Contains lecture notes from most of the courses presented at the 50th anniversary edition of the Seminaire de Mathematiques Superieure in Montreal. This 2011 su

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

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

Analysis on metric spaces emerged in the 1990s as an independent research field providing a unified treatment of first-order analysis in diverse and potentially

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a partition (an iterated d