KOLMOGOROV, ANDREI NIKOLAEVICH

Über die Summen durch den Zufall bestimmter unabhängiger Grössen.

Berlin, Springer, 1928. Royal8vo. Bound in recent blue/green full cloth with gilt lettering to spine. In "Mathematische Annalen", 99, 1928. A very nice and clean copy, near mint. Pp. 309-319. [Entire volume: IV, 751, (1) pp].

First printing Kolmogorav's famous paper in the convergence of sums of independent random variables.

"Kolmogorov's publishing his celebrated three-series theorem (the present), which gives necessary and sufficient conditions for the convergence of sums of independent random variables, to his discovering necessary and sufficient conditions for the strong law of large numbers and to his proving the law of the iterated logarithm for sums of independent random variables. His 1931 paper, on continuous time Markov processes with continuous states, is widely regarded as having laid the foundations of modern diffusion theory. His 1949 work, Limit Distributions for Sums of Independent Random Variables, co-authored with B. V. Gnedenko, was for many years the standard source on the central limit theorem and surrounding topics." (DSB)

Andrey Nikolaevich Kolmogorov was a Soviet mathematician, preeminent in the 20th century, who advanced various scientific fields, among them probability theory, topology, intuitionistic logic, turbulence, classical mechanics and computational complexity.

Order-nr.: 47253