The book outlines a new, fairly general and effective approach to the problems of measurement, coding and control. For the first time, the basis of the scale definitions, Units of measurement, standards and mathematical interpretations of interdisciplinary measurement theories , coding and control put fundamental analysis designs - Cartan filters, orientations (summarized sequences) of Moore and Smith, Methods of Set Theory , Topology and Functional Analysis . The results obtained are applicable to the construction of scales and the creation of standards in the most diverse classical and non-classical areas of modern metrology and control theory, in mathematical and technical physics. For a wide range of specialists and researchers using modern information technologies in the field of natural, technical, biological and social sciences, as well as for graduate students and students of higher educational institutions .