The book Non-Euclidean Geometry by Boris Alexandrovich Rosenfeld is a fascinating and in-depth study that opens the world of geometry to the reader, beyond the usual Euclidean representations. This work will be a real discovery for both students and mathematics lovers who want to expand their horizons and understand how different geometric systems can affect our perception of space and reality. In his book, Rosenfeld not only lays out the theoretical foundations of non-Euclidean geometry, but also immerses the reader in historical context, explaining how and why alternative geometric systems arose. He masterfully combines mathematical rigor with the accessibility of the presentation, which makes the book understandable even for those who are not specialists in mathematics. Readers interested in philosophy, physics and even art will find in this book many interesting ideas and concepts that can enrich their perception of the world around them. The book will be of particular interest to those seeking to understand how non-Euclidean geometry influences modern scientific theories, including Einstein's theory of relativity. Rosenfeld raises important questions about the nature of space and time, about how different geometric approaches can lead to different interpretations of physical phenomena. This makes Non-Euclidean Geometry not only a textbook, but also a real philosophical treatise that makes us think about the deep aspects of our existence. Special attention should be paid to the style of the author .. Boris Alexandrovich Rosenfeld is not only a mathematician, but also a talented writer who is able to explain complex concepts in a simple and understandable language. His previous works, such as “Geometry and its Applications” and “Basics of Mathematical Logic”, are also distinguished by clarity of presentation and a deep understanding of the subject. In Non-Euclidean Geometry, he continues this tradition by introducing elements of live storytelling and fascinating examples that make the study of geometry an exciting process. This book has a wide range of topics that will be of interest to a wide range of readers. It raises questions about how our perception of space can change depending on the chosen geometric system, and how this, in turn, affects science and technological advances. Rosenfeld also discusses the application of non-Euclidean geometry to architecture, art, and even the social sciences, making his work multifaceted and relevant. Non-Euclidean Geometry is not just a book about mathematics; it is an invitation to a world of ideas where the boundaries between science and art, philosophy and practice are blurred. It will be of interest to both schoolchildren and students, as well as to anyone who wants to expand their knowledge of mathematics and its role in our world. If you are looking for literature that not only informs, but inspires, this book will be an excellent choice. Thus, Boris Rosenfeld’s Non-Euclidean Geometry is not just a textbook, but a real find for anyone who wants to understand how different geometric systems can change our perception of reality. By reading this book, you will not only enrich your knowledge, but also open up new horizons of thinking.