Convexity and Well-Posed Problems (CMS Books in Mathematics) by Roberto Lucchetti (Author)This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We shall consider convex functions from the most modern point of view: a function is defned to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set.