"In this thesis, we explore how the theory of functions of bounded variation (BV) establishes an appropriate and versatile framework in the study of geometric v

The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level

The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after

An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.

Functions of bounded variation are most important in many fields of mathe¬matics. This thesis investigates spaces of functions of bounded variation with one va