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This book is intended for graduate students and research mathematicians interested in calculus of variations and optimal control; optimization.

A broad survey of the theory of rectifiability and its deep connections to numerous different areas of mathematics.

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

The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of ana

This book deals with fractal geometries that have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Eucli