"Symplexical geometry" is an outstanding work written by famous mathematicians Vladimir Igorevich Arnold and Anatoly Borisovich Givental .. This book is not only a textbook, but also a real guide to the world of symplectic geometry, a field of mathematics that finds application in a wide variety of scientific disciplines, from physics to computer science. Symplectic geometry is a branch of mathematics that studies the structures that allow us to describe dynamical systems. In the book, the authors examine in detail the basic concepts and methods that underlie this discipline. Readers will be able to learn about symplectic varieties, their properties and applications in mechanics and relativity theory. The book covers both theoretical aspects and practical examples, making it useful for both students and experienced researchers. This work will be interesting not only for professional mathematicians, but also for senior students, graduate students and everyone who is passionate about mathematics and physics. If you study such disciplines as differential geometry, mechanics or theoretical physics, then “Symplexical geometry” will become an indispensable source of knowledge for you. The book can also attract the attention of those who are interested in modern scientific research and seek to deepen their knowledge in the field of mathematics. One of the main topics raised in the book is the connection of symplectic geometry with mechanics. The authors show how symplectic structures can be used to describe physical systems, allowing a deeper understanding of the laws of motion and interaction. This connection makes the book particularly valuable for physicists working in the field of classical and quantum mechanics. Arnold and Givental's style is clear and accessible, making it easy for readers to grasp complex concepts. They use many examples and illustrations to illustrate their ideas and make the material more understandable. This makes Simplex Geometry not only a textbook, but also a fascinating reading for anyone interested in mathematics. In addition, it is worth noting that Vladimir Igorevich Arnold is the author of many other well-known works, such as “Geometry and Dynamics”, “Ordinary Differential Equations” and “Mathematical Physics” .. His work has always been distinguished by a deep understanding of the subject and a desire to convey complex ideas to a wide audience. Anatoly Borisovich Givental is also a well-known mathematician, whose research in the field of symplectic geometry and the theory of dynamical systems has been recognized in the scientific community. Thus, “Symplexical geometry” is not just a book, but a whole world that opens up new horizons of mathematical thinking to the reader. It is able to inspire further research and deepening of knowledge in the field of symplectic geometry and its applications. If you are looking for a quality and meaningful reading that will help you understand complex concepts and expand your horizons, then this book will be an excellent choice. Do not miss the opportunity to immerse yourself in the fascinating world of symplectic geometry with Arnold and Givental!