The book "Elements of integral calculus of a function of one variable" edited by L. C. Maergoise is not just a textbook, but a real find for anyone who seeks to better understand the basics of mathematical analysis. This work is a comprehensive and structured presentation of the theory of integrals, their properties and applications, which makes it an indispensable tool for both students and teachers. The book focuses on integral calculus, one of the key areas of mathematics that is of great importance in various scientific disciplines. The author's team, consisting of experienced mathematicians and teachers, offers the reader not only theoretical foundations, but also practical examples that will help to consolidate the knowledge gained. Each chapter is imbued with logic and consistency, which allows the reader to step by step plunge into the world of integrals, starting from the simplest concepts and ending with more complex topics. This book will be an ideal choice for students of mathematical and technical specialties, as well as for anyone interested in mathematics at a deeper level. It will be useful both for those who are just starting to study integral calculus, and for those who want to refresh their knowledge and deepen their understanding of the topic. Teachers will find in it a lot of useful materials for preparing for classes, as well as interesting tasks for their students. The topics raised in the book cover a wide range of issues: from the definition of the integral and its properties to the application of integrals in various fields of science and technology. Particular attention is paid to the methods of calculating integrals, which allows the reader not only to learn about existing approaches, but also to develop skills in their application. Integrals, as an important tool in mathematical analysis, find their application in physics, economics, biology and many other sciences. This makes the book especially relevant for those who want to link their knowledge with practical tasks. The style of presentation of the authors is distinguished by clarity and accessibility. They strive to make complex mathematical concepts understandable to a wide audience, which is certainly one of the main advantages of this publication. The book uses a variety of illustrations and graphics, which helps to visualize the material and makes the learning process more exciting. L. C. Maergoise is a well-known mathematician and author of many textbooks, and his name has already become synonymous with high-quality mathematical education. In his works there is always a desire for a deep understanding of the subject, which is reflected in the "Elements of integral calculus" .. If you are familiar with his other works, such as "Basics of Mathematical Analysis" or "Differential Equations", then this book will be a logical continuation of your acquaintance with mathematics. Do not miss the opportunity to immerse yourself in the world of integral calculus with the help of “Elements of integral calculus of a function of one variable” This book is not just a textbook, but a key to understanding one of the most important areas of mathematics, which opens the door to the world of science and technology. Read, study and apply the knowledge gained in practice!