Foundations of the Probabilistic Mechanics of Discrete Media

Foundations of the Probabilistic Mechanics of Discrete Media

1st Edition - February 1, 1984

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  • Author: D. R. Axelrad
  • eBook ISBN: 9781483285726

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Description

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.

Readership

For researchers in mechanics.

Table of Contents

  • Mathematical preliminaries. Markov processes and Markov random fields. General formulation of probabilistic mechanics. Probabilistic mechanics of solids. Probabilistic mechanics of fluids. Bibliography. Subject index.

Product details

  • Language: English
  • Copyright: © Pergamon 1984
  • Published: February 1, 1984
  • Imprint: Pergamon
  • eBook ISBN: 9781483285726

About the Author

D. R. Axelrad

Affiliations and Expertise

McGill University, Montreal, Canada

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