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JOURNALS // Chebyshevskii Sbornik // Archive

Chebyshevskii Sb., 2019 Volume 20, Issue 3, Pages 437–452 (Mi cheb824)

HISTORY OF MATHEMATICS AND APPLICATIONS

G. M. Fikhtengol'ts and the teaching of the mathematical analysis in the Russia during the first half of the XXth century

S. S. Demidov, S. S. Petrova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We discuss the evolution of the course of the mathematical analysis in the Russian universities during the first half of the XXth century and the role in this process of the professor of the Leningrad University G. M. Fikhtengol'ts (1888–1959), who was the author of the classical works — of the three-volume treatise «Differential and Integral Calculus» (1947–1949) and of the two-volumes text-book «The Fundamentals of Mathematical Analysis» (1955–1956).

Keywords: Weierstrass' reform of the mathematical analysis, theory of real numbers, integrals depended from parameters.

UDC: 51(091)

Received: 03.10.2019
Accepted: 12.11.2019

DOI: 10.22405/2226-8383-2018-20-3-437-452



© Steklov Math. Inst. of RAS, 2024