I Introduction to Linear Programming.- II Dual Linear Programs.- III Elements of the Theory of Linear Systems.- IV Bases and Basic Solutions of Linear Programs.- V The Simplex Algorithm.- VI The Two Phases of the Simplex Method: Theoretical Results Proved by Application of The Simplex Method.- VII Computational Aspects of the Simplex Method: Revised Simplex Algorithm; Bounded Variables.- VIII Geometric Interpretation of the Simplex Method.- IX Complements on Duality: Economic Interpretation of Dual Variables.- X The Dual Simplex Algorithm: Parametric Linear Programming.- XI The Transportation Problem.- References.- Aide Memoire and Index of Algorithms.