The book “Wave fronts and topology of curves” by Vladimir Igorevich Arnold is a fascinating and in-depth study that opens up to readers the world of mathematical concepts related to wave fronts and their topology. Arnold, an outstanding mathematician and one of the largest popularizers of science, offers a unique look at complex mathematical ideas, making them accessible and understandable to a wide audience. In this book, the author immerses the reader in the world of geometry and physics, exploring how wavefronts can be described in terms of topology. Arnold masterfully combines abstract mathematical concepts with real physical phenomena, which makes his work not only theoretically significant, but also practically applicable. Readers will be able to learn how waves, passing through different environments, form complex structures and how these structures can be described using topological methods. This is especially interesting for those interested in physics, mathematics and engineering, because the book opens new horizons in the understanding of dynamical systems. Who can like this book? First of all, it will be of interest to students and graduate students studying mathematics, physics and engineering sciences . It will also attract the attention of teachers and researchers working in these fields. However, do not think that only professionals will find value in it .. Science buffs who seek to expand their knowledge and understand how mathematical concepts are applied in the real world will also find the Wavefronts and Curve Topology a lot of fun and useful. The topics raised in the book cover a wide range of issues, ranging from the basics of topology to complex mathematical models. Arnold raises important questions about the nature of waves and their interaction with the environment, which may be especially relevant in light of current research in physics and engineering. His in-depth analysis and original approaches to solving problems make the book not only a textbook, but also a real source of inspiration for future scientists. Arnold's style is clear and accessible. He skillfully uses real-life examples and visual illustrations to explain complex ideas. This makes reading not only informative, but also fascinating. In his other well-known works, such as Geometry and Dynamics and Ordinary Differential Equations, Arnold also demonstrates his unique approach to learning, which combines rigorous mathematics and intuitive understanding. If you are looking for books on mathematics, physics or engineering that will help you to better understand wave processes and their topological aspects, “Wave Fronts and Curve Topology” will be a real find for you. This work will not only expand your knowledge, but also inspire further research in the field of science. Read, explore and discover the amazing world of mathematics with Arnold!