The textbook is devoted to the presentation of the analytical theory of thermal conductivity and methods of non-destructive testing of thermophysical characteristics of materials, it contains elements of mathematical modeling, statistics, metrology, etc. , allowing a deeper understanding of the role of processing primary information, the need to automate the processes of measurement and use of modern mathematical support. Complex solution to the problem of controlling the thermophysical properties of materials require the use of microprocessor technology and computer technology