The book "Approximate solution of operator equations" by the authors of M. A. Krasnoselsky, G. M. Vainiko, P. P. Zabrejko, I. B. Ruticki and W. I. Stetsenko is a significant contribution to the field of mathematical analysis and operator theory, which will be of interest to both specialists and students seeking to deepen their knowledge in this complex but fascinating field. This paper discusses methods of approximate solution of operator equations, which is one of the key topics in modern mathematical modeling. The authors, with rich experience and deep knowledge, offer the reader not only theoretical foundations, but also practical applications, which makes the book especially valuable for those who work in applied mathematics, physics, engineering and other related fields. The book begins with an introduction to the basic concepts of operator theory, which allows the reader to easily master the material, even if he is not an expert in this field. Then the authors smoothly move on to more complex topics, such as the existence and uniqueness of solutions of operator equations, as well as methods of their approximate location. Each section is accompanied by examples and tasks, which contributes to better assimilation of the material .. A feature of the book is its accessible style of presentation, which combines the rigor of the scientific approach and the clarity of the explanations. The authors use many illustrations and graphs, which helps to visualize complex concepts and makes the learning process more fascinating. This will certainly attract the attention of students and young scientists seeking a deep understanding of the mathematical foundations. The book will be interesting not only for those who already work in the field of mathematical analysis, but also for those who are just starting their way in science. It will be an excellent study guide for undergraduate and graduate students, as well as a useful reference material for practitioners. If you are looking for literature on topics related to approximate methods of solving equations, then this publication will be a real find for you. The topics raised in the book are relevant and in demand in the modern scientific community. With the constant growth in the volume of data and the need to process them, methods of approximate solution of operator equations are becoming increasingly important. The authors consider both classical methods and the latest approaches, which allows the reader to get a complete picture of the current state of affairs in this area. M. A. Krasnoselsky and his colleagues are known for their work in functional analysis and operator theory. Their previous publications, such as Functional Analysis and Linear Operators, have also gained recognition in the scientific world and have become foundational to many researchers. In their new book, they continue to develop and deepen these ideas, offering readers a fresh perspective on familiar concepts. If you are looking for a book that will help you understand complex mathematical concepts, enrich your knowledge and become a reliable assistant in scientific activities, “Approximate solution of operator equations” is exactly what you need. Do not miss the opportunity to immerse yourself in the world of mathematical analysis and discover new horizons that will open up for you thanks to this fascinating and useful book.