The book “Fundamentals of combinatorial topology” by Lev Pontryagin is an outstanding work that immerses the reader in the world of combinatorial topology, one of the most fascinating and relevant areas of mathematics. Pontryagin, known for his deep understanding and original approach to mathematical concepts, offers the reader not just a textbook, but a real intellectual odyssey in which each section is permeated with the spirit of scientific search and discovery. On the pages of this book, the reader will find a systematic presentation of the basic concepts and methods of combinatorial topology. Pontryagin masterfully explains key topics such as topological spaces, continuous mappings, homotopy, and homology. He not only formulates theorems, but also offers intuitive explanations, which makes the material available even to those who are just beginning to get acquainted with this complex but fascinating field. Intriguing examples and tasks offered by the author allow the reader not only to learn the theory, but also to apply it in practice, which makes the learning process more exciting and productive. The book will be of interest not only to students and graduate students of mathematical faculties, but also to everyone who is fond of mathematics, physics and related disciplines. It is suitable both for those who are just beginning their journey in combinatorial topology, and for more experienced researchers seeking to deepen their knowledge and expand their horizons. If you are looking for literature that will help you understand complex concepts in a simple and accessible language, “Basics of combinatorial topology” is exactly what you need. The topics raised in the book concern not only abstract mathematical concepts, but also their application in various fields of science. Pontryagin shows how combinatorial topology can be used to solve problems in physics, computer science, and even biology. This makes the book particularly valuable for interdisciplinary research, where an understanding of both mathematical and practical aspects is required. The style of Pontryagin is clear and logical. It skillfully combines strict formalization with a lively and fascinating presentation, which allows the reader not only to assimilate the material, but also to enjoy the learning process. His other well-known works, such as Topology and Fundamentals of Mathematical Theory, also demonstrate his talent for explaining complex ideas in simple language and making them available to a wide audience. The book "Fundamentals of combinatorial topology" will become an indispensable assistant for anyone who seeks to understand the world of mathematics and its application in real life. It inspires further research and opens new horizons for those who are ready to immerse themselves in the study of combinatorial topology. If you are looking for high-quality and informative literature on this topic, then this work should definitely take a worthy place on your bookshelf. Do not miss the opportunity to discover the world of combinatorial topology with the help of Lev Pontryagin - this is a journey that will enrich your mind and expand your horizons.