The book “Astroidal geometry of the hypocycloid and hessian topology of hyperbolic polynomials” by Vladimir Igorevich Arnold is a fascinating and in-depth study that opens the world of complex and elegant mathematics to the reader. Arnold, known for his outstanding achievements in mathematics and mechanics, offers a unique look at geometric structures that may seem abstract, but actually have many practical applications. In this book, the author explores astroid forms and hypocycloids, delving into their properties and relationships. The reader will be able to learn about how these geometric objects are related to hyperbolic polynomials and their hessian topologies. Arnold masterfully combines theory with practical examples, which makes the material available even to those who are not professional mathematicians. It offers the reader not just a set of formulas and theorems, but a whole philosophy based on an understanding of the structure and beauty of mathematical objects. This book will be especially interesting for students and teachers of mathematical faculties, as well as for anyone who is fond of geometry and algebra. If you are looking for literature that will help you deepen your knowledge in the field of higher mathematics, “Astroidal geometry of the hypocycloid and hessian topology of hyperbolic polynomials” will be an excellent choice. It can also attract the attention of researchers working in the field of catastrophe theory, dynamical systems and differential geometry. The topics raised in the book cover a wide range of issues related to mathematical aesthetics and practical applications. Arnold not only shares his knowledge, but also inspires the reader to further research in this exciting field. It shows how geometry can be not only a tool for solving problems, but also a source of inspiration and creativity. By reading this book, you will be able to see how mathematical concepts intersect with art and nature, creating amazing visual images and ideas. Arnold's style is distinguished by clarity and logical presentation, which allows the reader to easily follow his thoughts. He skillfully uses real-life examples to illustrate complex concepts, making the learning process fun and productive. If you liked Arnold's other works, such as Ordinary Differential Equations or Geometry and Topology, you will definitely appreciate this book. In addition, "Astroidal geometry of the hypocycloid and hessian topology of hyperbolic polynomials" may be useful for those interested in modern research in the field of computer graphics and modeling. Understanding the geometric foundations that are discussed in the book can greatly improve skills in these areas and open up new horizons for creativity. In conclusion, the book of Vladimir Igorevich Arnold is not just a textbook, but a real find for everyone who wants to plunge into the world of mathematics and discover its amazing possibilities. It promises not only to enrich your knowledge, but also to give pleasure from the process of study, which can be the beginning of a long and fascinating journey into the world of abstract science.