The book "Basic methods of numerical analysis of dynamic systems" from Yaroslavl State University is a unique publication that will become an indispensable assistant for students, graduate students and anyone interested in mathematical modeling and analysis of dynamic systems. This work is a deep dive into the world of numerical methods that are used to solve complex problems associated with dynamic processes in various fields of science and technology. The book discusses the main numerical methods used for the analysis of dynamical systems, including both classical approaches and modern algorithms. The reader will be able to learn about such methods as the finite difference method, the Runge-Kutta method and many others that allow effectively solving problems arising in mechanics, physics, economics and other disciplines. The author focuses on the practical application of these methods, which makes the material accessible and understandable even for those who are just starting their way in this complex but fascinating area. This book will be especially interesting for students of technical specialties, as well as specialists working in the field of applied mathematics and engineering. If you are passionate about mathematics, physics or computer science, the "Basic methods of numerical analysis of dynamical systems" will be a real find for you. It will help you not only to master the theoretical foundations, but also to learn how to apply the knowledge gained in practice, which is an important aspect in modern education. The topics raised in the book cover a wide range of issues related to the modeling and analysis of dynamic processes. The reader will learn the basics of sustainability theory, methods of numerical integration and many other aspects that are key to understanding the dynamics of systems. The book also touches on issues related to optimization and management, making it relevant for professionals working in the field of automation and robotics. The style of presentation of the material in the book is clear and logical. The author seeks to make complex concepts understandable, which is especially important for readers who do not have deep knowledge in the field of mathematics. There are many examples and tasks in the book, which allows the reader not only to assimilate the theory, but also to consolidate knowledge in practice. This approach makes the publication not only a textbook, but also a valuable reference for practitioners. Yaroslavl State University is known for its high standards in the field of education and science, and this publication is another confirmation of this. The book "Basic methods of numerical analysis of dynamic systems" will be an excellent addition to the library of everyone who seeks to expand their knowledge in the field of numerical methods and dynamic systems. If you are looking for a quality numerical analysis tutorial that combines theory and practice, this book will become your faithful companion. Do not miss the opportunity to immerse yourself in the world of numerical analysis and discover new horizons in the study of dynamical systems.