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This work reflects the problems of computing using the advanced and contemporary mathematical means. Material is subdivided in two parts and is approved in practice of teaching at NRNU "MEPhI", MIPT and several other educational institutions of the country. The 1st part represents the outlook of computations, which is achieved by the adoption of the atomistic doctrine for the selected reference system of primary objects. This part is intended for the advanced learners of discrete mathematics (DM) and fundamental basics of information technologies (FBIT), it is suitable for developing the intuition, which helps to the successful navigation across the world with apparent abundance and variety of the newly developed and readymade ITsolutions. The 2nd part gives the educational and methodical complex of corresponding discipline (EMCD), equipped with base textbooks, complemented by a series of monographs and by media and environments for studying the computations with the objects.
Material is intended for the instructor, the graduate student and the student of ITspecialties and is the readymade solution for the universities and the system of training and advancing the qualification of specialists.
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