A comprehensive introduction to convex bodies giving full proofs for some deeper theorems which have never previously been brought together.

At the heart of this monograph is the Brunn–Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their ge

The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimensi

A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.