Moscow: Gosudarstvennoye uchebno-pedagogicheskoye izdatel’stvo, 1937. Item #1554
136 pp.: tables. 22x15.1 cm. In original publisher’s cloth binding. Boards are slightly worn. Otherwise near fine.
Scarce. First edition. Edited by V. Molodshy. Technical editor V. Ivanov. An important Soviet work about probability theory used as a textbook for higher pedagogical educational institutions in the late-1930s. The edition was compiled by the noted Soviet Ukrainian mathematician and logician Valery Glivenko (1897-1940) in 1937. Three years after graduating from Moscow University (1925), Valery started working as a professor at K. Liebknecht Moscow Pedagogical Institute, holding this position until the end of his life in 1940. Glivenko’s main works were devoted to logic, the foundations of mathematics, the theory of functions of a real variable, and, importantly, the theory of probability. In 1928, Valery began to investigate random variables in function spaces, proving for them the theorem on the law of large numbers. Five years later, on this basis, he formulated and proved a theorem on the convergence of empirical distribution functions to the true one with an increase in the number of independent observations. This theorem was largely сhristened as the fundamental theorem of statistics. As a result, Glivenko’s name has become closely associated with contributors to the modern development of probability theory.
Published in 1937, the textbook contains the main questions of the course «Probability Theory», starting with an intuitive approach to the concepts of a random event and probability and ending with elements of mathematical statistics. The edition consists of 6 sections and two appendixes, providing detailed information on Glivenko’s main theorems in probability theory (including the theorem on the law of large numbers). The work was approved by the All-Union Committee for Higher Education under the Council of People’s Commissars of the USSR as a textbook for higher pedagogical educational institutions.
Worldcat shows copies of the edition at UC Berkeley Libraries and University of California.
Price: $250.00Status: On Hold