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Ivan Ivanovich Zhegalkin (Russian: Ива́н Ива́нович Жега́лкин; 3 August 1869, Mtsensk – 28 March 1947, Moscow) was a Russian and Soviet mathematician. He is best known for his formulation of Boolean algebra as the theory of the ring of integers mod 2, via what are now called Zhegalkin polynomials.
Zhegalkin was professor of mathematics at Moscow State University. He helped found the thriving mathematical logic group there, which became the Department of Mathematical Logic established by Sofya Yanovskaya in 1959. Reminiscing on his student days, Nikolai Luzin recalls Zhegalkin as the only professor he was not afraid of.
- Жега́лкин [Zhegalkin], Ива́н Ива́нович [Ivan Ivanovich] (1927). "O Tekhnyke Vychyslenyi Predlozhenyi v Symbolytscheskoi Logykye" О технике вычислений предложений в символической логике [On the technique of calculating propositions in symbolic logic (Sur le calcul des propositions dans la logique symbolique)]. Matematicheskii Sbornik (in Russian and French). 34 (1). Moscow, Russia: 9–28. Mi msb7433. Archived from the original on 2017-10-12. Retrieved 2017-10-12.
- Жега́лкин [Zhegalkin], Ива́н Ива́нович [Ivan Ivanovich] (1928). "Арифметизация Символической Логики" [The arithmetization of symbolic logic (L'arithmetisation de la logique symbolique)]. Matematicheskii Sbornik (in Russian and French). 35 (3–4). Moscow, Russia: 311–377. Mi msb7400. Archived from the original on 2017-10-12. Retrieved 2017-10-12.
- Владимиров [Vladimirov], Д. А. [D. A.] (1969). булевы алгебры [Boolean algebras] (in Russian). Наука [Nauka]. p. 318.
- Владимиров [Vladimirov], Д. А. [D. A.] (1974) [1972]. Eisenreich, G. (ed.). Boolesche Algebren [Boolean algebras] (in German). Berlin, Germany: Akademie-Verlag. (NB. German translation of булевы алгебры, 1969.)
- Volkov, V. A. (1997). "Two letters of N. N. Luzin to M. Ya. Vygodskiǐ". Historico-Mathematical Investigation. 2: 133–152.
- Колягин, Ю. М.; Саввина, О. А. (2010). Дмитрий Федорович Егоров - Путь ученого и христианина [Mitry Fedorovich Egorov - The way of the scientist and the christian] (in Russian). Moscow, Russia: ПСТГУ. p. 302. ISBN 978-5-7429-0611-7. (NB. Circulation: 1000.)
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