Egor Ivanovich Zolotarev ( March 31 ( April 12 ) 1847 , St. Petersburg - July 7 ( 19 ), 1878 , ibid.) - Russian mathematician .
| Egor Ivanovich Zolotarev | |
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| Date of death | or |
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| Scientific field | maths |
| Place of work | Petersburg University |
| Alma mater | Petersburg University |
| supervisor | P. L. Chebyshev A. N. Korkin |
| Awards and prizes | Silver school medal |
Content
- 1 Biography
- 2 Scientific contribution
- 3 Bibliography
- 4 notes
- 5 Literature
Biography
Egor was born in the family of the merchant Ivan Vasilievich and Agafya Izotovna Zolotaryov in St. Petersburg . Since 1857, he began to attend classes at the 5th St. Petersburg gymnasium , which he graduated in 1863 [4] . In the same year he became a free student of lectures at the Physics and Mathematics Department of St. Petersburg University .
Due to his young age, Zolotarev could not become a university student until 1864 . During his studies, among his teachers were P.L. Chebyshev and A.N. Korkin , with whom his scientific career was very closely related in the future.
In November 1867 he defended his thesis on the topic “On the integration of the top equations ”, and 10 months later he published the essay “On one question about the smallest quantities”. For this essay he was admitted to St. Petersburg University as a privat-docent .
At first he gave lectures on differential calculus , later, starting in the summer of 1871 , lectures on integral calculus .
In December 1869 he defended his master's thesis on the topic "On the solution of an indefinite equation of the third degree of the form x³ + Ay³ + A²z³ - 3Axyz = 1". In 1872, Zolotarev first made a trip abroad. In Berlin, attends lectures by Weierstrass , and in Heidelberg, lectures by Konigsberger .
In 1874 he defended his doctoral dissertation "The theory of integer complex numbers with an application to integral calculus." In this work, in particular, the problem posed earlier by Chebyshev on representing expressions of the form was solved:
in logarithmic form. This question worried Chebyshev from the very early stages of his scientific activity, but he could not solve it without the use of elliptic functions .
After receiving his doctorate, Zolotarev was appointed an extraordinary professor, and in 1876 he was elected adjunct to the St. Petersburg Academy of Sciences [5] . Zolotarev set forth further results of his research on the theory of complex numbers in the article “Sur la thèorie des nombres complêxes”. It was published in the Journal de Mathèmatiques pures et appliquèes in 1880 and was handed over to the editorial office of this journal three years earlier, during Zolotarev’s trip to Germany .
The life of Yegor Ivanovich Zolotarev tragically ended in the 32nd year of life. During a country trip on June 26, 1878, he fell under a train at a train station in Tsarskoye Selo and died of blood poisoning on July 19 . He was buried at Mitrofanievsky cemetery .
Scientific Contribution
Egor Ivanovich Zolotarev is best known as the author of one of the simplest proofs of the law of reciprocity , see also Lemma Zolotaryov . [6] [7] [8]
Bibliography
- Zolotareff G. Nouvelle démonstration de la loi de de réciprocité de Legendre (Fr.) // Nouvelles Annales de Mathématiques, 2e série: magazine. - 1872. - Vol. 11 . - P. 354-362 . (inaccessible link)
- Zolotareff G. Sur la méthode d'intégration de M. Tchébychef (neopr.) // Math. Ann. . - 1872. - T. 5 , No. 4 . - S. 560-580 . - DOI : 10.1007 / BF01442910 .
- Korkine A., Zolotareff G. Sur les formes quadratiques positives quaternaires (neopr.) // Math. Ann. . - 1872. - T. 5 , No. 4 . - S. 581-583 . - DOI : 10.1007 / BF01442912 .
- Korkine A., Zolotareff G. Sur les formes quadratiques (neopr.) // Math. Ann. . - 1873. - T. 6 , No. 3 . - S. 366-389 . - DOI : 10.1007 / BF01442795 .
- Korkine A., Zolotareff G. Sur les formes quadratiques positives (neopr.) // Math. Ann. . - 1877. - T. 11 , No. 2 . - S. 242-292 . - DOI : 10.1007 / BF01442667 .
- Zolotareff EI Sur la méthode d'intégration de M. Tchébychef (neopr.) // Jour. de Math. pures et appl. 2e série. - 1874. - T. 16 . - S. 161-188 .
- Zolotareff EI Sur la thèorie des nombres complêxes (neopr.) // Jour. de Math. pures et appl. 3e série. - 1880. - T. 6 . - S. 51–84, 129–166 .
- Zolotarev E.I. Sobr. Op. - L .: Publishing House of the Academy of Sciences of the USSR, 1931.
Notes
- ↑ 1 2 3 Zolotarev, Egor Ivanovich // Russian Biographical Dictionary - St. Petersburg. : 1916. - T. 7. - S. 431-434.
- ↑ Archive for the history of mathematics MacTyutor
- ↑ 1 2 Zolotarev Egor Ivanovich // Great Soviet Encyclopedia : [in 30 vol.] / Ed. A. M. Prokhorov - 3rd ed. - M .: Soviet Encyclopedia , 1969.
- ↑ Ivanov K.A. Fiftieth anniversary of the St. Petersburg fifth gymnasium. 1845-1895. - SPb .: type. t-va "Soc. benefit ", 1896.
- ↑ Profile of Egor Ivanovich Zolotarev on the official website of the RAS
- ↑ Zolotareff G. Nouvelle démonstration de la loi de de réciprocité de Legendre (Fr.) // Nouvelles Annales de Mathématiques, 2e série: magazine. - 1872. - Vol. 11 . - P. 354-362 . (inaccessible link)
- ↑ Prasolov V.V. Proof of the quadratic reciprocity law according to Zolotarev // Mathematical education . - 2000 .-- T. 4 . - S. 140-144 .
- ↑ Gorin E. A. Permutations and the quadratic reciprocity law according to Zolotarev-Frobenius-Russo // Chebyshevsky collection. - 2013 .-- T. 14 , no. 4 . - S. 80-94 .
Literature
- Ozhigova E.P. Yegor Ivanovich Zolotarev, 1847–1878. - L .: Science, 1966.
- Prasolov V.V. Proof of the quadratic reciprocity law according to Zolotarev // Mathematical education . - 2000 .-- T. 4 . - S. 140-144 .
- Kolushov A.V., Yudin V.A. On the construction of Korkin-Zolotarev // Diskr. mate. - 1994. - T. 6 , No. 1 . - S. 155-157 .