Abstract: It is possible to consider computation, communication and networking on three levels. The first level indicates what is done in a computational/communication process or in a process in a network. From this perspective, processes are represented as sequences of events or actions. The mathematical theory that studies processes on this level is process algebra.
The second level tells us not only what is done in a computational/communication process or in a process in a network but also how it is done. From this perspective, processes are represented by algorithms, programs, and scenarios. The major mathematical theory that studies processes on this level is the theory of algorithms.
The third level of process description explains us not only what is done in a process and how it is done but also with what means everything is performed in the process. From this perspective, processes are represented by technologies. The major mathematical theory that studies processes on this level is the mathematical theory of technology. This theory has developed a general mathematical model of technology and technological processes, as well as a relevant mathematical apparatus and exact methods for an investigation and design of various technologies (in computation, computer and network industry, management, information processing, education, and so on).
The mathematical theory of technology utilizes new mathematical disciplines such as theory of named sets, fuzzy set theory, and theory of structured multidimensional models of systems and processes as well as traditional fields such as algebra, theory of probabilities, and theory of algorithms.
In the mathematical theory of information technology such problems as reliability, equivalence, stability, constructibility, and realizability of information technologies are studied. The aim is the development of efficient methods and algorithms of the computer aided design of information technologies. In the lecture, elements of the mathematical theory of technology will be exposed and it will be demonstrated how this theory can help in solving problems of information technology.

Brief Biography of the Speaker:
Dr. Mark Burgin received his M.A. and Ph.D. in mathematics from Moscow State University and Doctor of Science in logic and philosophy from the National Academy of Sciences of Ukraine. He is currently a Visiting Scholar at UCLA, USA. Previously he was a Professor at Institute of Education, Kiev; at International Solomon University, Kiev; at Kiev State University, Ukraine; and Director of the Assessment Laboratory in the Research Center of Science at the National Academy of Sciences of Ukraine. Dr. Burgin is a member of New York Academy of Sciences and an Honorary Professor of the Aerospace Academy of Ukraine. He is a Chief Editor of the journal Integration and Associate Editor of the International Journal on Computers and their Applications. Dr. Burgin is a member of the Science Advisory Committee at Science of Information Institute, Washington. He was a member of organizing and program committees of more than 30 conferences. He also organized and directed several ongoing research seminars in mathematics and computer science, such as Theoretical Computer Science (UCLA), Foundations of Mathematics and Information Sciences (National Academy of Sciences of Ukraine) and Creativity in Education (Ministry of Education of Ukraine). Dr. Burgin is doing research, has publications, and taught courses in mathematics, computer science, information sciences, system theory, artificial intelligence, software engineering, logic, psychology, education, social sciences, and methodology of science. He originated such theories as the mathematical theory of technology, system theory of time, general information theory, theory of named sets, and neoclassical analysis (in mathematics) and made essential contributions to such fields as foundations of mathematics, theory of algorithms, theory of knowledge, theory of intellectual activity, and complexity studies. His practical experience includes design of operating systems for supercomputers, CAD systems for electrical engineering and problem oriented languages for such systems, databases for biological information, and general expert systems, as well as mathematical modeling databases and expert systems. Dr. Burgin has authorized and co-authorized more than 500 papers and 17 books, including “Neoclassical Analysis: Calculus Closer to the Real World” (2008), “Super-recursive Algorithms” (2005), “On the Nature and Essence of Mathematics” (1998), “Intellectual Components of Creativity” (1998), “Fundamental Structures of Knowledge and Information” (1997), “Introduction to the Modern Exact Methodology of Science“ (1994), “The Structure-Nominative Analysis of Theoretical Knowledge (1992), and “The World of Theories and Power of Mind” (1992).