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词条 Nikolai Günther
释义

  1. Selected publications

  2. See also

  3. Notes

  4. References

     Biographical and general references  Scientific references 
{{Infobox scientist
| name = Nikolai Maximovich Günther
| native_name = Николай Максимович Гюнтер
| native_name_lang = Russian
| image =
| image_size =
| alt =
| caption =
| birth_date = {{Birth date|1871|12|17}}
| birth_place = Saint Petersburg, Russian Empire
| death_date = {{Death date and age|1941|05|04|1871|12|17}}
| death_place = Leningrad, Soviet Union
| nationality = Russian, Soviet
| fields = {{plainlist|
  • Integral equations
  • Potential theory
  • Partial differential equations}}

| workplaces = Saint Petersburg University
| patrons =
| alma_mater = Saint Petersburg University
| thesis_title =
| thesis_url =
| thesis_year =
| doctoral_advisor = Andrey Markov
| academic_advisors =
| doctoral_students =
| notable_students =
| known_for =
| influences =
| influenced =
| awards =
| signature =
| signature_alt =
| website =
| footnotes =
| spouse =
| children =
}}Nikolai Maximovich Günther ({{lang-ru|Николай Максимович Гюнтер}}, also transliterated as Nicholas M. Gunther[1] or N. M. Gjunter[2]) ({{OldStyleDate|December 17|1871|December 5}} – 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]

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

  • {{Citation

|last =Gunther
|first =N.
|author-link =
|title =Sur les intégrales de Stieltjes et leurs applications aux problèmes de la physique mathématique
|journal =Travaux de l'Institute Physico-Mathématique Stekloff
|volume = 1
|pages =1–494
|year =1932
|language =French
|url =http://mi.mathnet.ru/eng/book1021
|doi =
|id =
|mr =0031037
|zbl =0006.29703
|jfm =58.1058.01

}}. 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.

  • {{Citation

|last =Günther
|first =N. M.
|author-link =
|title =Sur les opérations linéaires
|journal =Physikalische Zeitschrift der Sowjetunion
|volume =3
|pages =115–139
|year =1933
|url =
|doi =
|id =
|zbl =0008.16601
|jfm = 60.1075.03}}.
  • {{Citation

|last =Gunther
|first =N. M.
|author-link =
|title = La théorie du potentiel et ses applications aux problèmes fondamentaux de la physique mathématique
|place =Paris
|publisher =Gauthier-Villars
|series =Collections de monographies sur la théorie des fonctions
|year =1934
|edition =1st
|pages = 303
|language =French
|url =
|doi =
|id =
|isbn =
|zbl = 0009.11301
|jfm = 60.1127.04}}, reviewed also by {{citation| last = Dixon
|first =A. C.
|author-link = Alfred Cardew Dixon
|title = La Théorie du Potentiel et ses applications aux problèmes de la physique mathématique by N. M. Gunther
|journal =The Mathematical Gazette
|volume =18
|issue =no. 230
|page = 278
|date = October 1934
|jstor =3605383
|subscription=yes

}} and by {{Citation


|last = Longley
|first =W. R.
|author-link =
|title = Review: La Théorie du Potentiel et ses Applications aux Problèmes Fondamentaux de la Physique Mathématique
|journal =Bulletin of the American Mathematical Society
|volume =42
|issue =no. 11
|page = 794
|year =1936
|url =http://www.ams.org/journals/bull/1936-42-11/S0002-9904-1936-06436-0/
|doi =10.1090/S0002-9904-1936-06436-0
|id =

}}.

