The book “Fundamentals of combinatorial topology” by Lev Pontryagin is an outstanding work that not only immerses the reader in the world of abstract mathematics, but also opens doors to him in the fascinating field of topology. Pontryagin, one of the most famous mathematicians of the 20th century, masterfully combines a rigorous scientific approach with an accessible presentation, making his work valuable for both professionals and students seeking a deeper understanding of the fundamentals of combinatorial topology. In this book, the author explores the fundamental concepts of combinatorial topology, including such important concepts as simplexes, topological spaces and their properties. Pontryagin not only formulates theorems, but also demonstrates their clarity through examples and visualizations, which allows the reader to better assimilate the material. It also raises questions regarding connectivity, compactness, and other key aspects that are the basis for further study of more complex topics in topology. The book will be of interest not only to students of mathematical faculties, but also to everyone who is fond of abstract sciences, including physicists, engineers and computer scientists. If you are looking for literature that will help you understand complex concepts and develop logical thinking, “Basics of combinatorial topology” is what you need. It is suitable for both young researchers and experienced scientists who want to refresh their knowledge or expand it in a new field. The topics covered in the book go beyond purely mathematical concepts. Pontryagin addresses issues related to the application of topology in various fields, such as theoretical physics and computer science. This makes his work relevant in the modern context, as mathematics increasingly intersects with other sciences. Readers will be able to see how combinatorial topology finds its application in algorithms, computer graphics, and even game theory. The style of Pontryagin is clear and logical. His ability to explain complex ideas in simple language makes the book available to a wide audience. It uses many illustrations and examples, which allows the reader not only to understand, but also to visualize abstract concepts. This quality makes the "Basics of combinatorial topology" not only a textbook, but also a real source of inspiration for those who want to delve into the world of mathematics. In addition, Pontryagin is known for his other works, such as "Topology Methods in Mathematical Physics" and "Basics of General Topology", which also deserve attention. These works complement and expand on the themes raised in the Fundamentals of Combinatorial Topology, creating a holistic view of the mathematical world. If you are looking for books that will help you in studying topology, pay attention to the "Basics of combinatorial topology" by Lev Pontryagin . This book will not only enrich your knowledge, but also inspire further research in mathematics and its applications. Do not miss the opportunity to immerse yourself in the world of combinatorial topology and discover new horizons of science!