The book "Mathematical modeling of equipment and tools" by Mikhailov M. and . It is an indispensable guide for those who seek to understand the complex mechanisms of the modern engineering and technological world through the prism of mathematical methods. This book is intended for engineers, automation specialists, students of technical universities and anyone interested in the application of mathematical modeling in the development, operation and optimization of equipment and tools. Mikhailov M. and . In his work, he reveals to the reader the wealth of opportunities that the use of mathematical models opens up for analyzing and predicting the behavior of complex technical systems. The focus is on modeling methods that allow not only to understand the current characteristics of the equipment, but also to predict its operation in various conditions, increase efficiency and reduce costs. The author masterfully combines theoretical foundations with practical aspects, demonstrating how mathematical tools help solve real engineering problems, whether it is the automation of production lines, the development of new tools or the optimization of maintenance processes. This book will be especially useful for those who are already familiar with the basics of mathematics and engineering, but want to deepen their knowledge in the field of modeling. It is perfect for senior students, graduate students, design engineers and maintenance professionals looking for practical solutions to improve the efficiency of their projects. For readers interested in modern technologies of automation and digitalization of production, “Mathematical modeling of equipment and tools” will open new horizons of understanding processes and methods of their optimization. Mikhailov M. and . in his book raises topical topics related to dynamic systems modeling, reliability analysis, parameter optimization and technical management. Particular attention is paid to the construction of mathematical models, their verification and use for decision-making. The author uses a clear and accessible style, which makes complex concepts understandable even for those who are just starting their way in the field of engineering sciences. At the same time, the book is saturated with examples and practical recommendations, which makes it a valuable tool for professional activities. Style Mikhailov M. and . is distinguished by accuracy and logical harmony, which helps the reader not only to master the theoretical foundations, but also to learn how to apply them in practice. In his other well-known works, such as "Automation and Control of Technical Systems", the author demonstrates a deep understanding of modern technologies and their mathematical substantiation. This book continues his tradition of making complex simple and understandable, turning theory into a practical tool. If you are looking for a book that will help you understand how mathematical models can transform approaches to the design and operation of equipment, “Mathematical modeling of equipment and tools” will be a godsend for you. It is not just a textbook it is the key to modern methods of engineering analysis and optimization, which will open up new opportunities for professional growth and development. In the era of digitalization and automation, such knowledge becomes especially valuable, and Mikhailov's book M. and . A reliable helper along the way .