Convexity [Paperback]

This account of convexity includes the basic properties of convex sets in Euclidean space and their applications.This account of convexity includes the basic properties of convex sets in Euclidean space and their applications, the theory of convex functions and an outline of the results of transformations and combinations of convex sets.This account of convexity includes the basic properties of convex sets in Euclidean space and their applications, the theory of convex functions and an outline of the results of transformations and combinations of convex sets.This account of convexity includes the basic properties of convex sets in Euclidean space and their applications, the theory of convex functions and an outline of the results of transformations and combinations of convex sets. It will be useful for those concerned with the many applications of convexity in economics, the theory of games, the theory of functions, topology, geometry and the theory of numbers.1. General Properties of Convex Sets; 2. Helly's Theorem and its Applications; 3. General Properties of Convex Functions; 4. Approximations to Convex Sets; 5. Transformations and Combinations of Convex Sets; 6. Some Special Problems; 7. Sets of a Constant Width.