“Knots and their invariants” is a fascinating and in-depth study written by well-known mathematicians and specialists in the field of topology, Andrei Duzhin and Dmitry Chmutov .. This book will be a real discovery for anyone interested in mathematics, especially in its geometric and topological aspects. If you have ever thought about how nodes in space can be classified and analyzed, then this work will definitely attract your attention. The book immerses the reader in the world of nodes - mathematical objects that, at first glance, seem to be simple, but in fact hide a lot of complex and interesting properties. Duzhin and Chmutov offer readers not only theoretical calculations, but also practical examples that make the material accessible and understandable. They investigate node invariantscharacteristics that remain the same under different node transformationsand show how these invariants can help in distinguishing nodes and classifying them. This book will be interesting not only for professional mathematicians, but also for students, graduate students, as well as all lovers of science who want to expand their horizons in the field of topology. If you are studying at the Faculty of Mathematics or just interested in mathematics as a hobby, “Knots and their invariants” will become a valuable source of knowledge and inspiration for you. Readers interested in topics such as geometry, algebra, and even physics will find this book a lot of useful and fascinating. The topics raised in the book go beyond pure mathematics. The authors discuss how nodes and their invariants can be related to various fields of science, including biology, where nodes can represent DNA molecules, and physics, where they can be used to describe various physical systems. This makes Knots and Their Invariants not only a textbook, but also an interdisciplinary study that can attract the attention of specialists from various fields. The style of Duzhin and Chmutov is distinguished by clarity and accessibility. They skillfully balance between complex mathematical concepts and simple explanations, which makes the book understandable even for those who do not have deep knowledge in the field of topology. Their previous works, such as Topology and its Applications and Algebraic Topology, have also earned recognition in the scientific community and have helped many readers master complex topics. If you are looking for a book that will not only expand your knowledge of mathematics, but also inspire you to new discoveries, “Knots and their invariants” will be an excellent choice. Readers interested in topics such as "node topology", "invariants in mathematics", "node geometry" and "mathematical research" will find in this work many useful ideas and concepts. In conclusion, Nodes and Their Invariants is not just a book about mathematics, it is an invitation to a fascinating world where nodes become the key to understanding more complex structures and phenomena. After reading it, you will not only enrich your knowledge, but also perhaps open up new horizons in the study of mathematics and its applications in the real world. Do not miss the opportunity to immerse yourself in this exciting world of nodes and their invariants!