"Fundamentals of Geometry: A Historical Sketch of the Development of the Doctrine of the Foundations of Geometry" by B. F. Kagan is a fascinating and in-depth study that immerses the reader in the world of geometry, its foundations and historical context. In this work, the author not only describes geometric principles, but also reveals their historical development, showing how ideas about space and forms have changed over the centuries. This is not just a textbook, but a real encyclopedia of knowledge that will be of interest to both students and teachers, as well as to anyone interested in mathematics and its history. Kagan, known for his work in mathematics and pedagogy, masterfully combines a scientific approach with an accessible style of presentation. His book will be especially interesting to those who seek to understand not only "how", but also "why" geometry developed exactly as it developed. The reader will be able to follow the evolution of geometric ideas from ancient times to the present, to get acquainted with key figures such as Euclid, Archimedes and many others, whose ideas became the basis for further research. The topics raised in the book cover a wide range of issues, from philosophical reflections on the nature of space to practical applications of geometry in various fields of science and technology. Kagan is not afraid to ask difficult questions and offer non-standard answers, which makes reading not only informative, but also fascinating. Readers interested in mathematics, history of science, or philosophy will find plenty of food for thought in this book. The book "Fundamentals of Geometry" will be especially useful for students and teachers of mathematical faculties, as well as for anyone who wants to deepen their knowledge in the field of geometry and its history. It will be an excellent addition to the training materials and can serve as a basis for discussions in seminars and lectures. In addition, lovers of the history of science and technology will find a lot of interesting things in it, because the author not only describes the facts, but also creates a living picture of the intellectual life of different eras. The style of Kagan is clear and logical, which makes it easy to perceive even the most complex concepts. His other well-known works, such as Mathematics and Its Philosophy and History of Mathematics, are also noteworthy and can be an excellent addition to the Fundamentals of Geometry. In these works, the author continues to explore the relationship between mathematics and philosophy, making his approach unique and multifaceted. This book is not just a textbook, but a real find for anyone who wants to understand how geometry was formed as a science, how it influenced the development of human thought and how its principles continue to operate in our modern world. Readers interested in such queries as "history of geometry", "development of mathematical teachings" or "philosophy of mathematics" will certainly find in this work what they were looking for. In conclusion, "Fundamentals of Geometry: A Historical Outline of the Development of the Doctrine of the Foundations of Geometry" B. F. Kagan is a book that will not leave indifferent any lover of mathematics and history. It opens the door to the amazing world of geometry, making us think about how the diversity of shapes and spaces affects our perception of reality. Do not miss the opportunity to immerse yourself in this fascinating journey through the pages of the history of science!