G. M. Fikhtengol'ts and the teaching of the mathematical analysis in the Russia during the first half of the XXth century
Čebyševskij sbornik, Tome 20 (2019) no. 3, pp. 437-452.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{CHEB_2019_20_3_a30,
     author = {S. S. Demidov and S. S. Petrova},
     title = {G. {M.} {Fikhtengol'ts} and the teaching of the mathematical analysis in the {Russia} during the first half of the {XXth} century},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {437--452},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2019_20_3_a30/}
}
TY  - JOUR
AU  - S. S. Demidov
AU  - S. S. Petrova
TI  - G. M. Fikhtengol'ts and the teaching of the mathematical analysis in the Russia during the first half of the XXth century
JO  - Čebyševskij sbornik
PY  - 2019
SP  - 437
EP  - 452
VL  - 20
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CHEB_2019_20_3_a30/
LA  - ru
ID  - CHEB_2019_20_3_a30
ER  - 
%0 Journal Article
%A S. S. Demidov
%A S. S. Petrova
%T G. M. Fikhtengol'ts and the teaching of the mathematical analysis in the Russia during the first half of the XXth century
%J Čebyševskij sbornik
%D 2019
%P 437-452
%V 20
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CHEB_2019_20_3_a30/
%G ru
%F CHEB_2019_20_3_a30
S. S. Demidov; S. S. Petrova. G. M. Fikhtengol'ts and the teaching of the mathematical analysis in the Russia during the first half of the XXth century. Čebyševskij sbornik, Tome 20 (2019) no. 3, pp. 437-452. http://geodesic.mathdoc.fr/item/CHEB_2019_20_3_a30/

[1] Volkov V. A., Demidov S.S, “Two letters of N. N. Luzin to M. Ya. Vygodsky”, Istoriko-matematicheskie issledovaniya, 2-series, 1997, no. 2(37), 133–152 | Zbl

[2] Smirnov V. I., Kantorovich L. V., Natanson I. P., “Grigory Mikhailovich Fichtenholz (to the sixtieth anniversary of the birth)”, Russian mathematical surveys, 3:5 (1948), 179–181

[3] Smirnov V. I., Kantorovich L. V., Natanson I. P., “Grigory Mikhailovich Fichtenholz (to the sixtieth anniversary of his birth)”, Vestnik LSU, 1948, no. 6, 133–135

[4] Kantorovich L. V., Natanson I. P., “Grigory Mikhailovich Fichtenholz (to the seventieth anniversary from birthday)”, Vestnik LSU, 1958, no. 7, 5–13 | Zbl

[5] Kantorovich L. V., Natanson I. P., “Grigory Mikhailovich Fichtenholz (obituary)”, Russian mathematical surveys, 14:5 (1959), 123–128 | MR

[6] Alexandrov A. D., Akilov G. P., “Grigory Mikhailovich Fichtenholz (obituary)”, Vestnik LSU, 1959, no. 4(19), 158–159

[7] Vinogradov S. A., Vladimirov D. A., “Grigory Mikhailovich Fichtenholz (to the centenary of birth)”, Vestnik LSU, 1988, no. 3(15), 3–6

[8] Bogachev V. I., “About the works of G. M. Fichtenholz on the theory of the integral”, Istoriko-matematicheskie issledovaniya, ser. 2, 2005, no. 9(44), 252–264 | Zbl

[9] Chebotarev N. G., “Samuil Osipovich Shatunovskii”, Russian mathematical surveys, 1940, no. 7, 316–321

[10] Voronovsky S. S., “To the scientific biography of G. M. Fichtenholz”, Annual Conference of the Institute of Natural History and Technology S.I. Vavilova (2010), Janus-K, M., 2011, 297–299

[11] Voronovsky S. S., “Evolution of the course of mathematical analysis K. A. Posse”, Annual Conference of the Institute of Natural History and Technology S.I. Vavilova (2011), Janus-K, M., 2011, 322–324

[12] Sergeyev A. A., Konstantin Alexandrovich Posse (1847–1928), Nauka, M., 1997 | MR

[13] Cesaro E., Elementary tutorial of algebraic analysis and calculus of infinitesimal with numerous examples for exercise, Translation from German with notes and additions by Professor K. A. Posse, v. I, Mathesis, Odessa, 1913

[14] Ermolaeva N. S., “New materials to the biography of N. N. Luzin”, Istoriko-matematicheskie issledovaniya, 1989, no. 31, 191–203 | MR | Zbl

[15] Grekova I., Wentzel R. P., Epstein H. I., “Leningrad University in the 20s (essay)”: E. S. Wentzel, I. Grekova. To the centenary of birth, Yunost, M., 2007, 18–37