Book "Poisson Structures and Algebras in Hamiltonian Mechanics" by Borisov A. In. and Mamaeva I. C. It is a fascinating and in-depth study that immerses the reader in the world of theoretical physics and mathematics, revealing the complex concepts of Hamiltonian mechanics through the prism of Poisson structures and Lie algebras. This work will be a real discovery for students, graduate students, as well as anyone interested in modern approaches in mechanics and mathematical physics. The main theme of the book is focused on the study of Poisson structures, which play a key role in the formulation of Hamiltonian mechanics. The authors, having rich experience in theoretical physics, offer readers not only theoretical foundations, but also practical applications of these structures in various problems of mechanics. They examine in detail how Lie algebras can be used to describe the symmetries of physical systems, making the material particularly relevant to those seeking a deep understanding of dynamics and symmetry in physics. The book will be of interest not only to students and graduate students of physical and mathematical specialties, but also to teachers, researchers, as well as everyone who is fond of theoretical physics. It is suitable for those who already have basic knowledge in the field of mechanics and mathematics, and want to deepen their knowledge, as well as for those who are looking for new approaches to solving classical problems. Readers interested in topics such as symmetry, dynamical systems, and mathematical physics will find many useful ideas and concepts in this book. Authors Borisov and Mamaev are known for their work in the field of mechanics and mathematical physics. Their writing style is clear and logical, which allows the reader to easily absorb complex ideas. The book uses a variety of examples and illustrations that help to visualize the concepts discussed, making the material more accessible and understandable. This is especially important for readers who may encounter abstract mathematical concepts as authors seek to make them more tangible and applicable. The topics raised in the book cover a wide range of issues, including the interaction between mathematical structures and physical laws. The authors highlight the importance of Poisson structures in the context of current research, showing how they can be used to analyze complex dynamical systems. This makes the book relevant not only for theorists, but also for practitioners working in the field of applied physics and engineering. Poisson Structures and Algebras in Hamiltonian Mechanics is not just a textbook, but a real encyclopedia of knowledge for those who want to understand how mathematics and physics intertwine in describing the world around us. Readers who are looking for deep and meaningful work on theoretical physics will definitely appreciate this work, which opens new horizons in understanding Hamiltonian mechanics. If you are looking for books on topics related to dynamic systems, mathematical physics or mechanics, then this work will be an important step for you on the way to new knowledge. Do not miss the opportunity to immerse yourself in the world of Poisson structures and Lie algebras, which can change your idea of mechanics and mathematics.