The book "Mathematical modeling in the problems of dynamics of vibration and aeroelastic systems" edited by P. A. Velmisova is a unique publication that immerses the reader in the world of complex physical phenomena and their mathematical description. This work is the result of the collective work of experienced professionals who seek to make accessible to a wide audience the complex aspects of dynamics and modeling. From the first pages, the book draws attention to its relevance and practical significance. It examines various aspects of vibration shock and aeroelastic systems that play a key role in modern technology from aviation to mechanical engineering. The authors offer readers not only theoretical foundations, but also practical examples, which makes the material accessible and understandable even for those who are just beginning to get acquainted with this field of science. Who can like this edition? First of all, the book will be of interest to students and graduate students of technical and natural sciences specialties, as well as teachers who are looking for quality materials for their courses . Engineers and researchers working in the field of mechanics, dynamics and materials science will find in it many useful ideas and solutions for their projects. In addition, the book can attract the attention of science lovers who are interested in modern achievements in the field of mathematical modeling and dynamics. The topics raised in the book cover a wide range of issues related to the dynamic behavior of systems under the influence of various forces. The authors discuss methods and approaches to mathematical modeling that allow analyzing and predicting the behavior of vibration shock and aeroelastic systems. This knowledge can be applied in a wide variety of fields, including the design of new materials, the creation of more efficient machines and devices, as well as in research activities. The style of writing the book is clear and logical, which allows the reader to easily assimilate even the most complex concepts. The authors use many illustrations and graphs that help to visualize the ideas discussed and make the material more visual. This is especially important in the scientific literature, where understanding a theory often depends on the ability to present it in graphic form. P. A. Velmisov and his colleagues are not the first to turn to the topic of mathematical modeling. There are already a number of other well-known works in their arsenal that also deserve attention. For example, their previous publications dealt with issues of mechanics and dynamics, and each of them was highly appreciated by both specialists and students. In this book, they continue to develop their ideas and approaches, which makes it a logical continuation of their scientific activities. “Mathematical modeling in the dynamics of vibration and aeroelastic systems” is not just a textbook, but a real find for anyone who wants to deepen their knowledge in the field of mathematical modeling and dynamics. Readers interested in topics such as mechanics, dynamics, mathematical modeling, as well as the practical application of this knowledge, will find in the book a lot of useful information and inspiration for their research. Thus, this edition is an important contribution to the scientific literature, which not only expands the horizons of knowledge, but also inspires new discoveries. If you are looking for a high-quality and informative source on mathematical modeling, this book will be an excellent choice.