The book "The basic concepts of the theory of difference schemes and numerical methods for solving ordinary differential equations" is a fascinating and in-depth study. Created by a team of authors, which will be an indispensable assistant for students , Post-graduate students and specialists in mathematics , Physics and Engineering . It contains knowledge that will help readers not only to understand the basics of difference schemes, but also to apply numerical methods to solve complex problems associated with ordinary differential equations. On the pages of this book you will find a detailed explanation of the key concepts of the theory of difference schemes, which are the basis for numerical analysis. The authors consider different approaches to the solution of differential equations, focusing on the practical application of the knowledge gained. The reader will be able to learn about how difference schemes allow to approximately solve equations, which in analytical form can be insoluble. This makes the book especially valuable for those who face real challenges in their professional activities. The book will be of interest to both undergraduate and graduate students who study mathematics in depth and its applications. Engineers and researchers working in the field of numerical methods will also find here a lot of useful information. It is suitable for those who want to expand their knowledge of numerical methods and apply them in various fields, such as physics, mechanics, economics and other sciences. The topics raised in the book cover a wide range of issues, ranging from the basics of difference schemes to more complex methods of solving. The authors not only explain the theoretical aspects, but also offer practical examples, which allows the reader to better assimilate the material. The book also includes a discussion of errors that can occur when using numerical methods, and ways to minimize them. This makes it especially useful for those who want to avoid common pitfalls in the task solving process. The writing style of the authors is clear and accessible, which allows even those who do not have deep knowledge in the field of mathematics to understand complex concepts. The authors use many illustrations and examples, which makes the learning process more exciting and less stressful. This book will be an excellent addition to tutorials and handbooks on numerical methods and differential equations. If you are looking for literature that will help you master numerical methods and difference schemes, pay attention to such works as "Numbered methods for differential equations" and "