The book "On the solution of equations of higher degrees (Sturma method)" by Igor Romanovich Shafarevich is a fascinating and deep study in the field of algebra, which will not leave indifferent any lover of mathematics. Shafarevich, known for his outstanding work in the field of number theory and algebra, offers readers a unique look at one of the most difficult topics - the solution of equations of higher degrees using the Sturm method. This book will be a real discovery for students, graduate students and teachers of mathematical disciplines, as well as for anyone interested in theoretical mathematics and its applications. If you have ever thought about how to solve polynomials of a higher degree than square or cubic, then this book is your guide to the world of complex equations. Shafarevich not only explains the Sturm method, but also immerses the reader in its historical context, demonstrating how it has developed and been applied in practice. The book begins with the basics, where the author explains what the equations of higher degrees are and what problems can arise when they are solved. Shafarevich emphasizes that traditional methods, such as the Vieta formulas or the division method, do not always work for polynomials of the fourth degree and above. Here comes to the aid of the Sturm method, which allows you to find the roots of equations with a high degree of accuracy and reliability. The topics raised in the book cover not only mathematical aspects, but also philosophical reflections on the nature of numbers and equations. Shafarevich raises questions about how mathematics can serve as a tool for understanding the world around us, and how methods that seem abstract actually have practical applications in various fields of science and technology. This makes the book especially valuable for those who are looking not only for theoretical knowledge, but also for their practical application. The author's style is clear and logical, which makes complex concepts available to a wide audience. Shafarevich is known for his ability to explain even the most confusing topics in a simple and understandable language, which makes his work popular among students and teachers. His other well-known works, such as Fundamentals of Algebra and Linear Algebra, have also been recognized for their in-depth approach and accessible presentation. The book "On the solution of equations of higher degrees (Sturma method)" will be of interest not only to students and teachers, but also to everyone who wants to expand their knowledge in the field of mathematics. It is suitable both for those who are just starting their way in the study of algebra, and for experienced mathematicians who want to deepen their knowledge of methods for solving complex equations. If you are looking for books on mathematics that will help you understand complex topics, or want to learn more about the methods of solving equations, then Shafarevich’s work will become an indispensable resource for you. Read, study, and let mathematics become for you not only a science, but also an exciting journey into the world of numbers and formulas!