This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.

Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation.

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

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