This book covers a wide range of mathematical and software tools used across various subsystems of automated design and control of technical systems. It explores mathematical methods applied in engineering calculations, as well as software environments employed in the automated design of technological equipment. The text also delves into the theoretical foundations for determining operational and structural characteristics of technological machinery, along with techniques for remote analysis of chemical-technological facilities. Additionally, it discusses interactive 3D modeling technologies used in creating virtual training simulators and more. Designed for university students specializing in the field of "Design of Technological Machines and Complexes" (program code 151701), as well as postgraduate researchers working on optimal design and management of technical systems, this book serves as a comprehensive resource for advancing expertise in modern automation and engineering design.