Linear Programming

Review of the book
In the writing of this book, it is assumed that the reader is familiar with the topics of linear algebra. The background required for this book is provided in the second chapter, by studying them, the reader can advance the other topics of this book, but it is recommended to have an overview of linear algebra before this book. This book contains enough material for two semesters of linear programming. At the end of each chapter there are a large number of exercises that include numerical and theoretical exercises.

Table of Contents
The topics discussed in this book are as follows:
1- An introduction to linear programming
2- Math background
3- The theory of the simplex method
4- The computational complexity of the simplex method
5- More discussions about the simplex method
6- The solution to the problem of degerency
7- Modified Simplex method
8- Theory of duality
9- Transportation problem
10- Network flow
11- Special titles
12- Applications of linear programming in industry
13- Applications of linear programming in economics