Yulian Vasilievich Sokhotski
Encyclopedia
Julian Karol Sochocki (February 2, 1842, Warsaw
, Congress Poland
, Russian Empire
– December 14, 1927, Leningrad
, Soviet Union
) was a Polish mathematician
.
Sochocki was born in Warsaw
under the Russia
n domination to a Polish family, where he attended state gymnasium. In 1864 he graduated from the Department of Physics and Mathematics at the University of Saint Petersburg
. In 1867 he received his Master's degree and in 1873 his doctorate
. His Master's dissertation was practically the first text in Russian mathematical literature on Cauchy
method of residue
and published in 1868. The dissertation itself contains many original grasps, which have been also ascribed to other mathematicians.
Sochocki's works include:
Warsaw
Warsaw is the capital and largest city of Poland. It is located on the Vistula River, roughly from the Baltic Sea and from the Carpathian Mountains. Its population in 2010 was estimated at 1,716,855 residents with a greater metropolitan area of 2,631,902 residents, making Warsaw the 10th most...
, Congress Poland
Congress Poland
The Kingdom of Poland , informally known as Congress Poland , created in 1815 by the Congress of Vienna, was a personal union of the Russian parcel of Poland with the Russian Empire...
, Russian Empire
Russian Empire
The Russian Empire was a state that existed from 1721 until the Russian Revolution of 1917. It was the successor to the Tsardom of Russia and the predecessor of the Soviet Union...
– December 14, 1927, Leningrad
Saint Petersburg
Saint Petersburg is a city and a federal subject of Russia located on the Neva River at the head of the Gulf of Finland on the Baltic Sea...
, Soviet Union
Soviet Union
The Soviet Union , officially the Union of Soviet Socialist Republics , was a constitutionally socialist state that existed in Eurasia between 1922 and 1991....
) was a Polish mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
Sochocki was born in Warsaw
Warsaw
Warsaw is the capital and largest city of Poland. It is located on the Vistula River, roughly from the Baltic Sea and from the Carpathian Mountains. Its population in 2010 was estimated at 1,716,855 residents with a greater metropolitan area of 2,631,902 residents, making Warsaw the 10th most...
under the Russia
Russia
Russia or , officially known as both Russia and the Russian Federation , is a country in northern Eurasia. It is a federal semi-presidential republic, comprising 83 federal subjects...
n domination to a Polish family, where he attended state gymnasium. In 1864 he graduated from the Department of Physics and Mathematics at the University of Saint Petersburg
Saint Petersburg State University
Saint Petersburg State University is a Russian federal state-owned higher education institution based in Saint Petersburg and one of the oldest and largest universities in Russia....
. In 1867 he received his Master's degree and in 1873 his doctorate
Doctor of Philosophy
Doctor of Philosophy, abbreviated as Ph.D., PhD, D.Phil., or DPhil , in English-speaking countries, is a postgraduate academic degree awarded by universities...
. His Master's dissertation was practically the first text in Russian mathematical literature on Cauchy
Augustin Louis Cauchy
Baron Augustin-Louis Cauchy was a French mathematician who was an early pioneer of analysis. He started the project of formulating and proving the theorems of infinitesimal calculus in a rigorous manner, rejecting the heuristic principle of the generality of algebra exploited by earlier authors...
method of residue
Residue theorem
The residue theorem, sometimes called Cauchy's Residue Theorem, in complex analysis is a powerful tool to evaluate line integrals of analytic functions over closed curves and can often be used to compute real integrals as well. It generalizes the Cauchy integral theorem and Cauchy's integral formula...
and published in 1868. The dissertation itself contains many original grasps, which have been also ascribed to other mathematicians.
Sochocki's works include:
- Теория интегральных вычетов с некоторыми приложениями (Theory of integral calculuses with some applications) (1868),
- Об определенных интегралах и функциях, употребляемых при разложениях в ряды (About definite integrals and functionFunction (mathematics)In mathematics, a function associates one quantity, the argument of the function, also known as the input, with another quantity, the value of the function, also known as the output. A function assigns exactly one output to each input. The argument and the value may be real numbers, but they can...
s used in developments of series) (1873), - О суммах Гаусса и о законе взаимности символа Лежандра (About Gauss sumGauss sumIn mathematics, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typicallyG := G= \sum \chi\cdot \psi...
s and the reciprocity lawQuadratic reciprocityIn number theory, the law of quadratic reciprocity is a theorem about modular arithmetic which gives conditions for the solvability of quadratic equations modulo prime numbers...
of the Legendre symbolLegendre symbolIn number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo a prime number p: its value on a quadratic residue mod p is 1 and on a quadratic non-residue is −1....
) (1877), - Высшая алгебра (High algebraAlgebraAlgebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures...
) (1882), - Теория чисел (Number theoryNumber theoryNumber theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
) (1888), - Начало общего наибольшего делителя в применении к теории делимости алгебраических чисел (Principle of greatest common divisorGreatest common divisorIn mathematics, the greatest common divisor , also known as the greatest common factor , or highest common factor , of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder.For example, the GCD of 8 and 12 is 4.This notion can be extended to...
in the usage to the divisibility theory of algebraic numberAlgebraic numberIn mathematics, an algebraic number is a number that is a root of a non-zero polynomial in one variable with rational coefficients. Numbers such as π that are not algebraic are said to be transcendental; almost all real numbers are transcendental...
s) (1893).
External links
- Yulian Vasilievich Sokhotski (in Russian)