Convex geometry is at once simple and amazingly rich. While the classical results go back many decades, during that previous to this book's publication in 1999,

The study of the geometry of convex bodies based on information about sections and projections of these bodies has important applications in many areas of mathe

Examines in detail those topics in convex geometry that are concerned with Euclidean space Enriched by numerous examples, illustrations, and exercises, with a g

The book showcases convexity in the context of mathematical analysis. It introduces analytic tools for studying convexity and provides analytical applications o

This book provides a self-contained introduction to convex geometry in Euclidean space. After covering the basic concepts and results, it develops Brunn–Minko