Mordukhovich B., Nam N. An Easy Path to Convex Analysis and Applications

San Rafael Ca: Morgan & Claypool Publishers, 2014. — 202 p.The main goal of this book is to provide an easy access to the most fundamental parts of convex analysis and its applications to optimization. Modern techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and build the theory of generalized differentiation for convex functions and sets in finite dimensions.