Book "Poisson structures and Lie algebras in Hamiltonian mechanics" by Borisov A. In. and Mamaeva I. C. It is a deep and fascinating study that immerses the reader in the world of theoretical physics and mathematical mechanics. This work will be a real discovery for students, graduate students and researchers interested in modern approaches to the analysis of dynamic systems. The book focuses on the Poisson structures that play a key role in Hamiltonian mechanics. The authors masterfully explain how these structures help in describing physical systems, as well as how they relate to Lie algebras. The reader will be able to understand how these mathematical tools are used to analyze and solve complex problems in mechanics, which makes the book not only theoretically significant, but also practically useful. One of the features of the book is its accessibility to a wide audience .. Despite the complexity of the subject, Borisov and Mamaev use a clear and concise language, which allows even those who are just starting their way in the study of mechanics to follow the course of the authors' thoughts. The book will be of interest not only to physicists and mathematicians, but also to everyone who is fond of the exact sciences and seeks a deeper understanding of the laws governing the movement of bodies. The topics raised in the book cover a wide range of issues, ranging from the basics of Hamiltonian mechanics to modern applications of Poisson structures in various fields of science. The authors consider both classical and modern approaches, which allows the reader to see the evolution of ideas and methods in this area. The book also touches on symmetry and invariance, making it particularly relevant in light of current research in theoretical physics. The style of the authors is clear and logical, which makes reading not only informative, but also fascinating. Borisov A . In. and Mamaev I. C. — well-known scientists in the field of mechanics, and their previous work is also worthy of attention. For example, their research on the dynamics and theory of controlled systems has gained recognition in the scientific community, and in this book they continue to develop their ideas, offering readers a fresh perspective on classical problems. This book will be an excellent addition to the library of any researcher working in the field of physics and mathematics. It not only deepens the understanding of Hamiltonian mechanics, but also opens new horizons for further research. If you’re looking for literature that combines theoretical depth and practical significance, “Poisson Structures and Lie Algebras in Hamiltonian Mechanics” is exactly what you need. Readers interested in topics such as dynamics, mathematical physics, theoretical mechanics and algebra will find in this book many useful ideas and tools for their work. The book will also be useful for those who want to deepen their knowledge in the field of mathematical methods used in physics. Do not miss the opportunity to immerse yourself in the world of Poisson structures and Lie algebras, which open new horizons in the understanding of Hamiltonian mechanics. This book is your guide to the complex but fascinating world of theoretical physics, which will certainly leave its mark on your scientific path.