The book Numerical Methods for Ordinary Differential Equations by Vladimir Mikhailovich Volkov is an indispensable work for anyone who seeks to understand more deeply the world of numerical methods and their application in solving ordinary differential equations. This book will be a real guide to the complex but fascinating world of mathematical modeling, where theory meets practice, and abstract formulas turn into real solutions. Volkov, known for his deep knowledge in the field of numerical methods and mathematical analysis, offers readers not just a set of formulas and algorithms, but also a holistic understanding of how and why certain methods work. The book covers a wide range of topics, ranging from the basics of ODU theory to modern numerical methods, such as the Runge-Kutta method, the Euler method and their modifications. The reader will be able not only to get acquainted with the algorithms, but also to understand their mathematical basis, which makes the book especially valuable for students, graduate students and specialists in the field of applied mathematics, physics and engineering. Who can like this book? First of all, it will be of interest to students of technical specialties studying mathematics and physics, as well as graduate students working on dissertations in the field of mathematical modeling . In addition, the book will be useful to practicing engineers and researchers who need to apply numerical methods in their work. If you are interested in mathematics, programming or physics and want to learn how to solve complex problems using numerical methods, then this publication will be a real find for you. The topics raised in the book go beyond the simple study of numerical methods. Volkov focuses on the importance of accuracy and stability of numerical solutions, which is especially important in the context of modern computing technologies. It also discusses problems related to numerical integration and differentiation, which allows the reader to understand how to avoid common mistakes and improve the quality of their calculations. This book not only teaches, but also inspires new research and experiments in the field of numerical methods. The style of Vladimir Mikhailovich Volkov is distinguished by clarity and accessibility, which makes complex mathematical concepts understandable even for those who are just starting their way in this area. His previous works, such as "Methods of numerical analysis" and "