  • {{Citation

|last = Günther
|first = N. M.
|author-link =
|title = Potential theory and its applications to basic problems of mathematical physics
|place = New York
|publisher = Frederick Ungar Publishing
|year = 1967
|origyear =1934
|pages = xi+338
|url =
|mr =0222316
|zbl =0164.41901
|isbn = }}. The second edition of the monograph {{harv|Gunther|1934}}, now a classical textbook in potential theory, translated from the Russian original {{Citation
|last =Günther
|first =N. M.
|author-link =
|script-title=ru:Теория потенциала и ее применение к основным задачам математической физики
|place =Москва
|publisher = Государственное Издательство Технико-Теоретческой Литературы
|origyear =1934
|year =1953
|edition =2nd
|pages=415
|language = Russian
|url =
|doi =
|mr =
|zbl =0052.10504}} (edition cured by V. I. Smirnov and H. L. Smolitskii), which was also translated in German as {{Citation
|last =Günter
|first = N. M.
|author-link =
|title =Die Potentialtheorie und ihre Anwendung auf Grundaufgaben der mathematischen Physik
|place =Leipzig
|publisher =B. G. Teubner Verlagsgesellschaft
|origyear =1934
|year =1957
|edition =2nd
|pages =X+314
|language =German
|url =
|doi =
|id =
|isbn =
|mr =0109958
|zbl =0077.09702

}}.

See also

  • Harmonic function
  • Integral equation
  • Radon measure

Notes

1. ^{{harv|Gunther|1934}}.
2. ^{{harv|Renschuch|Roloff|Rasputin|Abramson|2003}}.
3. ^{{cite journal|author=Dresden, Arnold|authorlink=Arnold Dresden|title=The International Congress at Toronto|journal=Bull. Amer. Math. Soc.|volume=31|year=1925|pages=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

{{refbegin}}

Biographical and general references

  • {{Citation

|editor-last = Kurosh
|editor-first = A. G.
|editor-link = Aleksandr Gennadievich Kurosh
|editor2-last = Markushevich
|editor2-first = A. I.
|editor2-link =
|editor3-last =Rashevskii
|editor3-first =P. K.
|editor3-link = Petr Konstanovich Rashevskii
|script-title=ru:Математика в СССР за тридцать лет 1917–1947
|place = Москва–Ленинград
|publisher = Государственное Издательство Физико–Математическои Литературы
|year = 1948
|pages = 1044
|language = Russian
|url =
|archiveurl =
|archivedate =
|doi =
|id =
|isbn =

}}. 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. Kurosh|Vityushkov|Boltyanskii|Dynkin|1959a}}|1959a, Kurosh|Vityushkov|Boltyanskii|Dynkin|1959b}}|1959b).

  • {{Citation

|editor-last = Kurosh
|editor-first = A. G.
|editor-link = Aleksandr Gennadievich Kurosh
|editor2-last = Vityushkov
|editor2-first = V. I.
|editor2-link =
|editor3-last = Boltyanskii
|editor3-first = V. G.
|editor3-link = Vladimir Grigorevich Boltyansky
|editor4-last = Dynkin
|editor4-first = E. B.
|editor4-link = Eugene Borisovich Dynkin
|editor5-last = Shilov
|editor5-first = G. E.
|editor5-link = Georgiy Shilov
|editor6-last = Yushkevich
|editor6-first = A. P.
|editor6-link =
|script-title=ru:Математика в СССР за сорок лет 1917–1957
|place = Москва
|publisher = Государственное Издательство Физико–Математическои Литературы
|volume = Том пербый: Обзорные статьи
|year = 1959a
|pages = 1002
|language = Russian
|url =
|archiveurl =
|archivedate =
|doi =
|id =
|isbn =
|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.

  • {{Citation

|editor-last = Kurosh
|editor-first = A. G.
|editor-link = Aleksandr Gennadievich Kurosh
|editor2-last = Vityushkov
|editor2-first = V. I.
|editor2-link =
|editor3-last = Boltyanskii
|editor3-first = V. G.
|editor3-link = Vladimir Grigorevich Boltyansky
|editor4-last = Dynkin
|editor4-first = E. B.
|editor4-link = Eugene Borisovich Dynkin
|editor5-last = Shilov
|editor5-first = G. E.
|editor5-link = Georgiy Shilov
|editor6-last = Yushkevich
|editor6-first = A. P.
|editor6-link =
|script-title=ru:Математика в СССР за сорок лет 1917–1957
|place = Москва
|publisher = Государственное Издательство Физико–Математическои Литературы
|volume = Том второй: Биобиблиография
|year = 1959b
|pages = 819
|language = Russian
|url =
|archiveurl =
|archivedate =
|doi =
|id =
|isbn =
|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.

