By Vladimir M. Tikhomirov
The Praesidium of the USSR Academy of Sciences has determined to submit 3 volumes of chosen Works of A.N. Kolmogorov, essentially the most well known mathematicians of the 20 th century. The artistic paintings of A.N. Kolmogorov is outstandingly flexible. In his reports on trigonometric and orthogonal sequence, idea of degree and inte gral, mathematical common sense, approximation idea, geometry, topology, sensible research, classical mechanics, ergodic thought, superposition of services, and in formation conception, many conceptual and basic difficulties have been solved and new questions have been posed which gave upward push to a number of investigations. A.N. Kolmogorov is likely one of the founders of the Soviet institution of chance concept, mathematical information, and the idea of turbulence. In those parts he received a couple of uncomplicated effects, with many purposes to mechanics, geophysics, linguistics, biology and different branches of information. This variation comprises crucial papers through A.N. Kolmogorov on arithmetic and usual technology. It doesn't contain philosophical and ped agogical stories of A.N. Kolmogorov, his articles written for the "Bol'shaya Sov'etskaya Entsiklopediya", papers on prosody and diverse purposes of arithmetic and courses on normal questions. the fabric of this variation was once chosen and grouped by way of A.N. Kolmogorov.