Yegor (Egor) Ivanovich Zolotarev (russian: Его́р Ива́нович Золотарёв) (31 March 1847,
Saint Petersburg
Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), i ...
– 19 July 1878, Saint Petersburg) was a Russian
mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change.
History
On ...
.
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,
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
Candidate of Sciences (russian: кандидат наук, translit=kandidat nauk) is the first of two doctoral level scientific degrees in Russia and the Commonwealth of Independent States. It is formally classified as UNESCO's ISCED level 8, "do ...
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
In mathematics, an integral assigns numbers to Function (mathematics), functions in a way that describes Displacement (geometry), displacement, area, volume, and other concepts that arise by combining infinitesimal data. The process of finding ...
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
Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constitue ...
and
Heidelberg
Heidelberg (; Palatine German language, Palatine German: ''Heidlberg'') is a city in the States of Germany, German state of Baden-Württemberg, situated on the river Neckar in south-west Germany. As of the 2016 census, its population was 159,914 ...
. In
Berlin he attended
Weierstrass
Karl Theodor Wilhelm Weierstrass (german: link=no, Weierstraß ; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern mathematical analysis, analysis". Despite leaving university without a degree, ...
' "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
:
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
An academy of sciences is a type of learned society or academy (as special scientific institution) dedicated to sciences that may or may not be state funded. Some state funded academies are tuned into national or royal (in case of the Unite ...
.
Egor Ivanovich Zolotarev's steep career ended abruptly with his early death. He was on his way to his
dacha
A dacha ( rus, дача, p=ˈdatɕə, a=ru-dacha.ogg) is a seasonal or year-round second home, often located in the exurbs of post-Soviet countries, including Russia. A cottage (, ') or shack serving as a family's main or only home, or an outbu ...
when he was run over by a train in the
Tsarskoe Selo
Tsarskoye Selo ( rus, Ца́рское Село́, p=ˈtsarskəɪ sʲɪˈlo, a=Ru_Tsarskoye_Selo.ogg, "Tsar's Village") was the town containing a former residence of the Russian imperial family and visiting nobility, located south from the cen ...
station. On 19 July 1878 he died from
blood poisoning
Sepsis, formerly known as septicemia (septicaemia in British English) or blood poisoning, is a life-threatening condition that arises when the body's response to infection causes injury to its own tissues and organs. This initial stage is follo ...
.
Yegor Ivanovich is not to be confused with the probabilist Vladimir Mikhaelovich Zolotarev, Kolmogorov's disciple, who worked on
stable distributions
In probability theory, a distribution is said to be stable if a linear combination of two independent random variables with this distribution has the same distribution, up to location and scale parameters. A random variable is said to be stab ...
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
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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
*
Elliptic filter
An elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer, or as a Zolotarev filter, after Yegor Zolotarev) is a signal processing filter with equalized ripple (equiripple) behavior in both the passband and the stopband. The amo ...
also known as a Zolotarev filter.
References
External links
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{{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