The book "Modern methods of the theory of integrable systems" by Borisov A. In. and Mamaeva I. C. It is a fascinating and in-depth study that immerses the reader in the world of mathematical physics and the theory of dynamical systems. This publication will be a real discovery for students, graduate students and researchers interested in both theoretical aspects and practical applications of integrable systems. From the first pages, the authors set a tone that combines the rigor of the scientific approach and the accessibility of the presentation. The book covers a wide range of topics, ranging from the basics of integrable systems to modern methods of their analysis. The reader will be able to learn about different approaches to integration, including both classical and modern methods, which makes this publication relevant for both beginners and experienced specialists in mathematics and physics. One of the key topics raised in the book is the relationship between integrable systems and other areas of science, such as mechanics, quantum physics, and chaos theory. The authors masterfully demonstrate how integrable systems can be used to solve complex problems, making them indispensable tools in scientific research. This publication not only expands the horizons of knowledge, but also inspires new discoveries, which is especially important for researchers and students seeking innovation in their field. The book will be interesting not only to specialists, but also to those who are simply interested in mathematics and physics. Students studying these disciplines will find valuable information in it that will help deepen their understanding of integrable systems. It can also attract the attention of teachers who want to use modern methods in their courses. The unique style of the authors, combining scientific rigor and accessibility, makes the material easy to understand, which is especially important for readers who do not have deep knowledge in this area. Borisov A . In. and Mamaev I. C. — well-known scientists whose work has already established itself in the scientific community . Their previous publications also dealt with topics related to dynamical systems and mathematical physics, which confirms their expertise and deep understanding of the subject. Readers familiar with their previous work will be happy to see the authors develop their ideas and present new concepts in this book. The book "Modern methods of the theory of integrable systems" not only enriches the reader's knowledge, but also offers new perspectives for research. It raises important questions about the nature of integrable systems and their role in contemporary scientific discourse. This publication will be an indispensable assistant for all who seek to understand the complex mechanisms underlying dynamic processes, and will open new horizons for scientific research. If you are looking for literature at the intersection of mathematics and physics that will help you deepen your knowledge and inspire new ideas, then “Modern methods of the theory of integrable systems” should definitely take place on your shelf. It’s not just a bookit’s the key to understanding the complex phenomena that shape our world.