Igor Zolotarev
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Yegor (Egor) Ivanovich Zolotarev (russian: Его́р Ива́нович Золотарёв) (31 March 1847, Saint Petersburg – 19 July 1878, Saint Petersburg) was a Russian mathematician.


Biography

Yegor was born as a son of Agafya Izotovna Zolotareva and the merchant Ivan Vasilevich Zolotarev in Saint Petersburg,
Imperial Russia The Russian Empire was an empire and the final period of the List of Russian monarchs, Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended th ...
. In 1857 he began to study at the fifth St Petersburg gymnasium, a school which centred on
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
and
natural science Natural science is one of the branches of science concerned with the description, understanding and prediction of natural phenomena, based on empirical evidence from observation and experimentation. Mechanisms such as peer review and repeatab ...
. He finished it with the silver medal in 1863. In the same year he was allowed to be an auditor at the physico-mathematical faculty of
St Petersburg university Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the G ...
. He had not been able to become a student before 1864 because he was too young. Among his academic teachers were
Somov The House of Somov ( Сомовы, Somoff, Somow) is a Russian noble family descended from the Khans of the 14th century. This family descend from Prince (Murza; Mirza) Oslan - Chelebey, who left the Golden Horde leading an army to support Dmi ...
,
Chebyshev Pafnuty Lvovich Chebyshev ( rus, Пафну́тий Льво́вич Чебышёв, p=pɐfˈnutʲɪj ˈlʲvovʲɪtɕ tɕɪbɨˈʂof) ( – ) was a Russian mathematician and considered to be the founding father of Russian mathematics. Chebyshe ...
and
Aleksandr Korkin Aleksandr Nikolayevich Korkin (russian: Александр Николаевич Коркин; – ) was a Russian mathematician. He made contribution to the development of partial differential equations, and was second only to Chebyshev among the ...
, with whom he would have a tight scientific friendship. In November 1867 he defended his Kandidat thesis ''“About the Integration of Gyroscope Equations”'', after 10 months there followed his thesis
pro venia legendi Habilitation is the highest academic degree, university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, us ...
''About one question on Minima''. With this work he was given the right to teach as a private lecturer at St Petersburg university. He first lectured on
differential calculus In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus—the study of the area beneath a curve. ...
to science students (until summer 1871), later integral calculus and analysis to beginners of mathematics. Except for a short pause he lectured on
elliptic function In the mathematical field of complex analysis, elliptic functions are a special kind of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Originally those in ...
s to students of higher semesters during his whole job as lecturer and professor. In December 1869, Zolotarev defended his master's thesis ''“About the Solution of the Indefinite Equation of Third Degree x³ + Ay³ + A²z³ - 3Axyz = 1”''. He took his first trip abroad in 1872 and visited Berlin and Heidelberg. In Berlin he attended Weierstrass' "theory of analytic functions", in Heidelberg Koenigsberger's. In 1874, Zolotarev become a member of the university staff as a lecturer and in the same year he defended his doctoral thesis ''“Theory of integer Complex Numbers with an Application to Integral Calculus”''. The algorithm Zolotarev proved there was created by Chebyshev and that algorithm allowed to see whether integral of the form :\int \frac\, dx was elementary, in this case representable in logarithms. This was a question Chebyshev had been interested in since the beginning of his research. Starting at the beginning of the winter semester 1876 Zolotarev was appointed extraordinary professor, and after the death of academician Somov he became his successor as an adjunct of the Academy of Sciences. Egor Ivanovich Zolotarev's steep career ended abruptly with his early death. He was on his way to his dacha when he was run over by a train in the Tsarskoe Selo station. On 19 July 1878 he died from blood poisoning. Yegor Ivanovich is not to be confused with the probabilist Vladimir Mikhaelovich Zolotarev, Kolmogorov's disciple, who worked on stable distributions with well known results on their parametrization.Zolotarev, V. M. (1986). One-dimensional stable distributions (Vol. 65). American Mathematical Soc.


Bibliography

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See also

*
Zolotarev's lemma In number theory, Zolotarev's lemma states that the Legendre symbol :\left(\frac\right) for an integer ''a'' modulo an odd prime number ''p'', where ''p'' does not divide ''a'', can be computed as the sign of a permutation: :\left(\frac\right) ...
*
Zolotarev polynomials In mathematics, Zolotarev polynomials are polynomials used in approximation theory. They are sometimes used as an alternative to the Chebyshev polynomials where accuracy of approximation near the origin is of less importance. Zolotarev polynomials ...
* Elliptic filter also known as a Zolotarev filter.


References


External links

* {{DEFAULTSORT:Zolotarev, Yegor Ivanovich 1847 births 1878 deaths 19th-century mathematicians from the Russian Empire Mathematicians from Saint Petersburg Saint Petersburg State University alumni Full members of the Saint Petersburg Academy of Sciences Railway accident deaths in Russia Number theorists Approximation theorists