“Non-Euclidean Spaces” is a fascinating work written by the famous Russian mathematician and popularizer of science Boris Alexandrovich Rosenfeld. This book will be a real discovery for both lovers of mathematics and for those who are just beginning to get acquainted with its amazing world. In it, the author leads the reader along the intricate paths of geometry, revealing the secrets of non-Euclidean spaces and their significance in modern scientific discourse. The book begins with the basics, inviting readers to immerse themselves in the world of classical geometry before moving on to more complex concepts. Rosenfeld masterfully explains how non-Euclidean geometry, unlike the usual Euclidean geometry, opens up new horizons for understanding space and form. Readers will be able to learn about such outstanding figures as Lobachevsky and Riemann, who became the founders of this new paradigm. The author not only outlines theoretical aspects, but also shares practical examples that make the material accessible and understandable. This book will be interesting to a wide range of readers .. Students and teachers of mathematical and physical faculties will find in it useful materials for their research and lectures. However, “Non-Euclidean spaces” are suitable not only for professional mathematicians, but also for those who are simply interested in science and want to expand their horizons. If you like to solve puzzles and immerse yourself in the world of abstract concepts, then this book will become a real storehouse of knowledge for you. The topics raised in Non-Euclidean Spaces cover not only pure mathematics, but also philosophical questions about the nature of reality. Rosenfeld makes us think about how our perception of space affects our understanding of the world. He raises important questions about how different geometric models can be applied in physics, astronomy, and even art. Readers will see how non-Euclidean geometry finds its application in fields such as relativity and quantum mechanics, making the book relevant and important for understanding the modern scientific approach. Boris Rosenfeld's style is distinguished by clarity and accessibility. He is able to explain complex ideas in simple language, which makes his works attractive to a wide audience. His previous works, such as “Mathematics for All” and “The Mysteries of Mathematics”, have also been recognized for their ability to combine deep knowledge with fascinating exposition. In Non-Euclidean Spaces, this approach is particularly pronounced, which makes reading not only cognitive, but also fascinating. If you are looking for a book that will open up new horizons in your understanding of mathematics and geometry, “Non-Euclidean Spaces” is exactly what you need. It will be a great addition to your library, as well as a source of inspiration for reflection on the nature of space and time. Do not miss the opportunity to immerse yourself in this exciting world, which will open up new perspectives and make you look at familiar things from a different angle.