Nikolai Günther

Nikolai Maximovich Günther (Russian: Николай Максимович Гюнтер, also transliterated as Nicholas M. Gunther[1] or N. M. Gjunter[2]) (December 17 [O.S. December 5] 1871 – May 4, 1941) was a Russian mathematician known for his work in potential theory and in integral and partial differential equations: later studies have uncovered his contributions to the theory of Gröbner bases.[2]

Nikolai Maximovich Günther
Николай Максимович Гюнтер
Born	December 17, 1871 Saint Petersburg, Russian Empire
Died	May 4, 1941 (aged 69) Leningrad, Soviet Union
Nationality	Russian, Soviet
Alma mater	Saint Petersburg University
Scientific career
Fields	Integral equations Potential theory Partial differential equations
Institutions	Saint Petersburg University
Doctoral advisor	Andrey Markov

He was an Invited Speaker of the ICM in 1924 at Toronto,[3] in 1928 at Bologna,[4][5] and in 1932 at Zurich.

Selected publications

• Gunther, N. (1932), "Sur les intégrales de Stieltjes et leurs applications aux problèmes de la physique mathématique", Travaux de l'Institute Physico-Mathématique Stekloff (in French), 1: 1–494, JFM 58.1058.01, MR 0031037, Zbl 0006.29703. A large paper aimed at showing the applications of Radon integrals to problems of mathematical physics: the Mathematical Reviews review refers to a 1949 reprint published by the Chelsea Publishing Company.
• Günther, N. M. (1933), "Sur les opérations linéaires", Physikalische Zeitschrift der Sowjetunion, 3: 115–139, JFM 60.1075.03, Zbl 0008.16601.
• Gunther, N. M. (1934), La théorie du potentiel et ses applications aux problèmes fondamentaux de la physique mathématique, Collections de monographies sur la théorie des fonctions (in French) (1st ed.), Paris: Gauthier-Villars, p. 303, JFM 60.1127.04, Zbl 0009.11301, reviewed also by Dixon, A. C. (October 1934), "La Théorie du Potentiel et ses applications aux problèmes de la physique mathématique by N. M. Gunther", The Mathematical Gazette, 18 (no. 230): 278, JSTOR 3605383 and by Longley, W. R. (1936), "Review: La Théorie du Potentiel et ses Applications aux Problèmes Fondamentaux de la Physique Mathématique", Bulletin of the American Mathematical Society, 42 (no. 11): 794, doi:10.1090/S0002-9904-1936-06436-0.
• Günther, N. M. (1967) [1934], Potential theory and its applications to basic problems of mathematical physics, New York: Frederick Ungar Publishing, pp. xi+338, MR 0222316, Zbl 0164.41901. The second edition of the monograph (Gunther 1934), now a classical textbook in potential theory, translated from the Russian original Günther, N. M. (1953) [1934], Теория потенциала и ее применение к основным задачам математической физики (in Russian) (2nd ed.), Москва: Государственное Издательство Технико-Теоретческой Литературы, p. 415, Zbl 0052.10504 (edition cured by V. I. Smirnov and H. L. Smolitskii), which was also translated in German as Günter, N. M. (1957) [1934], Die Potentialtheorie und ihre Anwendung auf Grundaufgaben der mathematischen Physik (in German) (2nd ed.), Leipzig: B. G. Teubner Verlagsgesellschaft, pp. X+314, MR 0109958, Zbl 0077.09702.

See also

• Harmonic function
• Integral equation
• Radon measure

Notes

1. (Gunther 1934).
2. (Renschuch et al. 2003).
3. Dresden, Arnold (1925). "The International Congress at Toronto". Bull. Amer. Math. Soc. 31: 1–10. doi:10.1090/S0002-9904-1925-03982-8.
4. Gunther, N. "Sur les intégrales de Stieltjes généralisées." In Atti del Congresso Internazionale dei Matematici: Bologna del 3 al 10 de settembre di 1928, vol. 2, pp. 312–324. 1929.
5. Gunther, N. "Sur le mouvement d'un liquide, enfermé dans un vase qui se deplace." In Atti del Congresso Internazionale dei Matematici: Bologna del 3 al 10 de settembre di 1928, vol. 5, pp. 185–192. 1929.

