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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 |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford [Oxfordshire] ; New York :
Pergamon Press,
1984.
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| Edición: | 1st ed. |
| Colección: | Foundations & philosophy of science & technology.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.
- 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.
- 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.