Mathematical theory of information technology

A theoretical framework for a technological study of information processes, mathematical theory of information technology, is developed based on system theory principles. In the mathematical theory of information technology such problems as reliability, equivalence, stability, robustness, and realizability of information technologies are studied. Concepts of a technological operator, composition of technological operators, and technological conditions are considered for computational processes and systems. Their mathematical models are developed and studied from the perspective of information technology quality. Classes of technological operators are separated based on practical problems. Relations between technological operators are studied. The aim is the development of efficient methods and algorithms for computer hardware engineers, software engineers and system engineers.