"Geometry of complex numbers, quaternions and spins" is an outstanding work of the outstanding mathematician and popularizer of science Vladimir Igorevich Arnold .. This book is not just a textbook on mathematics, but a real philosophy of numbers and forms, which opens the door for the reader to the world of abstract thinking and geometric representations. Arnold, known for his deep reflections on mathematics and its relationship to other sciences, offers a unique perspective on complex concepts, making them accessible and understandable. The book addresses topics such as complex numbers, quaternions, and spins, which are fundamental to understanding many aspects of both pure and applied mathematics. Arnold not only expounds the theory, but also illustrates it with vivid examples and geometric interpretations, which allows the reader not only to assimilate the material, but also to see its practical application. The reader will be able to learn how these mathematical structures affect physics, engineering and even computer science, which makes the book relevant for a wide range of specialists and amateurs. This book will be of interest not only to students and graduate students of mathematical and physical faculties, but also to anyone who wants to deepen their knowledge in mathematics and its applications. It is suitable for both beginners and experienced researchers seeking to expand their horizons. If you are interested in mathematics, physics, engineering or just want to understand how complex concepts such as multidimensional spaces and their geometry work, then the “Geometry of complex numbers, quaternions and spins” will be a real find for you. The topics raised in the book cover not only mathematical aspects, but also philosophical ones. Arnold makes the reader think about the nature of numbers and their role in our perception of the world. It shows how abstract concepts can have real meaning and application in everyday life and science. This makes the book particularly valuable for those seeking not only knowledge but also a deep understanding of the nature of mathematics. Arnold's style is clear and logical, which allows even complex ideas to be presented in accessible language. He masterfully combines the rigor of the scientific approach with the vivacity and captivity of the narrative. Readers familiar with his other works, such as Ordinary Differential Equations or Geometry and Topology, will appreciate his unique approach and ability to make complex things understandable. “The geometry of complex numbers, quaternions and spins” is not just a book, but a whole world that opens up new horizons for the reader. It will become an indispensable assistant for students, teachers, researchers and anyone interested in mathematics and its applications. If you are looking for literature that not only teaches, but also inspires, then this work must take its rightful place on your shelf. Do not miss the opportunity to immerse yourself in the fascinating world of geometry and numbers together with Vladimir Igorevich Arnold!