Preface -- Chapter 1. Basic Notions and Definitions -- 1.1. Introduction -- 1.2. Basic Notions of Analysis and Linear Algebra -- 1.3. Basic Notions and Properties of Optimization Problems -- Chapter 2. Elements of Convex Analysis. Theorems of the Alternative for Linear Systems. Tangent Cones --...

Convex Sets: Basic properties -- Convex Sets: Binary Operations -- Convex Sets: Topological Properties -- Convex Sets: Dual Description -- Convex Functions: Basic Properties -- Convex Functions: Dual Description -- Convex Problems: The Main Questions -- Optimality Conditions: Reformulations --...