The book “Geometry of Complex Numbers, Quaternions and Spins” by Vladimir Igorevich Arnold is a fascinating and deep immersion in the world of mathematical geometry, where algebra, geometry and physics intersect. Arnold, one of the most eminent mathematicians of his time, masterfully combines theoretical concepts with practical applications, making complex ideas accessible to understanding. In this book, the author explores three key mathematical objects: complex numbers, quaternions, and spins, revealing their geometric properties and relationships. Complex numbers familiar to many with math lessons are here considered not only as algebraic constructs, but also as a powerful tool for describing rotations in the plane. Quaternions, in turn, are an extension of complex numbers, allowing you to describe rotations in three-dimensional space. Spins, as an important element in quantum mechanics, become a logical continuation of these ideas, opening up new horizons for understanding physical reality. The book is intended for a wide range of readers: from undergraduate and graduate students studying mathematics and physics, to teachers and researchers interested in the geometric aspects of algebraic structures. It will be especially interesting for those who seek to deepen their knowledge in the field of mathematical physics and theoretical mathematics. If you are passionate about mathematics, physics, and geometry and want to understand how these disciplines interact with each other, then this work will be a real find for you. The topics raised in the book cover not only theoretical aspects, but also practical applications. Arnold shows how the geometry of complex numbers and quaternions finds its application in various fields of science, from mechanics to quantum physics. It raises important questions about the nature of space and time, about how we perceive rotations and symmetries in our world. The reader will be able to see how abstract mathematical concepts can be used to solve real-world problems, making this book particularly valuable for those seeking practical application of the theory. Arnold's style is distinguished by clarity and logical presentation, which allows even complex topics to be understandable and fascinating. His ability to explain difficult concepts in simple language makes the book available to a wide audience. In addition, Arnold is known for his other works, such as Ordinary Differential Equations and Geometry and Topology, which are also noteworthy and can complement your understanding of the topic. In conclusion, the “Geometry of Complex Numbers, Quaternions and Spins” is not just a textbook, but a real encyclopedia of knowledge that opens up new horizons for the reader in understanding mathematics and physics. This book will be an indispensable assistant for anyone who wants to deepen their knowledge in these areas and understand how geometry shapes our perception of the world. If you are looking for inspiration and want to expand your horizons, do not miss the opportunity to get acquainted with this outstanding work.