Convexity


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This book discusses convexity, the properties of convex sets.

Contents

 * What is a convex set?
 * The intersection of convex sets is convex
 * Examples of convex sets
 * The convex hull
 * The diameter of a set
 * Convex polytopes
 * Helly's theorem
 * Caratheodory's theorem
 * Kirchberger's theorem
 * Convex functions
 * The Blaschke selection theorem