Essay of history of topological education in Nizhny Novgorod

G. M. Polotovskiy

Čebyševskij sbornik, Tome 22 (2021) no. 1, pp. 447-459.

Résumé

The history of the development of topological education in Nizhny Novgorod is described — from the first lecture on topology for schoolchildren, given in 1939 by Professor A.G. Mayer, to the present. The need for knowledge of topology for further research was first understood in Nizhny Novgorod by representatives of the school of academician A.A. Andronov on the theory of nonlinear oscillations and the qualitative theory of differential equations. An important moment was organization by S.I. Alber in 1964 Gorky topological school, in which many outstanding mathematicians took part (D.V. Anosov, M.L. Gromov, S.P. Novikov, Y.G. Sinai, etc.) However, the specialist in real algebraic geometry, Professor D.A. Gudkov, became the "motor" for introducing topology into the educational process. This activity took place in close cooperation with Leningrad Professor V.A. Rokhlin and his students O.Ya. Viro and V.M. Kharlamov.

Détail

Keywords: Nizhny Novgorod, topological education, A.G. Mayer, S.I. Alber, D.A. Gudkov, V.A. Rokhlin.

Bibliographie

[1] Listing I.B., Predvaritelnye issledovaniya po topologii, Gostekhizdat, M.–L., 1932, 116 pp.

[2] N.B. Kuznetsova (sost.), Ivan Romanovich Braitsev. Seriya «Lichnost v nauke», Izd-vo NNGU, N. Novgorod, 2004, 192 pp.

[3] Polotovskii G.M., “Nizhegorodskii matematik Artemii Grigorevich Maier i ego kurs istorii matematiki”: Polotovskii G.M., Ocherki istorii rossiiskoi matematiki, Izd-vo Nizhegorodskogo gosuniversiteta, N. Novgorod, 2015, 210–294, 320 pp.

[4] Polotovskii G.M., “Nizhegorodskii matematik Artemii Grigorevich Maier i ego kurs istorii matematiki”, Sem iskusstv, 2015, no. 2(60) http://7iskusstv.com/2015/Nomer2/Polotovsky1.php

[5] Aleksandrov P.S., “Puankare i topologiya”, UMN, 27:1(163) (1972), 147–158 | MR | Zbl

[6] Syrkin P.E., Pechal i radost prozhitykh godov, Izd-vo Nizhegorodskogo universiteta, N. Novgorod, 2016, 160 pp.

[7] Gordon E.I., “Adresat L.S. Pontryagina - I.I. Gordon (Vstupitelnye zametki)”, Istoriko-matematicheskie issledovaniya. Vtoraya seriya, 2005, no. 9(44), 14–208 ; Семь искусств, 2011, No 11(24) http://7iskusstv.com/2011/Nomer11/EGordon1.php | MR

[8] Khopf Kh., “Nekotorye lichnye vospominaniya, otnosyaschiesya k predystorii sovremennoi topologii”, UMN, 21:4 (130) (1966), 8–16 | MR

[9] Dubovitskii F.I., Institut khimicheskoi fiziki (ocherki istorii), Nauka, M., 1996, 983 pp.

[10] Gordon E.I., “Dmitrii Andreevich Gudkov v moei zhizni”, Sem iskusstv, 2018, no. 9 (102) http://7i.7iskusstv.com/2018-nomer9-egordon/

[11] Vishik M.I., Novikov S.P., Postnikov M.M., “Gorkovskii matematicheskii seminar po gomotopicheskoi topologii”, UMN, 19:3(120) (1964), 237–238

[12] Dmitrii Andreevich Gudkov: dokumenty – perepiska – vospominaniya, Seriya «Lichnost v nauke. KhKh vek. Lyudi. Sobytiya. Idei», ed. G.M. Polotovskii, NNGU im. N.I. Lobachevskogo, N. Novgorod, 2018, 332 pp.

[13] Gudkov D.A., “Polnaya topologicheskaya klassifikatsiya raspolozheniya ovalov krivoi 6-go poryadka v proektivnoi ploskosti”, Uchenye zap. Gorkovskogo universiteta, 1969, no. 87, 118–153

[14] Gudkov D.A., O topologii ploskikh algebraicheskikh krivykh, Diss. ... dokt. fiz.-mat. nauk, Gorkii, 1969, 351 pp. | Zbl

[15] Maren A., “Neskolko zamechanii o veschestvennykh ploskikh algebraicheskikh krivykh”, V poiskakh utrachennoi topologii, Mir, M., 1989, 162–172, 293 pp.

[16] Gudkov D.A., “Topologiya veschestvennykh proektivnykh algebraicheskikh mnogoobrazii”, UMN, 29:4(178) (1974), 3–79 | MR | Zbl

[17] Borisovich Yu.G., Bliznyakov N.M., Izrailevich Ya.A., Fomenko T.N., Vvedenie v topologiyu, Uchebn. posobie dlya vuzov, Vyssh. shkola, M., 1980, 295 pp. | MR