The book "Methods of solving unstable problems of mathematical physics" by E. In. Tabaritseva is a real treasure for those who seek to understand and master the complex aspects of mathematical physics associated with unstable systems and their modeling. This book is intended for scientists, engineers, graduate students and students who delve into the theory and practice of problem solving, where traditional methods prove to be ineffective or not applicable at all. In it, the author reveals to the reader unique approaches and modern methods that allow finding solutions in conditions where classical models fail, and systems demonstrate unstable behavior. What makes "Methods for solving unstable problems of mathematical physics" a particularly valuable publication is not only the theoretical foundation, but also the practical orientation. E. In. Tabarintsev, a well-known specialist in the field of mathematical physics, masterfully combines strict mathematics with applied aspects, which allows the reader not only to understand complex concepts, but also to apply them to real problems. The book discusses in detail such important topics as the theory of unstable solutions, methods of stabilization, analytical and numerical approaches to solving unstable problems, as well as modern algorithms used in scientific research and engineering development. A special place in the book is occupied by the analysis of methods for controlling unstable systems, which is especially important in the context of modern technologies - from the aerospace industry to energy and robotics. The author is not limited to dry theory, but demonstrates practical examples and cases showing how it is possible to overcome the difficulties associated with instability in various fields of science and technology. This approach makes the book not only a teaching tool, but also a valuable guide for those who face similar challenges in their professional activities. Style E. In. Tabarintseva is a combination of clarity, accuracy and scientific rigor .. He masterfully explains complex ideas, avoiding excessive terminological overload, which makes the book available to a wide range of readers, including those who are just beginning their journey in the field of mathematical physics, and those who are looking for new approaches to solving long-known problems. In his other well-known works, there is a deep understanding of dynamical systems, differential equations and methods of mathematical modeling, which makes "Methods of solving unstable problems of mathematical physics" a logical continuation of his scientific heritage. This book is not just a collection of methods, but a real guide to the complex labyrinths of unstable systems. It raises important questions about the nature of instability, about how systems that seem to be on the verge of collapse can be managed and stabilized. In today's world, where technology is constantly evolving and systems are becoming more complex and sensitive, understanding and applying the techniques described in this book is becoming a necessity for scientists and engineers working in advanced fields of science and technology. For those who are looking for literature on mathematical physics, theory of unstable systems, numerical methods and control of dynamical systems, "Methods for solving unstable problems of mathematical physics" E. In. Tabaritseva is not just a book, but a desktop tool that can expand the horizons of knowledge and help find non-standard solutions to complex problems. It deservedly ranks among the best educational and scientific publications on this topic, being an indispensable tool for those who want not only to understand, but also to learn how to manage unstable systems in the modern world.