Preface Introduction 1. *G-convergence by numbers 2. Integral problems 3. Some homogenization problems 4. From discrete systems to integral functionals 5. Segmentation problems 6. Phase-transition problems 7. Free-discontinuity problems 8. Approximation of free-discontinuity problems 9. More homogenization problems 10. Interaction between elliptic problems and partition problems 11. Discrete systems and free-discontinuity problems 12. *Some comments on vectoral problems 13. *Dirichlet problems in perforated domains 14. *Dimension-reduction problems 15. *The 'slicing' method 16. *An introduction to the localization method of *G-convergence Appendix A. Some quick recalls Appendix B. Characterization of *G-convergence for 1D integral problems List of symbols References Index B.