Contents: Introduction and Problem Formulation -- Existence Theorems for Minimal Points: Problem Formulation -- Existence Theorems -- Set of Minimal Points -- Application to Approximation Problems -- Application to Optimal Control Problems -- Generalized Derivatives: Directional Derivative -- Gรขteaux and Frรฉchet Derivatives -- Subdifferential -- Quasidifferential -- Clarke Derivative -- Tangent Cones: Definition and Properties -- Optimality Conditions -- A Lyusternik Theorem -- Generalized Lagrange Multiplier Rule: Problem Formulation -- Necessary Optimality Conditions -- Sufficient Optimality Conditions -- Application to Optimal Control Problems -- Duality: Problem Formulation -- Duality Theorems -- Saddle Point Theorems -- Linear Problems -- Application to Approximation Problems -- Direct Treatment of Special Optimization Problems: Linear Quadratic Optimal Control Problems -- Time Minimal Control Problems -- Appendices: Weak Convergence -- Reflexity of Banach Spaces -- Hahn-Banach Theorem -- Partially Ordered Linear Spaces

1. Mathematics
2. Operations research
3. Decision making
4. System theory
5. Calculus of variations
6. Applied mathematics
7. Engineering mathematics
8. Mathematics
9. Systems Theory
10. Control
11. Calculus of Variations and Optimal Control; Optimization
12. Operation Research/Decision Theory
13. Appl.Mathematics/Computational Methods of Engineering