The purpose of this book is to communicate some of the recent advances in this field while preparing the reader for more advanced study. The material can be rou

The purpose of this book is to communicate some of the recent advances in this field while preparing the reader for more advanced study. The material can be rou

This book presents the main mathematical prerequisites for analysis in metric spaces. It covers abstract measure theory, Hausdorff measures, Lipschitz functions

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by

The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability meas