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Getting Acquainted with Homogenization and Multiscale

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Cover of 'Getting Acquainted with Homogenization and Multiscale'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries
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    Chapter 2 What Is Homogenization and Multiscale? First Examples
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    Chapter 3 Brief History and Surprising Examples in Homogenization
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    Chapter 4 Formal Two-Scale Asymptotic Expansions and the Corrector Problem
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    Chapter 5 Compensated Compactness and Oscillating Test Functions
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    Chapter 6 Two-Scale Convergence
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    Chapter 7 Examples of Explicit Effective Coefficients: Laminated Structures and 2D Checkerboards
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    Chapter 8 Introduction to Stochastic Homogenization
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    Chapter 9 Γ -Convergence in Nonlinear Homogenization Problems
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    Chapter 10 An Example of a Nonlinear Problem: Homogenization of Plasticity and Limit Loads
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    Chapter 11 Continuum Limits for Discrete Problems with Fine Scales
Attention for Chapter 8: Introduction to Stochastic Homogenization
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