References

Biographical and general references

• Kurosh, A. G.; Markushevich, A. I.; Rashevskii, P. K., eds. (1948), Математика в СССР за тридцать лет 1917–1947 (in Russian), Москва–Ленинград: Государственное Издательство Физико–Математическои Литературы, p. 1044. The "Mathematics in the USSR during its first thirty years 1917–1947" is an opus describing the developments of Soviet mathematics during the first thirty years of its existence. It consists of several survey articles, authored by Soviet experts and reviewing briefly the contributions of Soviet mathematicians to a chosen field during the years from 1917 to 1947: it was later expanded as the two volume survey (Kurosh et al. 1959a, 1959b).
• Kurosh, A. G.; Vityushkov, V. I.; Boltyanskii, V. G.; Dynkin, E. B.; Shilov, G. E.; Yushkevich, A. P., eds. (1959a), Математика в СССР за сорок лет 1917–1957 (in Russian), Том пербый: Обзорные статьи, Москва: Государственное Издательство Физико–Математическои Литературы, p. 1002, MR 0115874, Zbl 0191.27501. The "Mathematics in the USSR during its first forty years 1917–1957" is an opus in two volumes describing the developments of Soviet mathematics during the first forty years of its existence. This is the first volume, titled "Survey articles" and consists exactly of such kind of articles authored by Soviet experts and reviewing briefly the contributions of Soviet mathematicians to a chosen field, during the years from 1917 to 1957.
• Kurosh, A. G.; Vityushkov, V. I.; Boltyanskii, V. G.; Dynkin, E. B.; Shilov, G. E.; Yushkevich, A. P., eds. (1959b), Математика в СССР за сорок лет 1917–1957 (in Russian), Том второй: Биобиблиография, Москва: Государственное Издательство Физико–Математическои Литературы, p. 819, MR 0115874, Zbl 0191.27501. The "Mathematics in the USSR during its first forty years 1917–1957" is an opus in two volumes describing the developments of Soviet mathematics during the first forty years of its existence. This is the second volume, titled "Biobibliography" (evidently an acronym for biography and bibliography), containing a complete bibliography of works published by Soviet mathematicians during that time period, alphabetically ordered with respect to author's surname and including, when possible, brief but complete biographies of the authors.
• Lorentz, G.G. (2002), "Mathematics and politics in the Soviet Union from 1928 to 1953", Journal of Approximation Theory, 116 (2): 169–223, doi:10.1006/jath.2002.3670, MR 1911079, Zbl 1006.01009. See also the final version available from the "George Lorentz" section of the Approximation Theory web page at the Mathematics Department of the Ohio State University (retrieved on 25 October 2009).
• Smirnov, V. I.; Sobolev, S. L. (1941), Николай Максимович Гюнтер (1871–1941) (некролог), Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya (in Russian), 5 (3): 193–202, Zbl 0060.01512. The 1941 obituary of Nikolai Günther written by Vladimir Smirnov and Sergei Sobolev, including a list of his mathematical works.
• Smirnov, V. I.; Sobolev, S. L. (1967), "A short biography", in Günther, N. M. (ed.), Potential theory and its applications to basic problems of mathematical physics, New York: Frederick Ungar Publishing, pp. 327–336, appendix to the book (Günther 1967).

Scientific references

• Ladyzhenskaya, O. A. (1985), The Boundary Value Problems of Mathematical Physics, Applied Mathematical Sciences, 49, translated by Lohwater, Jack, Berlin–Heidelberg–New York: Springer Verlag, pp. XXX+322, doi:10.1007/978-1-4757-4317-3, ISBN 0-521-39922-X, MR 0793735, Zbl 0588.35003.
• Renschuch, Bodo; Roloff, Hartmut; Rasputin, Georgij G.; et al. (June 2003) [1986], translated by Abramson, Michael, "Contributions to Constructive Polynomial Ideal Theory XXIII: Forgotten Works of Leningrad Mathematician N. M. Gjunter on Polynomial Ideal Theory", ACM SIGSAM Bulletin, 37 (2): 35–48, doi:10.1145/944567.944569, ISSN 0163-5824, MR 0928797, Zbl 1049.01528. A freely accessible copy is available from the here from the Gröbner Bases Bibliography.