**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

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