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Encyclopedia > Mikhail Vasilievich Ostrogradsky

Mikhail Vasilievich Ostrogradsky (transcribed also Ostrogradskii, Ostrogradskiĭ, Mykhailo Vasyl'ovych Ostrohrads'kyi[1]) (Михаил Васильевич Остроградский) (September 24, 1801 - January 1, 1862) was a Ukrainian mathematician, mechanician and physicist. Ostrogradsky is considered to be Leonhard Euler's disciple and the leading Russian mathematician of that day. September 24 is the 267th day of the year (268th in leap years). ... 1801 was a common year starting on Thursday (see link for calendar). ... January 1 is the first day of the calendar year in both the Julian and Gregorian calendars. ... 1862 was a common year starting on Wednesday (see link for calendar). ... A mathematician is a person whose area of study and research is mathematics. ... Mechanics refers to: a craft relating to machinery (from the Latin mechanicus, from the Greek mechanikos, meaning one skilled in machines), or a range of disciplines in science and engineering. ... A physicist is a scientist trained in physics. ... Leonhard Euler by Emanuel Handmann Leonhard Euler [oilÉ™r] (April 15, 1707 - September 18, 1783) was a Swiss mathematician and physicist. ...


Ostrogradsky was born in Pashennaya (Пашенная), Imperial Russia (now Ukraine). From 1816 to 1820 he studied under Timofei Fedorovich Osipovsky (1765-1832) and graduated from the University of Kharkov. When 1820 Osipovsky was suspended on religious base, Ostrogradsky refused to be examined and he never received his Doctors degree. From 1822 to 1826 he studied at the Sorbonne and at the Collège de France in Paris, France. In 1828 he returned to St. Petersburg, where he was elected as a member of the Academy of Sciences. Imperial Russia is the term used to cover the period of Russian history from the expansion of Russia under Peter the Great, through the expansion of the Russian Empire from the Baltic to the Pacific Ocean, to the deposal of Nicholas II of Russia, the last tsar, at the start... 1816 was a leap year starting on Monday (see link for calendar). ... 1820 was a leap year starting on Saturday (see link for calendar). ... 1765 was a common year starting on Tuesday (see link for calendar). ... 1832 was a leap year starting on Sunday (see link for calendar). ... Kharkov (rus: Ха́рьков) or Kharkiv (ukr: Ха́рків) is the second largest city in Ukraine, a center of Kharkivska oblast. It is situated in the northeast of the country and has a population of two million. ... Doctor of Philosophy (Ph. ... 1822 was a common year starting on Tuesday (see link for calendar). ... 1826 was a common year starting on Sunday (see link for calendar). ... The Sorbonne, Paris, in a 17th century engraving The Sorbonne today, from the same point of view La Sorbonne was the name of the former University of Paris, in Paris, France, one among the most ancient in Europe. ... Courtyard of the Collège de France. ... The Eiffel Tower has become a symbol of Paris throughout the world. ... 1828 was a leap year starting on Tuesday (see link for calendar). ... Saint Petersburg (Russian: Санкт-Петербу́рг, English transliteration: Sankt-Peterburg), colloquially known as Питер (transliterated Piter), formerly known as Leningrad (Ленингра́д, 1924–1991) and Petrograd (Петрогра́д, 1914–1924), is a city located in Northwestern Russia on the delta of the river Neva at the east end of the Gulf of Finland... Russian Academy of Sciences (Росси́йская Акаде́мия Нау́к) is the national academy of Russia. ...


He worked mainly in the mathematical fields of calculus of variations, integration of algebraic functions, 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 of an elastic body and the development of methods for integration of the equations of dynamics. Here he continued works of Euler, Joseph Louis Lagrange, Siméon-Denis Poisson and Augustin Louis Cauchy. His work in these fields was in Russia continued by Nikolay Dmitrievich Brashman (1796-1866), August Yulevich Davidov (1823-1885) and specially by the brilliant work of Nikolai Yegorovich Zhukovsky (1847-1921). Calculus of variations is a field of mathematics which deals with functions of functions, as opposed to ordinary calculus which deals with functions of numbers. ... Integration may be any of the following: In the most general sense, integration may be any bringing together of things: the integration of two or more economies, cultures, religions (usually called syncretism), etc. ... In mathematics, an algebraic function of indeterminates X1, X2, ..., Xn, is a function F that satisfies some non-trivial equation P(F, X1, X2, ..., Xn) = 0, with P a polynomial in n + 1 variables over a given field K. That is, F is an implicit function that solves an algebraic... Traditionally, number theory is that branch of pure mathematics concerned with the properties of integers. ... Algebra is a branch of mathematics which studies structure and quantity. ... Geometry (from the Greek words Geo = earth and metro = measure) is the branch of mathematics first popularized in ancient Greek culture by Thales (circa 624-547 BC) dealing with spatial relationships. ... Probability theory is the mathematical study of probability. ... Mathematical physics is a scientific discipline aimed at studying and solving problems inspired by physics within a mathematically rigorous framework. ... In physics, Classical mechanics is one of the two major sub-fields of study in the science of mechanics, which is concerned with the motions of bodies, and the forces that cause them. ... In physics, motion means a change in the position of a body with respect to time, as measured by a particular observer in a particular frame of reference. ... In physics, dynamics is the branch of classical mechanics that is concerned with the effects of forces on the motion of objects. ... Joseph Louis Lagrange Joseph Louis Lagrange (January 25, 1736 – April 10, 1813) was an Italian mathematician and astronomer who later lived in France and Prussia. ... Simeon Poisson. ... Augustin Louis Cauchy Augustin Louis Cauchy (August 21, 1789 – May 23, 1857) was a French mathematician. ... 1796 was a leap year starting on Friday. ... 1866 is a common year starting on Monday. ... 1823 was a common year starting on Wednesday (see link for calendar). ... 1885 is a common year starting on Thursday. ... Nikolai Yegorovich Zhukovsky (Николай Егорович Жуковский) (January 5, 1847 new style – March 17, 1921), Russian scientist, founding father of modern aero- and hydrodynamics. ... 1847 was a common year starting on Friday (see link for calendar). ... 1921 was a common year starting on Saturday (see link for calendar). ...


