The book "Approximation and correctness of boundary problems for differential equations" edited by Yu. I. Belov and the team of authors represents an important contribution to the field of mathematical analysis and the theory of differential equations. This edition will be of particular interest to students, graduate students and specialists in applied mathematics, physics and engineering. The book discusses in detail the methods of approximation and their application to boundary tasks, making it an indispensable tool for those who seek to deepen their knowledge in this complex but fascinating field of science. One of the key topics of the book is the study of the correctness of boundary problems, which implies the study of the conditions under which problems have solutions, as well as their uniqueness and stability. The authors offer the reader not only theoretical foundations, but also practical methods that allow effectively solving problems arising in various fields of science and technology. In this context, the book becomes not just a textbook, but a real reference for researchers and practitioners. The style of presentation in the book is clear and logical, which allows the reader to easily assimilate complex concepts and apply them in practice. The authors use many examples and illustrations, which makes the material more accessible and understandable. This is especially important for students and aspiring researchers who may face difficulties in understanding the theoretical aspects. The book also raises important topics related to modern methods of numerical solution of differential equations. With the rapid development of computing technologies and software, knowledge of approximation methods becomes especially relevant. Readers will be able to learn about various numerical methods, such as the finite difference method and the finite element method, which are widely used in engineering tasks and scientific research. For those who are already familiar with the works of Y. I. Belov, this book will be a logical continuation of his scientific work The author is known for his research in the field of differential equations theory and mathematical modeling .. His previous works, such as Methods for Solving Differential Equations and Numerical Methods in Mathematics, have also been praised among specialists. In this new book, he and his team continue to develop and deepen the themes that have been touched upon in previous editions, offering readers fresh insights and approaches. The book will be interesting not only for those who already work in the field of mathematics, but also for those who are just starting their way. It can be an excellent addition to training courses in mathematical analysis, function theory, and numerical methods. It will also be useful for teachers who are looking for quality materials for their students. In conclusion, “Approximation and correctness of boundary problems for differential equations” is not just a book, but a whole world in which readers are immersed, seeking to understand complex mathematical concepts and apply them in real life. It will become a reliable companion for anyone who wants to deepen their knowledge in the field of differential equations and learn how to apply them in various scientific and practical tasks. Do not miss the opportunity to discover new horizons in mathematics with this fascinating and informative book!