<図書>
Probabilistic properties of deterministic systems
責任表示 | Andrzej Lasota, Michael C. Mackey |
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データ種別 | 図書 |
出版情報 | Cambridge : Cambridge University Press , c1985 |
本文言語 | 英語 |
大きさ | x, 358 p. : ill. ; 24 cm |
概要 | This book shows how densities arise in simple deterministic systems. Recently there has been explosive growth in interest in physical, biological, and economic systems that can be profitably studied u...ing densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed. 続きを見る |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | LASO/10/K1 | 1985 |
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068252186002312 |
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理系図 自動書庫 | A/Las | 1985 |
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068252188007948 |
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理系図 自動書庫 | 418.7/L 33/1 | 1985 |
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068582186004913 |
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書誌詳細
一般注記 | Bibliography: p. 345-349 Includes index |
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著者標目 | *Lasota, Andrzej, 1932- Mackey, Michael C., 1942- |
件 名 | LCSH:System analysis LCSH:Probabilities |
分 類 | LCC:QA402 DC19:003 |
書誌ID | 1001053400 |
ISBN | 052130248X |
NCID | BA00068052 |
巻冊次 | ISBN:052130248X |
登録日 | 2009.09.17 |
更新日 | 2009.11.02 |