The book "Mathematical theory of reliability and its engineering applications", written by a team of authors, is a unique and in-depth study that combines the theoretical foundations and practical aspects of reliability in engineering. This edition will be a reference book for both students and professionals working in the field of design and operation of complex systems, where reliability plays a key role. In today's world, where technology is rapidly developing and quality and safety requirements are becoming more stringent, understanding the mathematical theory of reliability is becoming necessary for successful work in engineering disciplines. The book covers a wide range of topics, ranging from the foundations of probability theory and statistics to complex reliability analysis methods such as Monte Carlo methods and risk management systems. This makes it an indispensable resource for engineers, researchers and students seeking to deepen their knowledge in this important field. One of the key features of the book is its practical focus. The authors not only outline theoretical concepts, but also demonstrate how these concepts can be applied to real engineering problems. Readers will be able to see how mathematical models help in assessing the reliability of various systems - from electronics to vehicles and power plants. This makes the book particularly relevant to those working in areas such as engineering, aerospace, and information technology. The book will be of interest to both senior students of technical universities and practicing engineers who want to update their knowledge or master new methods. It can also be useful for project managers working in the field of development and implementation of new technologies, where the reliability of systems is critical. Readers interested in the topics of quality management, risk analysis and process optimization will find in this publication many useful ideas and approaches. The topics raised in the book cover not only mathematical aspects, but also philosophical issues related to reliability. The authors discuss how reliability affects society as a whole, and how engineering solutions can be adapted to improve safety and efficiency. This creates an opportunity for in-depth reflection on the role of engineers in today's world and how their work can change people's lives for the better. The style of the authors is distinguished by clarity and accessibility, which makes complex mathematical concepts understandable even for those who are just beginning to get acquainted with this topic. The book is replete with examples and illustrations, which allows readers to better absorb the material and apply it in practice. In addition, the team of authors includes experts with extensive experience in various fields, which gives the book additional value and diversity. If you are looking for literature that will help you understand the mathematical theory of reliability and its engineering applications, then the "Mathematical theory of reliability and its engineering applications" will be an excellent choice for you. This book will not only enrich your knowledge, but also inspire new ideas and approaches in your professional activities. Read, learn and apply the knowledge gained in practice - and you will see how reliability can become your key competitive advantage