The book "Division of movements by the method of integral manifolds" by the authors of Strygin B. A. and Sobolev V. In. is a unique study in the field of dynamical systems theory and mathematical physics. This publication will be of particular interest to those who seek a deeper understanding of the mechanisms that drive the movement of bodies in various physical systems, and to those who are looking for new approaches to solving complex problems in this area. The authors, with considerable experience and deep knowledge in their field, offer the reader to plunge into the world of integral diversity a concept that opens new horizons in understanding dynamics. The book begins with the basics, which makes it accessible to undergraduate and graduate students studying mathematics, physics, or engineering disciplines. However, do not think that this is only a training manual .. Strygina and Sobolev raise questions that will be of interest to experienced researchers working in the field of theoretical physics and applied mathematics. One of the book's key themes is motion separation, a method that makes it easier to analyze complex dynamical systems by breaking them down into simpler components. This is especially true for systems with multiple degrees of freedom, where traditional methods may not be effective. The authors offer the reader not only theoretical justifications, but also practical examples, which makes the material more clear and understandable. They illustrate their ideas with different models, which allows them to better understand complex concepts. The book also touches on important topics such as the stability of movements, symmetry in dynamical systems, and their impact on the behavior of the system as a whole. These aspects are key to fields such as astrophysics, mechanics, and even biology, where the dynamics of systems play an important role. The reader will be able to see how the methods described in the book are applied to real problems, which makes the theory more lively and relevant. The style of the authors is distinguished by the clarity and logic of the presentation . They skillfully balance between complex mathematical concepts and accessible language, which allows the reader not only to understand the material, but also to be interested in it. This makes the book suitable for both students and professionals who want to update their knowledge or explore new approaches in their work. If you are looking for literature that will help you understand modern methods of analyzing dynamical systems, then “Division of movements by the method of integral manifolds” will be an excellent choice. This book will not only expand your knowledge, but also inspire new research and discoveries. It can become a reference book for students, graduate students, teachers and researchers working in the fields of mathematics, physics and engineering .. In conclusion, it is worth noting that the work of Strygin and Sobolev is not just a textbook, but a real find for everyone who is interested in dynamic systems. Their approach to the separation of movements and integral diversity opens up new perspectives and opportunities for research, which makes this book worthy of the attention of anyone who seeks a deep understanding of physics and mathematics.