#convex-geometry

52. Convex and Discrete Geometry

This volume studies convex sets, polytopes, and discrete geometric structures. It emphasizes combinatorial structure, geometric inequalities, and computational aspects. Part I. Convex Sets Chapter 1. Convexity 1.1 Convex sets and combinations 1.2 Convex hulls 1.3 Extreme points 1.4 Carathéodory theorem 1.5 Examples Chapter 2. Separation and Support 2.1 Supporting hyperplanes 2.2 Separation theorems 2.3 Dual cones 2.4 Applications 2.5 Examples Chapter 3. Convex Functions 3.1 Definitions 3.2 Properties 3.3 Jensen...