The book "Ideas and Methods of Affinity and Projective Geometry", written by prominent mathematicians M. Yaglom and B. G. Ashkinuse is a deep and fascinating study in the field of geometry that will be of interest to both students and teachers, as well as anyone who is passionate about mathematics. This work is not just a textbook, but a real encyclopedia of ideas and methods that will help the reader understand and master the complex concepts of affinity and projective geometry. The book discusses the basic principles and theories underlying affine and projective geometry, making it an indispensable tool for students of mathematical departments. The authors, with rich experience in teaching and research, use accessible language and illustrative examples to explain even the most complex aspects. The reader will be able to immerse himself in the world of geometric figures, studying their properties and relationships, as well as mastering the methods of their study. The topics raised in the book cover a wide range of issues, from the basics of affinity geometry to more complex concepts of projective geometry. The authors emphasize the importance of intuitive understanding of geometric objects, which allows the reader not only to remember the facts, but also to develop critical thinking and analytical skills. The book is full of illustrations and graphics that make the material more visual and understandable. "Ideas and methods of affine and projective geometry" will be especially useful for those who are ready to delve into the study of mathematics, as well as for those who are interested in the application of geometric methods in various fields of science and technology. Students, graduate students and teachers will find in it a lot of useful information that will help not only in their studies, but also in their scientific activities. In addition, the book may be of interest to lovers of mathematics, seeking to expand their knowledge and understanding of this fascinating science. The style of Yaglom and Ashkinuze is clear and logical, which makes reading a book pleasant and productive. The authors skillfully combine theoretical aspects with practical tasks, which allows the reader not only to assimilate the material, but also to apply it in practice. Their previous works, such as "Geometry and its Applications" and "Mathematical Logic", were also praised for their accessibility and depth of presentation, which confirms their authority in the field of mathematics. The book raises important topics, such as the relationship between geometry and other branches of mathematics, as well as its application in the real world. The authors show how geometric methods can be used to solve practical problems in physics, engineering, and even artificial intelligence. This makes the book relevant not only for students, but also for professionals working in various fields. If you are looking for literature that will help you master affine and projective geometry, develop mathematical thinking and learn how to apply geometric methods in practice, then “Ideas and methods of affine and projective geometry” will be an excellent choice for you. This book will not only enrich your knowledge, but also inspire further research in the world of mathematics.