One: Convex Sets. - 1. Convex hulls polytopes and vertices. - 2. Basic solutions of equations. - 3. Theorem of the separating hyperplane. - 4. Alternative solutions of linear inequalities 10 Exercises. - Two: The Theory of Linear Programming. - 1. Examples and classes of linear programmes. - 2. Fundamental duality theorem. - 3. Equilibrium theorems. - 4. Basic optimal vectors. - 5. Graphical method of solution. - Exercises. - Three: The Transportation Problem. - 1. Formulation of problem and dual. - 2. Theorems concerning optimal solutions. - 3. Method of solution with modifications for degeneracy. - 4. Other problems of transportation type. - Exercises. - Four: The Simplex Method. - 1. Preliminary discussion and rules. - 2. Theory of the simplex method. - 3. Further techniques and extensions. - Exercises. - Five: Game Theory. - 1. Two-person zero-sum games. - 2. Solution of games: saddle points. - 3. Solution of games: mixed strategies. - 4. Dominated and essential strategies. - 5. Minimax theorem. - 6. Solution of matrix games by simplex method. - Exercises. - Suggestions for Further Reading. - Solutions to Exercises. Language: English