Faithin Omaha eBook Collection

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

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

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