Translated from English by L.A. Raikova. Edited by Prof. A.O. Gelfond. Moscow - Leningrad GTTI. 1933. 212 p. Hardcover, enlarged format. William Vernon Lovitt (1918-1972) was an American mathematician who published many mathematical articles and five books, this monograph (1924) is the second in this series. Alexander Osipovich Gelfond (October 11 (24), 1906, St. Petersburg - November 7, 1968, Moscow) - Soviet mathematician, corresponding member of the Academy of Sciences of the USSR. Known for his work on number theory, as well as solving the seventh problem of Hilbert. He worked at the Moscow State University (1931-1968) and the Mathematical Institute of the Academy of Sciences of the USSR (1933-1968). In 1924 he entered the Physics and Mathematics Faculty of Moscow University, which he graduated in 1927. Under the leadership of A. J. Khinchin and V. V. Stepanova continued his studies in graduate school, which he graduated in 1930. In 1929-1930 he taught at MVTU. As a graduate student, he published in 1929 a partial solution to Hilbert's seventh problem. In 1931 he began working at the Physics and Mechanics Faculty of Moscow State University (after the reorganization of the structure of Moscow State University in April 1933 - at the Mechanics and Mathematics Faculty of Moscow State University). Since 1933, Gelfond also worked at the Institute of Physics and Mathematics, then - the department of number theory of the Mathematical Institute named after V. A. Steklov of the USSR Academy of Sciences (one of the first employees). In these two organizations, he continued his work until the end of his life. Circulation 3150 copies.