The book Differential Topology by John Milnor and Art Wallace is an outstanding work that immerses the reader in the world of mathematical concepts and theories related to differential topology. This edition will certainly become a reference book for students, graduate students and teachers, as well as for anyone interested in modern areas in mathematics and its applications. The book focuses on the main ideas and methods of differential topology, which allow you to explore the properties of manifolds and their structures. The authors, with deep knowledge and experience, present the material in such a way that even complex concepts become accessible for understanding. The reader will be able to learn about such key topics as smooth manifolds, vector fields, differential forms and manifolds with a boundary. Each chapter of the book is imbued with logic and consistency, which makes learning fascinating and cognitive. The book "Differential Topology" will be of interest not only to professional mathematicians, but also to those who are just starting their way in this field. Students studying mathematics, physics or related disciplines will find useful explanations and examples in it that will help them better assimilate the material. Teachers will be able to use it as a teaching aid, and researchers as a reference for in-depth study. One of the features of the book is its style .. Milnor and Wallace masterfully combine theory with practice, which allows the reader not only to assimilate abstract ideas, but also to see their application in real-world problems. Their approach to explaining complex topics makes reading not only useful, but also enjoyable. The authors use many examples and illustrations that help to visualize ideas and make the material more understandable. The topics raised in the book cover a wide range of issues, ranging from the basics of differential topology to more complex concepts such as topological invariants and their application in other areas of mathematics. The book also touches on important aspects related to geometry and physics, which makes it particularly relevant for those interested in interdisciplinary research. Milnor, as one of the leading mathematicians of the 20th century, is known for his work in topology and differential geometry. His other well-known works, such as Topology and Smooth Diversity, are also noteworthy and are important milestones in the study of mathematics. Wallace, in turn, is an expert in algebraic topology and his contribution to this book makes it even more valuable. The book “Differential Topology” will become not only a source of knowledge, but also an inspiration for many . It opens doors to the world of complex mathematical structures and helps readers develop critical thinking and analytical skills. If you are looking for a way to deepen your knowledge in mathematics or want to understand how differential topology affects other disciplines, this publication will become an indispensable assistant for you. Thus, Differential Topology is not just a book, but a whole world worth diving into for anyone who wants to expand their horizons and understand how mathematics shapes our perception of the world around us.