The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering. Cet ouvrage est une introduction p?dagogique ? la th?orie de l'homog?n?isation, et aux approches num?riques associ?es, pour la compr?hension et la simulation des probl?mes ? plusieurs ?chelles. La pr?sentation est ax?e sur les diff?rentes hypoth?ses possibles pour mettre en oeuvre la th?orie, selon que le milieu ambiant a une g?om?trie p?riodique ou non. Le public vis? est celui des cycles M et D des universit?s ainsi que celui des ?coles d'ing?nieurs et formations ?quivalentes.
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