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Julian Karol Sochocki (russian: Юлиан Васильевич Сохоцкий; pl, Julian Karol Sochocki; February 2, 1842 in Warsaw,
Congress Poland Congress Poland, Congress Kingdom of Poland, or Russian Poland, formally known as the Kingdom of Poland, was a polity created in 1815 by the Congress of Vienna as a semi-autonomous Polish state, a successor to Napoleon's Duchy of Warsaw. It w ...
, Russian Empire – December 14, 1927 in Leningrad, Soviet Union) was a Russian-
Polish Polish may refer to: * Anything from or related to Poland, a country in Europe * Polish language * Poles, people from Poland or of Polish descent * Polish chicken *Polish brothers (Mark Polish and Michael Polish, born 1970), American twin screenwr ...
mathematician. His name is sometimes transliterated from Russian in several different ways (e.g. Sokhotski or Sochotski).


Life and work

Sochocki was born in Warsaw under the Russian domination to a Polish family, where he attended state gymnasium. In 1860 he registered at the physico-mathematical department 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 ...
. His study there was interrupted for the period 1860–1865 because of his involvement with Polish nationalist movement: he had to return to Warsaw to escape prosecution. In 1866 he graduated from the Department of Physics and Mathematics at the University of Saint Petersburg. In 1868 he received his master's degree and in 1873 his doctorate. His master's dissertation, practically the first text in Russian mathematical literature on Cauchy method of
residues Residue may refer to: Chemistry and biology * An amino acid, within a peptide chain * Crop residue, materials left after agricultural processes * Pesticide residue, refers to the pesticides that may remain on or in food after they are appli ...
, was published in 1868. The dissertation itself contains many original grasps, which have been also ascribed to other mathematicians. His doctoral thesis contains the famous Sokhotski–Plemelj theorem. From 1868 Sochotcki lectured at the St Petersburg university, first as the "privat-docent", from 1882 as an ordinary professor, and from 1893 as a merited professor. In 1894 he was elected corresponding member of the
Polish Academy of Arts and Sciences The Polish Academy of Arts and Sciences or Polish Academy of Learning ( pl, Polska Akademia Umiejętności), headquartered in Kraków and founded in 1872, is one of two institutions in contemporary Poland having the nature of an academy of scien ...
. Sochocki died on December 14, 1927 in a nursing home in Leningrad. Sochocki is mainly remembered for the Casorati–Sokhotski–Weierstrass theorem and for the
Sokhotski–Plemelj theorem The Sokhotski–Plemelj theorem (Polish spelling is ''Sochocki'') is a theorem in complex analysis, which helps in evaluating certain integrals. The real-line version of it ( see below) is often used in physics, although rarely referred to by nam ...
.


Selected publications

* ''Теорiя интегральныхъ вычетовъ с нѣкоторыми приложенiями'' (''A Theory of Integral Residues with Some Applications'') (1868) * ''Объ определенныхъ интегралахъ и функцiяхъ употребляемыхъ при разложенiяхъ въ ряды'' (''On Definite Integrals and Functions Used in Series Expansions'') (1873) * ''О суммахъ Гаусса и о законе взаимности символа Лежандра'' (''On Gauss Sums and the Reciprocity Law of the Legendre Symbol'') (1877) * ''Высшая алгебра'' (''Higher Algebra'') (St. Petersburg, 1882) * ''Теорiя чиселъ'' (''Number Theory'') (St. Petersburg, 1888) * ''Начало общего наибольшего делителя въ применении к теорiи делимости алгебраическихъ чиселъ'' (''The Principle of the Greatest Common Divisor Applied to Divisibility Theory of Algebraic Numbers'') (1893), ,


Notes


External links


Yulian Vasilievich Sokhotski
(in Russian) * *
Julian Karol Sochocki
Zentralblatt profile {{DEFAULTSORT:Sokhotski, Yulian Vasilievich Number theorists Saint Petersburg State University alumni Russian people of Polish descent Scientists from Warsaw Polish mathematicians 19th-century mathematicians from the Russian Empire 20th-century Russian mathematicians 1842 births 1927 deaths