The collection consists of reports presented at the International Symposium on Gyroscopy. The range of problems under consideration covers both general issues of the mechanics of rotating masses and the practice of creating modern, still under development, high-precision gyroscopes for inertial navigation. These include: an overview of theoretical works and statements of the problems of the general theory of gyroscopes, research on the dynamic theory of gyroscopic systems and the development of new sensitive elements for inertial navigation systems. The names of the authors of the reports - leading specialists in the field of gyroscopy - speak eloquently about the high scientific level and significance of the book. The book is of interest to scientists in the field of gyroscopy, as well as to applied mathematicians. It is recommended for students, graduate students and engineers who want to deepen and systematize their knowledge in the field.