  • {{Citation

|last = Lorentz
|first = G.G.
|author-link = George Lorentz
|title = Mathematics and politics in the Soviet Union from 1928 to 1953
|journal = Journal of Approximation Theory
|volume = 116
|issue = 2
|pages = 169–223
|year = 2002
|url =
|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).
  • {{Citation

|first =V. I.
|last =Smirnov
|author-link = Vladimir Smirnov (mathematician)
|first2 =S. L.
|last2 =Sobolev
|author2-link =Sergei Lvovich Sobolev
|script-title=ru:Николай Максимович Гюнтер (1871–1941) (некролог)
|journal =Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
|volume =5
|issue =3
|pages =193–202
|year =1941
|language =Russian
|url =http://mi.mathnet.ru/eng/izv/v5/i3/p193
|zbl =0060.01512

}}. The 1941 obituary of Nikolai Günther written by Vladimir Smirnov and Sergei Sobolev, including a list of his mathematical works.

  • {{Citation

|first =V. I.
|last =Smirnov
|author-link = Vladimir Smirnov (mathematician)
|first2 =S. L.
|last2 =Sobolev
|author2-link =Sergei Lvovich Sobolev
|editor-first=N. M.
|editor-last=Günther
|editor-link=
|contribution = A short biography
|contribution-url =
|title = Potential theory and its applications to basic problems of mathematical physics
|year =1967
|pages =327–336
|place =New York
|publisher =Frederick Ungar Publishing
|url =
|doi =
|id = }}, appendix to the book {{harv|Günther|1967}}.

Scientific references

  • {{Citation

|last = Ladyzhenskaya
|first = O. A.
|author-link = Olga Aleksandrovna Ladyzhenskaya
|translator-last=Lohwater
|translator-first=Jack
|translator-link=Arthur J. Lohwater
|title = The Boundary Value Problems of Mathematical Physics
|place = Berlin–Heidelberg–New York
|publisher = Springer Verlag
|series = Applied Mathematical Sciences
|volume = 49
|year = 1985
|edition =
|pages = XXX+322
|url =
|doi = 10.1007/978-1-4757-4317-3
|id =
|isbn = 0-521-39922-X
|mr = 0793735
|zbl = 0588.35003
|subscription=yes

}}.

  • {{Citation

|last =Renschuch
|first = Bodo
|author-link =
|last2 =Roloff
|first2 =Hartmut
|author2-link =
|last3 =Rasputin
|first3 =Georgij G.
|author3-link =
|last4 =Abramson
|first4 =Michael
|author4-link =
|display-authors=3
|translator-last=Abramson
|translator-first=Michael
|title =Contributions to Constructive Polynomial Ideal Theory XXIII: Forgotten Works of Leningrad Mathematician N. M. Gjunter on Polynomial Ideal Theory
|journal =ACM SIGSAM Bulletin
|volume =37
|issue =2
|pages =35–48
|date =June 2003
|orig-year =1986
|url =http://doi.acm.org/10.1145/944567.944569
|issn = 0163-5824
|doi =10.1145/944567.944569
|id =
|mr =0928797
|zbl =1049.01528
|subscription=yes}}. A freely accessible copy is available from the here from the Gröbner Bases Bibliography.{{refend}}{{Authority control}}{{DEFAULTSORT:Gunther, Nikolai Maximovich}}

9 : 1871 births|1941 deaths|People from Saint Petersburg|Corresponding Members of the USSR Academy of Sciences|19th-century Russian mathematicians|20th-century Russian mathematicians|Mathematical analysts|PDE theorists|Russian mathematicians

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