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

A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence

Modern text examining the interplay between measure theory and Fourier analysis.