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Foundations of the probabilistic mechanics of discrete media /
This latest volume in the Foundations & Philosophy of Science & Technology series provides an account of probabilistic functional analysis and shows its applicability in the formulation of the behaviour of discrete media with the inclusion of microstructural effects. Although quantum mechani...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford [Oxfordshire] ; New York :
Pergamon Press,
1984.
|
| Edición: | 1st ed. |
| Colección: | Foundations & philosophy of science & technology.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Axelrad, D. R. | |
| 245 | 1 | 0 | |a Foundations of the probabilistic mechanics of discrete media / |c by D.R. Axelrad. |
| 250 | |a 1st ed. | ||
| 260 | |a Oxford [Oxfordshire] ; |a New York : |b Pergamon Press, |c 1984. | ||
| 300 | |a 1 online resource (viii, 166 pages) : |b illustrations | ||
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| 490 | 1 | |a Foundations & philosophy of science & technology series | |
| 504 | |a Includes bibliographical references and index. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
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| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Foundations of the Probabilistic Mechanics of Discrete Media; Copyright Page; Preface; Table of Contents; Chapter 1. Mathematical Preliminaries; 1.1 Introduction; 1.2 Basic concepts and definitions of functional analysis; 1.3 Probability, random variables and processes; 1.4 Basic stochastic process; 1.5 Random fields; Chapter 2. Markov Processes and Markov Random Fields; 2.1 Introduction; 2.2 Markov theory and dynamical semi-groups; 2.3 Markov random fields; Chapter 3. General Formulation of Probabilistic Mechanics; 3.1 Introduction; 3.2 States of elements of the structure. | |
| 505 | 8 | |a 3.3 Fundamental concepts and definitions3.4 The structure of the probabilistic function space; 3.5 Interaction effects, potentials; 3.6 Duality of spaces; 3.7 Operational forms of the macroscopic constitutive relations; Chapter 4. Probabilistic Mechanics of Solids; 4.1 Introduction; 4.2 Elements of the microstructure in solids; 4.3 Interaction effects; 4.4 General probabilistic deformation theory; 4.5 Stability of microstructures; 4.6 Material operators and boundary-value problems; 4.7 Dynamics of structured solids; Chapter 5. Probabilistic Mechanics of Fluids; 5.1 Introduction. | |
| 505 | 8 | |a 5.2 Molecular dynamics of simple fields5.3 Response and fluctuation theory; 5.4 Probabilistic mechanics of discrete fields; 5.5 Markov theory in the mechanics of discrete fields; Bibliography; Subject Index. | |
| 520 | |a This latest volume in the Foundations & Philosophy of Science & Technology series provides an account of probabilistic functional analysis and shows its applicability in the formulation of the behaviour of discrete media with the inclusion of microstructural effects. Although quantum mechanics have long been recognized as a stochastic theory, the introduction of probabilistic concepts and principles to classical mechanics has in general not been attempted. In this study the author takes the view that the significant field quantities of a discrete medium are random variables or functions of s. | ||
| 650 | 0 | |a Mechanics. | |
| 650 | 0 | |a Markov processes. | |
| 650 | 0 | |a Random fields. | |
| 650 | 6 | |a M�ecanique. |0 (CaQQLa)201-0003997 | |
| 650 | 6 | |a Processus de Markov. |0 (CaQQLa)201-0024070 | |
| 650 | 6 | |a Champs al�eatoires. |0 (CaQQLa)201-0097819 | |
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| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
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| 650 | 7 | |a Mechanics. |2 fast |0 (OCoLC)fst01013446 | |
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| 776 | 0 | 8 | |i Print version: |a Axelrad, D.R. |t Foundations of the probabilistic mechanics of discrete media. |b 1st ed. |d Oxford [Oxfordshire] ; New York : Pergamon Press, 1984 |w (DLC) 83008080 |w (OCoLC)9464848 |
| 830 | 0 | |a Foundations & philosophy of science & technology. | |
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