CONTENTS: 1. INTRODUCTION -- 2. THE SIMPLEX ALGORITHM -- 3. GEOMETRY -- 4. THE DUALITY THEOREM -- 5. MATRIX ENVIRONMENT -- 6. GENERAL FORM -- 7. UNSOLVABLE SYSTEMS -- 8. GEOMETRY REVISITED -- 9. GAME THEORY -- NETWORK ENVIRONMENT -- 11. COMBINATORICS -- 12. ECONOMICS -- 13. INTEGER OPTIMIZATION -- A. LINEAR ALGEBRA REVIEW -- B. EQUIVALENCE OF AUXILIARY AND SHORTCUT METHODS -- C. COMPLEXITY -- D. SOFTWARE.