Book "Poisson structures and Lie algebras in Hamiltonian mechanics" by Borisov A. In. and Mamaeva I. C. It is a deep dive into the world of theoretical physics and mathematics, revealing to the reader the complex but exciting concepts that underlie Hamiltonian mechanics. This publication will be a real discovery for students studying physics and mathematics, and for professionals seeking to deepen their knowledge in the theoretical foundations of mechanics. The book examines key aspects of Poisson structures and Lie algebras, which play an important role in the formulation of the laws of motion in Hamiltonian mechanics. The authors, with extensive experience in mathematical physics, offer the reader not only theoretical foundations, but also practical examples that help to better understand complex concepts. They masterfully combine abstract mathematical ideas with physical principles, which makes the material accessible and fascinating. Who can like this edition? First of all, it will be interesting for students and graduate students studying physics, mathematics and related disciplines . The book will also attract the attention of teachers and researchers working in the field of theoretical physics, as well as anyone interested in modern approaches to mechanics and mathematical modeling. If you are interested in questions related to the dynamics of systems, symmetry and structure of physical theories, then this edition will be a real find for you. The topics raised in the book cover a wide range of issues, ranging from the basics of Hamiltonian mechanics to modern research in mathematical physics. The authors emphasize the importance of Poisson structures for understanding dynamical systems and their properties, as well as the role of Lie algebras in the formulation of conservation laws and symmetries. This makes the book not only a textbook, but also a valuable source of knowledge for those who want to be aware of the latest advances in theoretical physics. The style of the authors is distinguished by clarity and logical presentation, which allows the reader to easily assimilate even the most complex concepts. Borisov A . In. and Mamaev I. C. They are known for their work in mathematical physics, and their previous publications, such as Hamiltonian Mechanics and Symmetry and Mathematical Methods in Physics, have already won recognition among specialists. In this book, they continue to develop their ideas, offering a fresh perspective on classic problems. "Poisson structures and Lie algebras in Hamiltonian mechanics" is not just a textbook, but a real encyclopedia of knowledge that will help the reader to better understand the mechanisms that govern physical systems. This book will be a reliable companion on your scientific journey, opening new horizons and inspiring further research. If you are looking for literature that combines theoretical foundations and practical application, then this edition will be an excellent choice. It will not only expand your knowledge, but also help you better understand how mathematical structures affect physical laws, which is certainly a key aspect in the study of the modern world.