Julian Karol Sochocki (russian: Юлиан Васильевич Сохоцкий; pl, Julian Karol Sochocki; February 2, 1842 in

Warsaw Warsaw ( pl, Warszawa, ), officially the Capital City of Warsaw,, abbreviation: ''m.st. Warszawa'' is the capital and largest city of Poland. The metropolis stands on the River Vistula in east-central Poland, and its population is officia ...

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 The Russian Empire was an empire and the final period of the 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 the Great Northern War. ...

– December 14, 1927 in

Leningrad 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 ...

Soviet Union The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national ...

) was a Russian-

Polish Polish may refer to: * Anything from or related to Poland, a country in Europe * Polish language * Poles Poles,, ; singular masculine: ''Polak'', singular feminine: ''Polka'' or Polish people, are a West Slavic nation and ethnic group, w ...

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 ...

. His name is sometimes transliterated from Russian in several different ways (e.g. Sokhotski or Sochotski).

Life and work

Sochocki was born in

under the

Russia Russia (, , ), or the Russian Federation, is a List of transcontinental countries, transcontinental country spanning Eastern Europe and North Asia, Northern Asia. It is the List of countries and dependencies by area, largest country in the ...

n domination to a Polish family, where he attended state gymnasium. In 1860 he registered at the physico-mathematical department of St Petersburg University. 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 A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, the ...

. In 1868 he received his master's degree and in 1873 his

doctorate A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism ''l ...

. His master's dissertation, practically the first text in Russian mathematical literature on

Cauchy Baron Augustin-Louis Cauchy (, ; ; 21 August 178923 May 1857) was a French mathematician, engineer, and physicist who made pioneering contributions to several branches of mathematics, including mathematical analysis and continuum mechanics. He w ...

method of residues, 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 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 ...

. 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

. Sochocki is mainly remembered for the

Casorati–Sokhotski–Weierstrass theorem In complex analysis, a branch of mathematics, the Casorati–Weierstrass theorem describes the behaviour of holomorphic functions near their essential singularities. It is named for Karl Theodor Wilhelm Weierstrass and Felice Casorati. In Russian ...

and for the

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