The book "Approximate methods of solving ordinary differential equations" by Mamedov I . is a fascinating and deep dive into the world of mathematical analysis that will be of interest to both students and professional mathematicians. This work is not only a tutorial, but also a real guide to a complex but exciting topic that covers a wide range of methods and approaches to solving ordinary differential equations (ODI). The book focuses on approximate methods that play a key role in solving differential equations, especially when analytical solutions are impossible or too complex for practical application. Mammadov I . Masterfully explains how various numerical and approximate methods can be used to find ODE solutions, focusing on their practical application in real-world problems. The reader will be able to learn about the methods of Euler, Runge-Kutta and others, which allow to obtain solutions with a given accuracy, which is especially important in engineering and scientific calculations. The book will be of particular interest to senior students of mathematical, engineering and physical specialties, as well as graduate students and researchers working in the field of applied mathematics .. It will become an indispensable tool for those who want to deepen their knowledge in the field of differential equations and learn how to apply mathematical methods to solve practical problems. It will also be useful for teachers who want to enrich their courses with new approaches and methods. The topics raised in the book cover not only mathematical aspects, but also philosophical issues related to approximation and accuracy. Mammadov I . Stresses the importance of understanding the limits of applicability of different methods and the need for critical thinking when choosing an approach to solving a specific problem. This book is not just a set of formulas and algorithms, but a real school of thought, where the reader learns to analyze, compare and choose the most appropriate methods for solving complex problems. The author's style is distinguished by clarity and accessibility of presentation, which makes complex mathematical concepts understandable even for those who are just starting their way in the study of differential equations. Mammadov I . uses many examples and tasks, which allows the reader not only to learn the theory, but also to see how it is applied in practice His previous works, such as Methods of Mathematical Modeling and Numerical Methods in Applied Mathematics, have also been recognized for their accessibility and practical focus. The book "Approximate Methods for Solving Ordinary Differential Equations" will be an excellent addition to the library of everyone who is interested in mathematics and its applications. It opens the door to the world of numerical methods and approximate solutions, allowing readers not only to master the necessary skills, but also to develop analytical thinking, which is an important aspect in any scientific activity. If you are looking for a high-quality and informative guide to OAO, this book definitely deserves your attention.