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

This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysi

"Topology of Metric Spaces gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces

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