Relations between Polish and Moscow mathematicians in the first half of the XXth century

G. S. Smirnova

Čebyševskij sbornik, Tome 20 (2019) no. 3, pp. 494-505.

Résumé

The article is devoted to the appearance of the famous Warsaw mathematical School of V. Sierpinski and Lviv School of Functional Analysis of S. Banach. These schools have played an important role in the development of new areas of mathematics in the first half of the 20th century. Particular attention is paid to the interrelations between Polish and Moscow mathematicians in the period between the two world wars. Most of their outstanding results, especially in topology, Moscow scientists published in the newly created Polish mathematical journals. The leaders of the schools constantly maintained close friendly relations, as evidenced by the surviving letters of N. N. Luzin and V. Sierpinsky, P. S. Uryson and K. Kuratovsky, N. K. Bari and A. Rajchman, in which, among others, the organization of mathematical research was discussed. The participation of Polish scientists in the work of several important mathematical forums held at that time in the USSR was covered: the First Congress of Mathematicians of the USSR in Kharkov (1930), the International Conference on Differential Geometry and Tensor Analysis (Moscow, 1934) and the International Topological Conference (Moscow, 1935). It is noted that in Moscow and in Polish universities in the first half of the 20th century scientific student seminars were starting to work, the themes of which also have indicated the constant interest of both Polish and Moscow mathematicians in their colleagues research.

Détail

Keywords: history of Mathematics, Polish mathematical school, Moscow mathematical school.

Bibliographie

[1] Alexandrov P. S., “Introduction”, Uspekhi Mathematicheskikh Nauk, 34:6 (210) (1979), 11–13

[2] Demidovich V. B., “Interview with M. I. Vishik”, Mekhmatiane vspominaiut, M., 2008, 68–91

[3] Melnikov I. G., “Outstanding Polish mathematician Vaclav Serpinsky (on the occasion of his 85th birthday)”, Serpinsky V. 250 problems of the elementary theory of numbers, M., 1968, 3–13 | MR

[4] “Letters of N. N. Luzin to A. Denjoy”, Istoriko-matematicheskie issledovanija, 23, M., 1978, 314–348 | MR

[5] “Letters of V. Serpinski to N. N. Luzin”, Istoriko-matematicheskie issledovanija, 24, M., 1979, 366–373 | Zbl

[6] Sierpinski V., “Mathematics in Poland”, Matematicheskoe prosveshchenie, 4, M., 1959, 87–93

[7] Sinkevich G. I., Georg Cantor Polish School of Mathematics, Saint Petersburg, 2012

[8] Proceedings of the First Congress of Mathematicians of the USSR (Kharkov, 24–29 June, 1930), M.–L., 1936

[9] B. F. Kagan (ed.), Proceedings of the seminar on vector and tensor analysis with their applications to geometry, mechanics and physics, IV, M.–L., 1937

[10] Aleksandrow P. S., “O pewnych przejawach współpracy polskiej i radzieckiej szkoły matematycznej w dziedzinie topologii i teorii mnogości”, Wiadomości Matematyczne, 6:2 (1963), 175–180 | MR

[11] Bogatov E., “Key moments of the mutual influence of the Polish and Soviet schools of nonlinear functional analysis in the 1920s–1950s”, Antiquitates Mathematicae, 11:1 (2017), 131–156 | MR | Zbl

[12] Duda R., “Leaders of Polish mathematics between the two world wars”, Commentationes Mathematicae. Wroclaw, 53:2 (2013), 5–12 | MR

[13] Ingarden R. S., “Juliusz Schauder — personal reminiscences”, Topological Methods in Nonlinear Analysis Journal of the Juliusz Schauder Center, 2:1 (1993), 1–14 | MR | Zbl

[14] Janishewski Z., “O potrzebach matematyki w Polsce”, Nauka Polska, v. 1, 1918, 11–18

[15] Leray J., Schauder J., “Topologie et équations fonctionnelles”, Annales scientifiques de l'École Normale Supérieure. Sér. 3, 51 (1934), 45–78 | MR

[16] Murawski R., The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland, Springer, Basel, 2014 | MR | Zbl

[17] Przeniosło M., “Kontakty naukowe polskich i rosyjskich matematyków w dwudziestoleciu miȩdzywojennym”, Studia z Dziejów Rosji i Europy Srodkowo-Wschodniej, XLIX:1 (2014), 115–129

[18] Przeniosło M., “Szkoły matematyczne w miȩdzywojennej Polsce i ich zwia̧zki z nauka̧ światowa̧”, Przegla̧d Nauk Historycznych, XV:2 (2016)

[19] Reid C., Neyman – from Life, Springer-Verlag, New York–Heidelberg–Berlin, 1982 | MR | Zbl

[20] Sierpiński W., “Georgij Woronoj”, Wiadomości Matematyczne, 13:1–4 (1909), 115–117

[21] Ulam S., Adventures of a Mathematician, Berkeley, 1976 | MR | Zbl

[22] Who's Who in Polish America, Harbinger House, New York, 1943

[23] Wundheiler L., Wundheiler A., “Some logical concepts for syntax”, Machine translation of languages, 14, John Wiley Sons, New York; The Technology Press, 1955, 194–207

[24] Zygmund A., “Aleksander Rajchman (1890–1940)”, Wiadomości Matematyczne, XXVII (1987), 219–231 | MR | Zbl