A Course in Projective Geometry of Spaces with a Disintegrating Absolute by A. Hatipova is a fascinating and in-depth study in the field of geometry that not only expands the horizons of scientific knowledge, but also offers the reader a unique look at the fundamental concepts underlying projective geometry. This work will be a real find for students, graduate students and anyone interested in mathematics, especially in the context of geometric and algebraic structures. In the book, Khatipov invites the reader to immerse himself in the world of projective geometry, where space is seen not as a fixed structure, but as a dynamic formation subject to changes and transformations. The author introduces the concept of a “decaying absolute”, which creates an intriguing basis for analyzing and discussing various aspects of geometry. This innovative approach allows you to take a fresh look at familiar geometric figures and their properties, opening up new horizons for the reader to think about. The book will be especially interesting for those who are passionate about mathematics and physics, as well as for those who seek to deepen their knowledge in the field of higher mathematics. Students and lecturers in geometry will find in this course many useful ideas and concepts that can be applied to both theoretical and practical problems. The book will also be useful to researchers working in related fields, such as topology and algebraic geometry. The topics raised in the book cover a wide range of issues, ranging from the basics of projective geometry to more complex concepts such as projective spaces, their properties, and relationships with other areas of mathematics. Hatipov masterfully combines theory and practice, offering the reader not only theoretical calculations, but also practical examples that help to better understand the material. This makes the book not only a textbook, but also a real guide to the world of geometry. The author's style is distinguished by clarity and accessibility, which allows even complex mathematical concepts to be presented in an understandable and fascinating form. Khatipov is known for his ability to explain complex ideas in simple language, which makes his works especially valuable to a wide audience. There are other works in his arsenal that also deserve attention, such as Algebraic Geometry and its Applications, where he continues to develop the themes touched upon in the Course of Projective Geometry. This book is not just a textbook, but a real encyclopedia of knowledge that inspires further research and discoveries. Readers interested in mathematics, physics, as well as the philosophy of science will find in it many interesting ideas and concepts that can change their perception of geometry and space. The course of projective geometry of spaces with a decaying absolute is not just a book, but a key to understanding complex mathematical structures and their interconnections. If you are looking for literature that can not only enrich your knowledge, but also inspire new ideas, then this work will be a real find for you. Do not miss the opportunity to immerse yourself in the world of projective geometry with A. Hack and discover new horizons of mathematical thinking!