Overview

Full Product Details

Author:   Kazimierz Sobczyk ,  David J. Kirkner
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2001 ed.
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.579kg
ISBN:  

9780817642334

ISBN 10:   0817642331
Pages:   270
Publication Date:   21 September 2001
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1. Probability and Random Variables: A Short Résumé.- 1.1 Basic Concepts.- 1.2 Some Probability Distributions.- 1.3 Convergence of Sequences of Random Variables.- 1.4 Stochastic Processes.- 2. Continuous Random Fields.- 2.1 Basic Concepts.- 2.2 Homogeneous Random Fields.- 2.3 Isotropic Random Fields.- 2.4 Locally Homogeneous and Isotropic Random Fields.- 2.5 Space-Time Random Fields.- 2.6 Vector-Valued Random Fields.- 2.7 Tensor-Valued Random Fields.- 2.8 Markov Random Fields.- 2.9 Fields Governed by Stochastic Equations.- 3. Random Point Fields.- 3.1 Basic Properties.- 3.2 Poisson Random Fields.- 3.3 Boolean Random Fields.- 3.4 Markov and Gibbs Fields.- 3.5 Random Configurations of Objects.- 3.6 Random Set Patterns.- 4. Statistical Inference.- 4.1 Introductory Remarks.- 4.2 Estimation of Mean and Covariance.- 4.3 Estimation of Spectral Density.- 4.4 Prediction Problems: Kriging.- 4.5 Spatial Sampling Design.- 4.6 Inference for Point Fields.- 4.7 Stereology.- 4.8 Simulation and Remarks.- 5. Material Media Microstructure: Modeling Issues.- 5.1 Basic Characteristics of Microstructure.- 5.2 Averaging Procedures.- 5.3 Homogenization and Smoothing.- 5.4 Random Porous Media.- 5.5 Spatial Randomness in Solid Materials.- 6. Physical Phenomena in Random Microstructures: Selected Applications.- 6.1 Introductory Remarks.- 6.2 Wave Propagation.- 6.3 Pollution Transport in Groundwater.- 6.4 Deformation of Random Elastic Materials.- 6.5 Random Microstructure and Fracture.- 6.6 Other Problems and Remarks.- References.- Author Index.

Reviews

""It is the objective of this book to provide the basic principles and results of the theory of random fields (both continuous and discrete) with special emphasis on methods that are important for the modeling of real random material microstructures!. The book may be viewed as a comprehensive introduction to the field of stochastic modeling of material microstructures and will be useful for researchers and professionals in material modeling, engineering and in applied mathematics in general."" --Applications of Mathematics

It is the objective of this book to provide the basic principles and results of the theory of random fields (both continuous and discrete) with special emphasis on methods that are important for the modeling of real random material microstructuresa ]. The book may be viewed as a comprehensive introduction to the field of stochastic modeling of material microstructures and will be useful for researchers and professionals in material modeling, engineering and in applied mathematics in general. a Applications of Mathematics

It is the objective of this book to provide the basic principles and results of the theory of random fields (both continuous and discrete) with special emphasis on methods that are important for the modeling of real random material microstructures... The book may be viewed as a comprehensive introduction to the field of stochastic modeling of material microstructures and will be useful for researchers and professionals in material modeling, engineering and in applied mathematics in general. -Applications of Mathematics

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