The book “Astroidal geometry of the hypocycloid and hessian topology of hyperbolic polynomials” by Vladimir Igorevich Arnold is a fascinating and deep immersion in the world of mathematics, which can attract both professional mathematicians and science lovers. Arnold, known for his outstanding work in dynamical systems theory, differential geometry, and topology, offers the reader a unique perspective on complex mathematical concepts, making them accessible and understandable. From the first pages of the book, the reader finds himself in an exciting world of astroid geometry, where hypocycloids become not just abstract figures, but real heroes of mathematical drama. The author masterfully guides the reader through labyrinths of complex concepts, such as hessian topology and hyperbolic polynomials, revealing their interrelations and practical application. Each chapter is filled with not only theoretical calculations, but also living examples that allow you to better understand how these mathematical constructions work in real life. This book will be interesting not only for students and graduate students of mathematical faculties, but also for everyone who is fond of mathematics and wants to expand their horizons. If you are looking for literature that will help you understand complex topics, such as geometry and topology, then “Astroidal geometry of the hypocycloid” will be a real find for you. Readers interested in works such as Introduction to Topology or Geometry and Topology by other authors will find in this book a lot in common, but at the same time a unique approach by Arnold. The topics raised in the book cover a wide range of issues, from purely mathematical to philosophical. Arnold is not afraid to ask difficult questions about the nature of space and time, about how geometry affects our perception of reality. His writing style combines the rigor of scientific presentation and ease, which makes reading not only useful, but also fascinating. The reader can expect each page to be full of unexpected discoveries and deep reflections. Arnold is not only the author of this book, but also an outstanding scientist whose work has left a noticeable mark in the mathematical community. His other well-known works, such as Geometry and Dynamics and Ordinary Differential Equations, are also noteworthy and can serve as an excellent addition to the study of topics covered in Astroidal Geometry. The book “Astroid geometry of the hypocycloid and hessian topology of hyperbolic polynomials” is not just a textbook, but a real encyclopedia of ideas that encourages the reader to think outside the box and ask questions. It will be an excellent gift for students, teachers, researchers and anyone who wants to deepen their knowledge in the field of mathematics. If you’ve ever wondered how mathematics can explain the world around us, this book is your chance to get answers. Dive into the pages of “Astroidal geometry”, you will not only learn about complex mathematical concepts, but also discover new horizons of thinking. Do not miss the opportunity to become part of this fascinating journey into the world of mathematics, which is offered by Vladimir Igorevich Arnold .