Getting Acquainted with Homogenization and Multiscale

The objective of this book is to navigate beginning graduate students in mathematics and engineeringthrough amature field of multiscale problems in homogenization theory and to provide an idea of its broad scope.An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions toGamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow.A blend of mathematics and examples from materialsscience and engineeringis designedto teach a mixed audience of mathematicaland non-mathematical students.