Vlasov’s book Small Fluctuations of a System with Two Degrees of Freedom is a deep and fascinating study that immerses the reader in the world of mechanics and system dynamics. This work will be a real find for students, graduate students and specialists in the field of mechanics, engineering and physics, seeking to understand the complex aspects of oscillatory processes. Vlasov, known for his scientific works and contributions to the theory of oscillations, offers readers a unique view of small oscillations of systems with two degrees of freedom. The book begins with the basics, gradually deepening into complex concepts, which makes it accessible to both beginners and experienced researchers. The author masterfully combines theoretical aspects with practical examples, which allows the reader not only to assimilate the material, but also to see its application in real-world problems. One of the key topics of the book is the analysis of the stability of systems. Vlasov considers how small fluctuations can affect the overall dynamics of a system, and how these fluctuations can be used to predict the behavior of various mechanical structures. This is especially true for engineers working in the field of design and analysis of machines and structures .. Readers will be able to learn about different methods of analysis, such as the method of their own frequencies and their own forms of oscillations, which will allow them to better understand the dynamics of systems. The book will be interesting not only to specialists, but also to those who are simply fond of physics and mathematics. Students of technical specialties will find in it useful materials for preparing for exams and writing term papers . It can also attract the attention of teachers looking for quality sources for their lectures. Vlasov uses a clear and concise style of presentation, which makes it easy to assimilate even the most complex concepts. The topics raised in the book go beyond purely mechanical aspects. Vlasov touches on issues related to the application of oscillation theory in various fields of science and technology, from architecture to robotics. This makes the book relevant and useful for a wide range of readers interested in modern technologies and their development. Vlasov's style is characterized by rigor and accuracy, which is typical for scientific works, but the author does not forget about the importance of examples and illustrations that make the material more visual. Readers familiar with his other works, such as "The Theory of Elastic Oscillations" or "Dynamics of Mechanical Systems", will appreciate the consistency and depth of the presentation, which became the hallmark of the author. If you are looking for a book that will help you understand complex mechanical systems, understand the principles of their work and learn to analyze fluctuations, Vlasov’s “Small Fluctuations of a System with Two Degrees of Freedom” is exactly what you need. It will be a valuable addition to your library and will open new horizons in understanding dynamics and mechanics. Do not miss the opportunity to immerse yourself in the world of science and technology with this outstanding work!