Geometry of complex numbers, quaternions and spins

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The book “Geometry of Complex Numbers, Quaternions and Spins” by Vladimir Igorevich Arnold is a fascinating journey into the world of mathematical geometry, where complex concepts become accessible and understandable. Arnold, known for his in-depth knowledge of mathematics and physics, offers readers a unique look at the geometric structures that underlie many mathematical and physical theories. In this book, the author explores concepts such as complex numbers, quaternions, and spins, and shows how they relate to each other and to the real world. Arnold does not just expound theory, he immerses the reader in the exciting world of mathematical objects, revealing their beauty and harmony. Each chapter is not just a set of formulas and theorems, but a lively discussion that makes you think about the deep connections between different fields of science. The book will be of interest to both students and graduate students studying mathematics, physics or related disciplines, and those who are simply interested in science and want to expand their knowledge. If you like to solve puzzles and look for logical connections, the “Geometry of complex numbers, quaternions and spins” will be a real find for you. It is suitable for both beginners and more experienced readers who want to deepen their knowledge in the field of mathematical geometry. The topics raised in the book cover a wide range of issues, ranging from the basics of complex numbers to more complex concepts such as quaternions and spinors. Arnold masterfully explains how these mathematical constructs can be applied in physics, for example, in quantum mechanics and relativity theory. He emphasizes how geometry and algebra intertwine, creating powerful tools for solving complex problems. Arnold's style is distinguished by clarity and accessibility, which makes his work especially attractive to a wide range of readers. The author uses many examples and illustrations, which helps to better understand complex ideas. His approach to learning is based on the fact that mathematics is not just a set of rules, but a living art that requires feeling and intuition. In addition to this book, Arnold is known for his other works, such as Ordinary Differential Equations and Geometry and Topology. Each of his works is distinguished by deep analysis and an original approach to the presentation of the material, which makes him one of the most respected mathematicians of our time. If you are looking for a book that will not only expand your knowledge, but also inspire further research in mathematics and physics, “The Geometry of Complex Numbers, Quaternions and Spins” will be an excellent choice. It will help you see the world from a new perspective, opening up horizons that you may not have even suspected. Do not miss the opportunity to touch the mathematical beauty that Arnold offers, and immerse yourself in an exciting journey through the world of geometry and algebra.
LF/183236415/R
Data sheet
- Name of the Author
- Арнольд В.И.
- Language
- Russian
- ISBN
- 9785940570257
- Release date
- 2002