McLewin W. Linear Programming and Applications. A Course Text 1980

Textbook in PDF format

Preface
Notation and Abbreviations
A Sort of Introduction
Conversion to Specified Form; Basic, Feasible and Optimum Solutions
The Simplex Method
The Simplex Method Continued
Duality: The Duality Theorem and Consequences
Duality Continued: A Matrix View of the Duality Theorem; Theorems of Alternatives
The Revised Simplex Method
Parametric Linear Programming and Sensitivity Analysis
The Shor-Khachian Ellipsoid Method
Transportation and Similar Problems
Network Flows
Assignment Problems: The Marriage Problem
Game Theory: Two-Person Matrix Games
Further Applications: Quadratic Programming; Functional
Approximation; Matrix Eigenvalue Perturbation Analysis