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Foundations of the Probabilistic Mechanics of Discrete Media
1st Edition - February 1, 1984
Author: D. R. Axelrad
Language: English
eBook ISBN:9781483285726
9 7 8 - 1 - 4 8 3 2 - 8 5 7 2 - 6
This latest volume in the Foundations & Philosophy of Science & Technology series provides an account of probabilistic functional analysis and shows its applicability in…Read more
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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 such variables. Hence the probabilistic mechanics of discrete media are based on the mathematical theory of probability and the axiomatics of measure theory.
For researchers in mechanics.
Mathematical preliminaries. Markov processes and Markov random fields. General formulation of probabilistic mechanics. Probabilistic mechanics of solids. Probabilistic mechanics of fluids. Bibliography. Subject index.
No. of pages: 174
Language: English
Edition: 1
Published: February 1, 1984
Imprint: Pergamon
eBook ISBN: 9781483285726
DA
D. R. Axelrad
Affiliations and expertise
McGill University, Montreal, Canada
Read Foundations of the Probabilistic Mechanics of Discrete Media on ScienceDirect