Annick Lesne, NikolaÃ¯ K. Nikolski** - Year:
**2007** - Publisher:
**Springer** - Language:
**English** - ISBN:
**3540363491,978-3-540-36349-1**

- File size:
**5 530 460** - Format:
**pdf**

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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...

This book has been designed primarily for the use of first year students at the Universities whose abilities reach or approach something like what is usually described as 'scholarship standard'. I hope that it may be useful to other classes of readers, bu...

Hayek (Pennsylvania State University) presents methods of applied mathematics that are particularly suited for the application of mathematics to physical problems in science and engineering. The textbook is intended for a three-semester graduate course se...

This book provides a concise introduction to the mathematical cosmology of the origin, structure and evolution of the universe. The book begins with a brief overview of observational and theoretical cosmology, along with a short introduction to general re...

In this course, we will study some mathematical models and problems associated with basic problems in computer vision and digital image processing. The mathematical models are set up with various mathematical theories, ranging from Bayesian inference appr...

Robert Kaplan's The Nothing That Is: A Natural History of Zero was an international best-seller, translated into eight languages. The Times called it "elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf" and The ...

This book will be a major convenience to derivatives traders, risk managers, and other users and developers of derivatives models. It greatly reduces the cost of entry into the mathematical world of valuation, hedging, and risk measurement for derivatives...

This introduction to the mathematical foundations of quantum field theory is based on operator algebraic methods and emphasizes the link between the mathematical formulations and related physical concepts. The book begins with a general probabilistic desc...

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This book constitutes the refereed proceedings of the 16th International Conference on Conceptual Structures, ICCS 2008, held in Toulouse, France, in July 2008. The 19 revised full papers presented together with 2 invited papers were carefully reviewed a...

Conditionals are fascinating and versatile objects of knowledge representation. On the one hand, they may express rules in a very general sense, representing, for example, plausible relationships, physical laws, and social norms. On the other hand, as def...

This book constitutes the thoroughly refereed post-proceedings of the First International Workshop on Constraint Solving and Language Processing, CSLP 2004, held in Roskilde, Denmark in September 2004. The 8 revised papers presented together with 4 invit...

The interconnected ideas of inductive databases and constraint-based mining are appealing and have the potential to radically change the theory and practice of data mining and knowledge discovery. This book reports on the results of the European IST proje...

CoLIS 5 was the ?fth in the series of international conferences whose general aim is to provide a broad forum for critically exploring and analyzing research inareassuchascomputerscience,informationscienceandlibraryscience.CoLIS examinesthehistorical,theo...

This book constitutes the refereed proceedings of the Second International Conference on Cooperative Design, Visualization, and Engineering, CDVE 2005, held in Palma de Mallorca, Spain, in September 2005.The 28 revised full papers presented were carefully...

This book constitutes the refereed proceedings of the Third International Conference on Cooperative Design, Visualization, and Engineering, CDVE 2006, held in Mallorca, Spain in September 2006.The 40 revised full papers presented were carefully reviewed a...

This book constitutes the refereed proceedings of the 10th International Workshop on Cooperative Information Agents, CIA 2006, held in Edinburgh, UK in September 2006.The 29 revised full papers presented together with four invited papers were carefully re...

These are the proceedings of the 11th International Workshop on Cooperative Information Agents (CIA 2007), held at the Delft University of Technology, The Netherlands, September 19â€“21, 2007. Intodayâ€™sworldofubiquitouslyconnectedheterogeneousinformationsys...

This book constitutes the thoroughly refereed post-proceedings of the International Workshop on Agents, Norms and Institutions for Regulated Multiagent Systems, ANIREM 2005, and the International Workshop on Organizations in Multi-Agent Systems, OOOP 2005...