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[ 洋図書 ] Handbook of dynamics and probability /

Peter Müller. -- Springer, -- [2022], --

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ISBN 3030884856
ISBN13桁 9783030884857
無効なISBN等 9783030884864 (electronic bk.)
テキストの言語 英語                  
分類：NDC10版 423.4
個人著者標目 Müller, Peter,
生没年等 1944-
本タイトル Handbook of dynamics and probability /
著者名 Peter Müller.
出版地・頒布地 Cham, Switzerland :
出版者・頒布者名 Springer,
出版年・頒布年 [2022],
数量 xiv, 543 pages :
他の形態的事項 illustrations ;
大きさ 25 cm.
書誌注記 Includes bibliographical references and index.
内容注記 Introduction -- I Dynamics -- Deterministic dynamical systems -- Linear and integrable systems -- Stability and long-time behavior -- Ergodic theory -- Numerical Algorithms -- II Probability -- Probability Theory -- Discrete-time stochastic processes -- Continuous-time stochastic processes -- Information entropy -- III Probability in dynamical evolution -- Time evolution of broadened initial states -- Stochastic processes generated by observables -- Stochastic dynamical systems -- IV Probability in scientific reasoning -- Interpretations of probability -- Parameter estimation and hypothesis testing -- Bayesian inferences -- V Probability in physics -- Equilibrium statistical mechanics -- Non-equilibrium statistical mechanics -- Foundational issues of statistical mechanics -- Quantum Mechanics -- A Classical Mechanics -- B Thermostatics -- C Fluid dynamics -- D Some proofs and explicit computations -- E Mathematical tools, conventions and notation -- References -- Index.
要約、抄録、注釈等 "Our time is characterized by an explosive growth in the use of ever more complicated and sophisticated (computer) models. These models rely on dynamical systems theory for the interpretation of their results and on probability theory for the quantification of their uncertainties. A conscientious and intelligent use of these models requires that both these theories are properly understood. This book is to provide such understanding. It gives a unifying treatment of dynamical systems theory and probability theory. It covers the basic concepts and statements of these theories, their interrelations, and their applications to scientific reasoning and physics. The book stresses the underlying concepts and mathematical structures but is written in a simple and illuminating manner without sacrificing too much mathematical rigor. The book is aimed at students, post-docs, and researchers in the applied sciences who aspire to better understand the conceptual and mathematical underpinnings of the models that they use. Despite the peculiarities of any applied science, dynamics and probability are the common and indispensable tools in any modeling effort. The book is self-contained, with many technical aspects covered in appendices, but does require some basic knowledge in analysis, linear algebra, and physics. Peter Müller, now a professor emeritus at the University of Hawaii, has worked extensively on ocean and climate models and the foundations of complex system theories"--Page 4 of cover.
一般件名 Dynamics -- Handbooks, manuals, etc.
Probabilities -- Handbooks, manuals, etc.
資料情報1 『Handbook of dynamics and probability /』　Peter Müller.　Springer,　[2022], （所蔵館：中央　 請求記号：F/423.4/M95/H　 資料コード：7116615011）
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352060074

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