I. Linear Optimization.- §1. Introduction.- §2. Linear Optimization and Polyhedra.- §3. Vertex Exchange and the Simplex Method.- §4. Algorithmic Implementation of the Simplex Method.- §5. Dual Linear Optimization Problems.- II. Convex Optimization.- §6. Introduction.- §7. A Characterization of Minimal Solutions for Convex Optimization.- §8. Convex Optimization for Differentiable Functions.- §9. Convex Optimization with Affine Linear Constraints.- §10. The Numerical Treatment of Convex Optimization Problems.- III. Quadratic Optimization.- §11. Introduction.- §12. The Kuhn-Tucker Theorem and Applications..- §13. Duality for Quadratic Optimization.- §14. The Numerical Treatment of Quadratic Optimization Problems.- IV. Tchebychev Approximation and Optimization.- § 15. Introduction.- §16. Discrete Linear Tchebychev Approximation.- §17. Further Types of Approximation Problems.- V. Elements of Game Theory.- §18. Matrix Games (Two Person Zero Sum Games).- §19. n-Person Games.- Problems.