Chapter 1- Preliminaries
Chapter 2- What is Homogenization and Multiscale? First Examples
Chapter 3- Brief History and Surprising Examples in Homogenization
Chapter 4- Formal Two-scale Asymptotic Expansions and the Corrector Problem
Chapter 5- Compensated Compactness and Oscillating Test-functions
Chapter 6- Two-scale Convergence
Chapter 7- Examples of Explicit Effective Coefficients: Laminated Structures and 2D Checkerboards
Chapter 8- Introduction to Stochastic Homogenization
Chapter 9- G-Convergence in Nonlinear Homogenization Problems
Chapter 10- An Example of a Nonlinear Problem: Homogenization of Plasticity and Limit Loads
Chapter 11- Continuum Limits for Discrete Problems with Fine Scales
References
Appendix: Regular and Singular Perturbations and Boundary Layers
Index.