Introduction to the Theory of Optimization in Euclidean Space (Paperback, 1)

1. Introduction 1.1. Formulation of some optimization problems1.2. Particular subsets of Rn1.3. Functions of several variables 2. Unconstrained Optimization2.1. Necessary condition2.2. Classification of local extreme points2.3. Convexity/concavity and global extreme points 2.4. Extreme value theorem3. Constrained Optimization-Equality constraints3.1. Tangent plane 3.2. Necessary condition for local extreme points-Equality constraints3.3. Classification of local extreme points-Equality constraints 3.4. Global extreme points-Equality constraints 4. Constrained Optimization-Inequality constraints 4.1. Cone of feasible directions 4.2. Necessary condition for local extreme points/Inequality constraints4.3. Classification of local extreme points-Inequality constraints4.4. Global extreme points-Inequality constraints4.5. Dependence on parameters