Geometry of complex numbers, quaternions and spins

Geometry of complex numbers, quaternions and spins

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LF/902985377/R
Russian
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The book “Geometry of Complex Numbers, Quaternions and Spins” by Vladimir Igorevich Arnold is a fascinating and deep immersion in the world of mathematics, which can attract both students and professionals interested in geometry and algebra. Arnold, known for his outstanding work in mathematics, offers readers a unique look at complex concepts, making them accessible and understandable. In this book, the author explores the relationship between different algebraic structures and geometric objects. He begins with complex numbers, which have long been the basis for many mathematical theories, and gradually moves on to more complex concepts such as quaternions and spins. Each section of the book is filled not only with theoretical calculations, but also with practical examples that help the reader to better assimilate the material and see its application in real life. The book will be of interest to a wide range of readers: from students of mathematical and physical-mathematical faculties to teachers and researchers engaged in number theory, algebra and geometry. If you want to deepen your knowledge in the field of mathematical physics or are just looking for a way to expand your horizons, the “Geometry of Complex Numbers, Quaternions and Spins” will be a real find for you. The topics raised in the book cover not only abstract mathematical concepts, but also their practical application in various fields of science and technology. Arnold discusses how quaternions, for example, are used in computer graphics to describe spins, and spins find their application in quantum mechanics. This makes the book especially valuable for those who want to see how mathematics interacts with other sciences and how it helps solve real-world problems. Arnold's style is distinguished by clarity and logical presentation, which allows the reader to easily follow his thoughts. He is able to explain complex ideas in a simple and accessible language, which makes his books popular with a wide audience. In addition to the "Geometry of Complex Numbers, Quaternions, and Spins", Arnold is also known for his work, such as "Ordinary Differential Equations" and "Geometry and Topology", which are also noteworthy. This book not only enriches the reader’s knowledge, but also inspires further research in mathematics. It highlights the importance of geometrical thinking and shows how mathematical concepts can be linked. By reading "The Geometry of Complex Numbers, Quaternions and Spins," you will not only learn new things, but also be able to look at familiar mathematical ideas from a new angle. Thus, if you are looking for a book that combines theory and practice, offers a deep understanding of complex mathematical concepts, and does so in a fascinating form, then Vladimir Igorevich Arnold’s “Geometry of Complex Numbers, Quaternions, and Spins” is exactly what you need. Do not miss the opportunity to expand your knowledge and discover new horizons in the world of mathematics!
LF/902985377/R

Data sheet

Name of the Author
Арнольд В.И.
Language
Russian
ISBN
9785940570257

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Geometry of complex numbers, quaternions and spins

The book “Geometry of Complex Numbers, Quaternions and Spins” by Vladimir Igorevich Arnold is a fascinating and deep immersion in the world of mathematics, whic...

Write your review

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