The book "Fundamentals of combinatorial topology" by Lev Pontryagin is an outstanding work that has become a reference book for many mathematicians and students interested in topology and its applications. Pontryagin, one of the greatest mathematicians of the 20th century, is known for his in-depth research in topology, algebra, and functional analysis. In this book, he offers readers a unique perspective on combinatorial topology, focusing on its basics and key concepts. Combinatorial topology is a branch of mathematics that studies topological spaces using combinatorial methods. Pontryagin masterfully explains how combinatorial approaches can be used to solve complex topological problems. The book covers a wide range of topics, ranging from the basics of topological spaces to more complex concepts such as homotopy and homology. The reader plunges into the world of abstract concepts, but thanks to the clear and accessible style of the author, even the most complex ideas become understandable and fascinating. This book will be especially interesting for students and graduate students of mathematical faculties, as well as teachers who are looking for a high-quality and deep source of information on combinatorial topology. If you’re passionate about math, love solving puzzles, and want to understand how abstract concepts can be applied in real life, then Basics of Combinatorial Topology is exactly what you need. The book will also be useful to those studying related fields, such as algebraic topology and geometry, as many ideas and methods overlap. Pontryagin raises many topics in his book that are of interest and discussion in the mathematical community. It explores how combinatorial methods can be used to analyze the topological properties of spaces, and shows how these methods can lead to new discoveries in other areas of mathematics. The book not only teaches, but also inspires further research, prompting the reader to ask questions about the nature of space and its properties. The style of Pontryagin is clear and logical. He skillfully combines theory with practical examples, which makes the material more accessible and understandable. The reader not only receives theoretical knowledge, but also learns to apply them in practice. This quality makes the book a valuable resource for both beginners and experienced researchers. "Fundamentals of combinatorial topology" is not just a textbook, but a real encyclopedia of ideas that can change your understanding of mathematics. If you are looking for literature that will help you deepen your knowledge in the field of topology, this book will become your reliable companion. In addition, Pontryagin is the author of many other significant works, such as "Algebraic Topology" and "Functional Analysis", which also deserve attention and can complement your understanding of mathematics. Do not miss the opportunity to immerse yourself in the world of combinatorial topology with Leva Pontryagin . This book will not only be a source of knowledge, but also an inspiration for anyone seeking to understand the complex and fascinating aspects of mathematics.