The book "Mathematical modeling of non-stationary processes of impact and penetration of axisymmetric bodies and identification of soil properties" is a unique publication created by a team of authors that immerses the reader in the complex and fascinating world of mathematical modeling. This work will become an indispensable tool for students, graduate students and specialists in the field of mechanics, engineering and geotechnics, as well as for anyone interested in modern methods of analysis and modeling of physical processes. The book discusses important aspects of non-stationary processes associated with impacts and penetration of bodies into the ground. The authors offer the reader an in-depth analysis of mathematical models that allow describing the dynamics of interaction of axisymmetric bodies with soil structures. This study covers both theoretical and practical aspects, making it particularly valuable for engineers and scientists working in the design and analysis of building structures, as well as in the field of safety. Who can like this book? First of all, it will be of interest to students and graduate students of technical specialties who seek to deepen their knowledge in the field of mechanics and mathematical modeling . Engineers working in construction and geotechnics will find in it useful recommendations and relevant research that will help in their professional activities. The book can also attract the attention of researchers dealing with the problems of dynamics and interaction of bodies with different environments. The topics raised in the book cover a wide range of issues, ranging from the basics of mathematical modeling to the complex problems of identifying soil properties. The authors emphasize the importance of accurate modeling for predicting the behavior of structures and materials under dynamic loads. This is especially true in light of current challenges related to climate change and the increasing frequency of natural disasters such as earthquakes and floods. The book focuses on the need to develop reliable analysis methods that will help minimize risks and improve the safety of construction sites. The style of the authors is distinguished by clarity and consistency of presentation. They successfully combine theoretical concepts with practical examples, which makes the material understandable even for readers who do not have deep knowledge in mathematics. Each section of the book is accompanied by illustrations and graphs that help to visualize complex processes and make the material more visual. The book "Mathematical modeling of non-stationary processes of impact and penetration of axisymmetric bodies and identification of soil properties" is not just a textbook, but a real find for anyone who wants to understand the complex mechanisms of interaction between bodies and soil. It can become the basis for further research and development in the field of mechanics and engineering, as well as inspire readers to new ideas and projects. If you are looking for literature that will help you understand the complex processes occurring in nature and technology, this book will be an excellent choice. It will not only expand your knowledge, but also help you put it into practice, making it an indispensable tool for any specialist in the field.