Book "Poisson structures and Lie algebras in Hamiltonian mechanics" by Borisov A. In. and Mamaeva I. C. It is a unique and in-depth study that combines elements of theoretical physics and mathematics. This work will be a real find for students, graduate students and researchers interested in modern aspects of mechanics, as well as for anyone who seeks to understand the complex concepts underlying motion physics. The book focuses on the Poisson structures and Lie algebras that play a key role in Hamiltonian mechanics. The authors masterfully explain how these mathematical constructs can be applied to the analysis of dynamical systems, allowing the reader to see how abstract mathematical ideas find their practical application in physics. The book opens up a world where mathematics and physics are intertwined, creating a powerful tool for solving complex problems. Who is this book intended for? First of all, it will be of interest to students and graduate students of physical and mathematical specialties, as well as teachers and researchers working in the field of theoretical physics . If you are passionate about studying mechanics, mathematical methods in physics or just want to deepen your knowledge in these areas, then this publication will become an indispensable assistant for you. The book can also attract the attention of professionals working in related fields, such as robotics, astrophysics, and continuum mechanics. The topics raised in the book cover a wide range of issues, ranging from the basics of Hamiltonian mechanics to modern approaches to its study. The authors not only explain the theoretical aspects, but also give many examples illustrating the use of Poisson structures in real physical problems. This makes the material accessible and understandable, even for those who are just beginning their journey in the study of mechanics. The style of the authors is clear and logical, which makes it easy to follow their thoughts and ideas. Borisov A . In. and Mamaev I. C. are known for their scientific works and textbooks, which have already gained recognition in the scientific community Their previous editions, such as Hamiltonian Mechanics and Dynamical Systems Theory, are also noteworthy and can serve as an excellent addition to Lee's Poisson Structures and Algebras. The book is not only saturated with theoretical calculations, but also offers the reader the opportunity to reflect on the concepts presented . The authors encourage active participation in the process of cognition, offering tasks and examples for independent decision. This makes reading not only informative, but also fascinating. Thus, "Poisson structures and Lie algebras in Hamiltonian mechanics" is not just a textbook, but a real encyclopedia of knowledge for everyone who seeks to understand the complex mechanisms that govern movement in our world. If you want to deepen your knowledge in mechanics and mathematics, this book will become your reliable companion in the world of science. Do not miss the opportunity to discover new horizons in the knowledge of physics and mathematics with the help of this wonderful work.