This book investigates the mathematical framework required to describe the macroscopic properties of structures characterized by fine, fast-oscillating microstructures. Andrea Braides and Anneliese Defranceschi provide a rigorous introduction to the homogenization of nonlinear integral functionals. By focusing on asymptotic analysis, the authors establish a methodology that remains effective even when traditional smoothness or convexity assumptions are absent. The text serves as a foundational reference for understanding how local variations in material properties aggregate into predictable global behaviors.

Experts recognize this work as a foundational text for researchers and graduate students specializing in the calculus of variations and homogenization theory. Readers frequently note the technical density of the prose, which requires a strong background in functional analysis to fully grasp the presented proofs and applications.