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| {{Infobox scientist
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| | name = Mikhail Ostrogradsky
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| | image = Ostrogradski.jpeg
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| | caption = Mikhail Vasilyevich Ostrogradsky
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| | birth_date = {{Birth date|1801|9|24|mf=yes}}
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| | birth_place = [[Pashennaya]]
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| | death_date = {{Death date and age|1862|1|1|1801|9|24|mf=yes}}
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| | death_place = [[Poltava]]
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| }}
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| '''Mikhail Vasilyevich Ostrogradsky''' (transcribed also '''Ostrohradskyy''', '''Ostrogradskii''', '''Ostrogradskiĭ''') ({{lang-ru|Михаил Васильевич Остроградский}}, {{lang-ua|Михайло Васильович Остроградський}}, September 24, 1801 – January 1, 1862) was a [[Russia]]n / [[Ukrainians|Ukrainian]] [[mathematician]], [[mechanics|mechanician]] and [[physicist]]. Ostrogradsky is considered to be a disciple of [[Leonhard Euler]] and one of the leading mathematicians of Imperial Russia.
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| Ostrogradsky was born in Pashennaya (Пашенная), [[Poltava Governorate]], [[Russian Empire]] (today [[Pashenivka]], [[Kozelshchyna Raion]], [[Poltava Oblast]], [[Ukraine]]). From 1816 to 1820 he studied under Timofei Fedorovich Osipovsky (1765–1832) and graduated from the [[Kharkiv University|University of Kharkiv]]. When 1820 Osipovsky was suspended on religious grounds, Ostrogradsky refused to be examined and he never received his [[Doctor of Philosophy|Doctor's degree]]. From 1822 to 1826 he studied at the [[University of Paris|Sorbonne]] and at the [[Collège de France]] in [[Paris]], [[France]]. In 1828 he returned to the Russian Empire and settled in [[Saint Petersburg]], where he was elected a member of the [[Russian Academy of Science|Academy of Sciences]], Also he becomes the professor of the [[Military Engineering-Technical University|Main military engineering School]] of the Russian empire.
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| He worked mainly in the mathematical fields of [[calculus of variations]], [[Integral|integration]] of [[algebraic function]]s, [[number theory]], [[algebra]], [[geometry]], [[probability theory]] and in the fields of [[mathematical physics]] and [[classical mechanics]]. In the latter, his most important work includes researches of the [[motion (physics)|motion]] of an elastic body and the development of methods for integration of the equations of [[dynamics (mechanics)|dynamics]]. Here he continued works of [[Euler]], [[Joseph Louis Lagrange]], [[Siméon Denis Poisson]] and [[Augustin Louis Cauchy]]. In Russia, his work in these fields was continued by Nikolay Dmitrievich Brashman (1796–1866), August Yulevich Davidov (1823–1885) and specially by the brilliant work of [[Nikolai Yegorovich Zhukovsky]] (1847–1921).
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| Ostrogradsky did not appreciate the work on [[non-Euclidean geometry]] of [[Nikolai Ivanovich Lobachevsky|Nikolay Ivanovich Lobachevsky]] from 1823 and he rejected it, when it was submitted for publication in the Saint Petersburg Academy of Sciences.
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| His method for integrating the [[rational function]]s is well known. With his equation we separate integral of a fractional rational function, the sum of the rational part (algebraic fraction) and the transcendental part (with the [[logarithm]] and the [[Inverse trigonometric function|arctangent]]). We determine the rational part without integrating it and we assign a given integral into Ostrogradsky's form:
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| :<math> \int {R(x)\over P(x)} \, dx = {T(x)\over S(x)} + \int {X(x)\over Y(x)} \, dx, </math>
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| where ''P''(''x''), ''S''(''x''), ''Y''(''x'') are known polynomials of degrees ''p'', ''s'' and ''y'', ''R''(''x'') known polynomial of degree not greater than ''p'' − 1, ''T''(''x'') and ''X''(''x'') unknown polynomials of degrees not greater than ''s'' − 1 and ''y'' − 1 respectively.
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| Ostrogradsky died in [[Poltava]], [[Poltava Governorate]], [[Russian Empire]] (today [[Ukraine]]).
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| ==See also==
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| : [[Divergence theorem]] (Ostrogradsky–Gauss theorem / Gauss–Ostrogradsky // Green–Ostrogradsky–Gauss / Gauss–Green–Ostrogradsky) | |
| : [[Ostrogradsky's equation]]
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| :: <math> \iiint_V \left( {\partial P\over \partial x} + {\partial Q\over \partial y} + {\partial R\over \partial z} \right) dx \, dy \, dz =
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| \iint_\Sigma \left( P + Q + R\right) \, d\Sigma </math>
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| : [[Green's theorem]] (1827)
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| :: [[Green–Ostrogradsky equation]] (1828)
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| : [[Hamilton–Ostrogradsky (variational) principle]]
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| : [[Ostrogradsky formalism]]
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| : [[Einstein–Ostrogradsky–Dirac Hamiltonian]]
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| : [[Horowitz–Ostrogradsky method]]
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| : [[Jacobi–Ostrogradsky coordinate]]s
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| ==External links==
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| *{{MacTutor Biography|id=Ostrogradski}}
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| {{Authority control|VIAF=60499410}}
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| | NAME = Ostrogradsky, Mikhail Vasilievich
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| | ALTERNATIVE NAMES =
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| | SHORT DESCRIPTION = Russian mathematician and physicist
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| | DATE OF BIRTH = September 24, 1801
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| | PLACE OF BIRTH = [[Pashennaya]]
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| | DATE OF DEATH = January 1, 1862
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| | PLACE OF DEATH = [[Poltava]]
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| }}
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| {{DEFAULTSORT:Ostrogradsky, Mikhail Vasilievich}}
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| [[Category:1801 births]]
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| [[Category:1862 deaths]]
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| [[Category:University of Paris alumni]]
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| [[Category:Full Members of the St Petersburg Academy of Sciences]]
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| [[Category:Military Engineering-Technical University faculty]]
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| [[Category:Russian people of Ukrainian descent]]
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| [[Category:19th-century Russian mathematicians]]
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| [[Category:Russian physicists]]
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| [[Category:People from Kharkiv]]
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| [[Category:Kharkiv University alumni]]
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Hello, I am Karly. The thing I enjoy many to-do home design and I've been carrying it out for a significant while. Sometime ago I chose to live-in Newjersey and my children loves it. Circulating creation is where my major revenue arises from.
Also visit my homepage Jordan Kurland