Kolmogorov's Heritage in Mathematics (2007)

Most mathematicians prove what they can, Kolmogorov belonged to a select group who proved what they want. 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, and the way in which this research has evolved. Coverage also includes examples of recent applications and a presentation of the modern prospects. Rather than present detailed proofs, the main ideas are described. A bibliography is provided for those who wish to understand the technical details.