The book describes the methods of calculation, modeling and optimization of cryogenic devices: regenerative and regenerative heat exchangers, evaporator capacitors, rectification columns, adsorbers . The questions are covered - determination of kinetic parameters of heat and mass processes described by differential equations, calculation of quasi-stationary modes of operation of heat exchanger systems, application of information theory in calculations of rectification columns. The actual materials, examples illustrating the described methods, and programs for computers in the PL/1. language are given. The book is intended for engineering and post-graduate students engaged in the development, research and application of cryogenic installations, will be useful to university students studying relevant specialties.