<電子ブック>
Selected Works III : Information Theory and the Theory of Algorithms / by Andrei N. Kolmogorov ; edited by Albert N. Shiryaev
(Mathematics and its Applications, Soviet Series ; 27)
版 | 1st ed. 1993. |
---|---|
出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
出版年 | 1993 |
本文言語 | 英語 |
大きさ | XXVIII, 275 p : online resource |
著者標目 | *Kolmogorov, Andrei N author Shiryaev, Albert N editor SpringerLink (Online service) |
件 名 | LCSH:Computer science -- Mathematics
全ての件名で検索
LCSH:Data structures (Computer science) LCSH:Information theory FREE:Mathematical Applications in Computer Science FREE:Data Structures and Information Theory |
一般注記 | Papers by A. V. Kolmogorov -- 1. On the notion of algorithm -- 2. On the general definition of the quantity of information -- 3. The theory of transmission of information -- 4. Amount of information and entropy for continuous distributions -- 5. New metric invariant of transitive dynamical systems and automorphisms of Lebesgue spaces -- 6. To the definition of algorithms -- 7. ?-entropy and ?-capacity of sets in functional spaces -- 8. Various approaches to estimating the complexity of approximate representation and calculation of functions -- 9. On tables of random numbers -- 10. Three approaches to the definition of the notion of amount of information -- 11. On the realization of networks in three — dimensional space -- 12. To the logical foundations of the theory of information and probability theory -- 13. The combinatorial foundations of information theory and the probability calculus -- Comments and addenda -- On works in information theory and some of its applications -- Information theory -- Algorithmic information theory -- ?-entropy and ?-capacity -- Tables of random numbers -- Realization of networks in 3-dimensional space -- Ergodic theory -- Kolmogorov’s algorithms or machines -- From A. N. Kolmogorov’s recollections -- Appendix 1. Report to the mathematical circle about square pavings -- Appendix 2. On operations on sets. II -- Afterword 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 HTTP:URL=https://doi.org/10.1007/978-94-017-2973-4 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9789401729734 |
|
電子リソース |
|
EB00239393 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA76.9.M35 DC23:004.0151 |
書誌ID | 4000111657 |
ISBN | 9789401729734 |
類似資料
この資料の利用統計
このページへのアクセス回数:10回
※2017年9月4日以降