Introduction to the Theory of Optimization in Euclidean Space (Hardcover)

1 Introduction 1.1 Formulation of some optimization problems 1.2 Particular subsets of Rn 1.3 Functions of several variables 2 Unconstrained Optimization 2.1 Necessary condition 2.2 Classification of local extreme points 2.3 Convexity/concavity and global extreme points 2.4 Extreme value theorem 3 Constrained Optimization-Equality constraints 3.1 Tangent plane 3.2 Necessary condition for local extreme points-Equality constraints 3.3 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 constraints 4.3 Classification of local extreme points-Inequality constraints 4.4 Global extreme points-Inequality constraints 4.5 Dependence on parameters