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JOURNALS // Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy // Archive

Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024 Volume 11, Issue 4, Pages 605–626 (Mi vspua320)

TO THE 300TH ANNIVERSARY OF SPSU

About the role of St. Petersburg in the formation of mathematical analysis

A. D. Baranov, A. A. Lodkin, A. N. Podkorytov, N. A. Shirokov

St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation

Abstract: The article discusses the main stages in the development of mathematical analysis in St. Petersburg in the 18th and 19th centuries. Brief biographical information and a description of the most important results of outstanding representatives of the St. Petersburg mathematical school - L. Euler, M. V. Ostrogradsky, V. Ya. Bunyakovsky, P. L.Chebyshev, Yu. V. Sokhotski, A. A. Markov - are presented.

Keywords: summation of series, integration, continued fractions, approximation theory, orthogonal polynomials.

UDC: 517.31, 517.38, 517.51, 517.53

MSC: 01A50, 01A55, 33B15, 33C45, 41A17

Received: 18.02.2024
Revised: 02.05.2024
Accepted: 23.05.2024

DOI: 10.21638/spbu01.2024.401



© Steklov Math. Inst. of RAS, 2025