The book “Symplectic Geometry” by Vladimir Igorevich Arnold and Alexander Borisovich Givental is an outstanding work that immerses the reader in the world of mathematical concepts, exploring simplectic geometry as the most important area of modern mathematics. This book will be a real find for students, graduate students and professional mathematicians, as well as for anyone interested in physics, mechanics and theoretical computer science. Symplectic geometry is not just a set of theoretical knowledge, but a whole philosophy that opens new horizons in understanding the nature of space and time. The authors, known for their in-depth research in mathematics and physics, offer the reader a unique perspective on symplectic structures, their properties and applications. The book examines both classical and modern aspects of symplectic geometry, making it relevant for both beginners and experienced researchers. The book begins with the basics, introducing the reader to the world of symplectic forms and their role in mathematics. The authors emphasize how symplectic geometry intersects with other fields, such as differential geometry and topology, thus creating a multi-layered knowledge structure. This makes the book especially valuable for those who want to deepen their knowledge and understand how different mathematical concepts are interconnected. One of the key topics raised in the book is the relationship between symplectic geometry and mechanics. The authors show how symplectic structures help describe dynamical systems, which is important in physics. The reader will be able to see how abstract mathematical ideas find practical application in the real world, which makes the study of symplectic geometry not only fascinating, but also useful. The book "Symplectic Geometry" also touches on topics related to quantum mechanics and field theory, which makes it relevant for specialists working at the intersection of mathematics and physics. The authors offer the reader not only theoretical calculations, but also practical examples that help to better understand complex concepts. The writing style of Arnold and Givental is clear and accessible, which allows the reader to easily absorb even the most complex ideas. Their approach to explaining the material makes the book interesting and fascinating, which is especially important for those who are just starting to get acquainted with symplectic geometry. The authors use many illustrations and examples, which helps to visualize abstract concepts and makes the learning process more interactive. This book will be an excellent addition to the library of any mathematician or physicist. It can be useful for both students and teachers, as it contains many ideas and concepts that can be used in the educational process. In addition, “Symplectic geometry” will be of interest to anyone who seeks to expand their horizons and deepen their knowledge in the field of mathematics. If you are looking for literature that will help you understand complex mathematical concepts, and also give you the opportunity to see how these ideas are applied in real life, then “Symplectic geometry” is exactly what you need. This book will not only enrich your knowledge, but also inspire new research and discoveries in the fascinating world of mathematics.