This book studies the geometric properties of general sets and measures in euclidean space.

"'Lebesgue Integration on Euclidean Space' contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. It contains many ex

The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with posi

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