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" Tensor-valued random fields for continuum physics / "
Anatoliy Malyarenko (Mälardalen University Sweden), Martin Ostoja-Starzewski (University of Illinois).
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BL
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| Record Number
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839491
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| Main Entry
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Malyarenko, Anatoliy
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| Title & Author
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Tensor-valued random fields for continuum physics /\ Anatoliy Malyarenko (Mälardalen University Sweden), Martin Ostoja-Starzewski (University of Illinois).
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| Publication Statement
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Cambridge, United Kingdom ;New York, NY :: Cambridge University Press,, 2019.
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| Series Statement
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Cambridge monographs on mathematical physics
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| Page. NO
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x, 302 pages :: illustrations ;; 26 cm.
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| ISBN
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1108429858
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: 9781108429856
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9781108567800 (PDF ebook)
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Introduction to continuum theories -- Mathematical preliminaries -- Mathematical results -- Tensor random fields in continuum theories.
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| Abstract
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"Many areas of continuum physics pose a challenge to physicists. What are the most general, admissible statistically homogeneous and isotropic tensor-valued random fields (TRFs)? Previously, only the TRFs of rank 0 were completely described. This book assembles a complete description of such fields in terms of one- and two-point correlation functions for tensors of ranks 1 through 4. Working from the standpoint of invariance of physical laws with respect to the choice of a coordinate system, spatial domain representations, as well as their wavenumber domain counterparts are rigorously given in full detail. The book also discusses, an introduction to a range of continuum theories requiring TRFs, an introduction to mathematical theories necessary for the description of homogeneous and isotropic TRFs, and a range of applications including a strategy for simulation of TRFs, ergodic TRFs, scaling laws of stochastic constitutive responses, and applications to stochastic partial differential equations." - publisher
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Field theory (Physics)
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Geometry, Differential.
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Random fields.
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Tensor fields.
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Field theory (Physics)
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Geometry, Differential.
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Random fields.
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Tensor fields.
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| Dewey Classification
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530.14
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| LC Classification
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QC793.3.F5M35 2019
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| Added Entry
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Ostoja-Starzewski, Martin
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