Theory of Linear and Integer Programming

Review of the book
There are many books on linear programming and integer programming. Many books have an algorithmic approach, but in this book, an attempt has been made to address the problem of linear and integer programming from a theoretical point of view, which can be used by many researchers.

Table of Contents
The things that are examined in this book are as follows:
1- Introduction to mathematical programming
2-Complexity, solutions and issues
3- Linear algebra and its complexity
4- Notes on linear algebra
5- Solutions for linear diophantine equations
6-Diophantine approximation
7- Principles and basics of linear inequalities and linear programming
8- multi-space structure
9- Polarity and multi-plane blocking
10- Complexity theory for linear programming and linear inequalities
11- Simplex method
12-Relaxation method, primary-dual method
13-Khachiyan method for linear programming
14- Elliptical method for multimodal optimization
15- An introduction to integer linear programming
16- Estimation in integer linear programming
17-Integer linear programming complexity
18-Completely unimodular matrices: principles and examples
19- Identification of single-module matrices
20- cutting plane method