Symplectic Geometry

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"Symplectic geometry" is an outstanding work written by famous mathematicians Vladimir Igorevich Arnold and Alexander Borisovich Givental .. This book immerses the reader in the fascinating world of symplectic geometry, one of the most exciting and relevant areas of modern mathematics. If you are interested in mathematics, physics, and also want to understand how symplectic structures affect various aspects of science, then this work will be a real find for you. Symplectic geometry is not just a set of theorems and formulas, it is a whole philosophy that connects mathematics with physics, as well as with other disciplines such as mechanics and dynamical systems theory. In the book, the authors explore the symplectic structures, their properties and applications, as well as consider their relationship with classical mechanics and quantum physics. This makes “Symplectic Geometry” not only a textbook, but also a real guide to a world where mathematics and physics merge into one. The book will be of interest not only to professional mathematicians, but also to senior students, graduate students and everyone who is passionate about studying mathematics and its applications. If you study topics such as differential equations, topology or mechanics, then this work will become an indispensable source of knowledge for you. It will also be useful for those who want to deepen their knowledge in the field of geometry and dynamical systems. One of the key topics raised in the book is the relationship between symplectic geometry and physics. The authors show how symplectic structures can be used to describe physical systems, making them indispensable in theoretical mechanics. This connection between mathematics and physics is one of the reasons why the book deserves attention. It not only explains the theoretical aspects, but also demonstrates how these ideas are applied in real physical systems. The style of the authors is clear and accessible, which allows the reader to easily assimilate complex concepts. Arnold and Givental use many examples and illustrations, which makes the material more clear and understandable. Their approach to the presentation of the material inspires further study and research in the field of symplectic geometry .. Vladimir Igorevich Arnold is not only the author of "Symplectic Geometry", but also a well-known mathematician who has made significant contributions to various fields of mathematics, including catastrophe theory, differential equations and mechanics. His other well-known works, such as Geometry and Dynamics and Mathematical Physics, are also noteworthy and can complement your knowledge of mathematics and physics. If you are looking for books that are similar in genre, pay attention to Arnold's "Geometry and Dynamics" or "Symplectic Geometry and Its Applications" by other authors. These works will help you to better understand symplectic geometry and its application in various fields of science. In conclusion, Arnold and Givental’s “Symplectic Geometry” is not just a book, but a whole world worth diving into. It opens the door to the exciting world of mathematics, where symplectic structures become the key to understanding complex physical phenomena. If you want to expand your horizons and deepen your knowledge, this book will become your reliable companion in the world of symplectic geometry.
LF/420990105/R
Data sheet
- Name of the Author
- Арнольд В.И.
Гивенталь А.Б. - Language
- Russian
- Release date
- 2000