Ostrogradsky did not appreciate the work on non-euclidean geometry of Nikolay Ivanovich Lobachevsky from 1823 and he rejected it, when it was submitted for publication in the St. Petersburg Academy of Sciences. Behavior of lines with a common perpendicular in each of the three types of geometry The term non-Euclidean geometry (also spelled: non-Euclidian geometry) describes both hyperbolic and elliptic geometry, which are contrasted with Euclidean geometry. ... Nikolay Ivanovich Lobachevsky Nikolai Ivanovich Lobachevsky (Никола́й Ива́нович Лобаче́вский) (December 1, 1792 - February 24, 1856 (N.S.); November 20, 1792 - February 12, 1856 (O.S.))) was a Russian mathematician. ... 1823 was a common year starting on Wednesday (see link for calendar). ...


His method for integrating the rational functions 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 arc tangent). We determine the rational part without integrating it and we assign a given integral into Ostrogradsky's form: In mathematics, a rational function is a ratio of polynomials. ... Logarithms to various bases: red is to base e, green is to base 10, and purple is to base 1. ... ARC may be: ARC (former name of Hanson Quarry Products Europe) Action Régionaliste Corse Adaptive Replacement Cache Advance Reader Copy Advanced RISC Computing Advocacy for Respect for Cyclists Affinity, Reality and Communication, the Scientology concept of understanding; see ARC (Scientology) Aging Research Centre Agricultural Research Council AIDS-related complex... In mathematics, the word tangent has two distinct, but etymologically related meanings: one in geometry, and one in trigonometry. ...

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.


Ostrogradsky died in Poltava (Полтава), Imperial Russia, now Ukraine. Poltava (Ukrainian: ) is a city and oblast center in Poltava Oblast in central Ukraine with some 313,400 inhabitants (2004). ...


See also:

Divergence theorem (Ostrogradsky-Gauss theorem / Gauss-Ostrogradsky // Green-Ostrogradsky-Gauss / Gauss-Green-Ostrogradsky)
Ostrogradsky's equation
Green's theorem (1827)
Green-Ostrogradsky equation (1828)
Hamilton-Ostrogradsky (variational) principle
Ostrogradsky formalism
Einstein-Ostrogradsky-Dirac Hamiltonian
Horowitz-Ostrogradsky method
Jacobi-Ostrogradsky coordinates

In vector calculus, the divergence theorem, also known as Gauss theorem, Ostrogradskys theorem, or Ostrogradsky-Gauss theorem is a result that links the divergence of a vector field to the value of surface integrals of the flow defined by the field. ... In physics and mathematics, Greens theorem gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C. Greens Theorem was named after British scientist George Green and is a special case of the more... 1827 was a common year starting on Monday (see link for calendar). ... 1828 was a leap year starting on Tuesday (see link for calendar). ...

External link


  Results from FactBites:
 
Britain.tv Wikipedia - Mikhail Vasilievich Ostrogradsky (395 words)
Mikhail Vasilievich Ostrogradsky (transcribed also Ostrogradskii, Ostrogradskiĭ, Mykhailo Vasyl'ovych Ostrohrads'kyi[1]) (Russian: Михаил Васильевич Остроградский) (September 24, 1801 - January 1, 1862) was a Ukrainian mathematician, mechanician and physicist.
Ostrogradsky is considered to be Leonhard Euler's disciple and the leading Russian mathematician of that day.
Ostrogradsky did not appreciate the work on non-euclidean geometry of Nikolay Ivanovich Lobachevsky from 1823 and he rejected it, when it was submitted for publication in the St. Petersburg Academy of Sciences.
Mikhail Vasilievich Ostrogradsky: Definition and Links by Encyclopedian.com (549 words)
Mikhail Vasilievich Ostrogradsky (transcribed also Ostrogradskii, Ostrogradskiĭ) (Михаил Васильевич Остроградский) (September 24, 1801 - January 1, 1862) was a Russian mathematician, mechanician and physicist.
Ostrogradsky is considered to be Leonhard Euler (1707-1783) disciple and the leading Russian mathematician of that day.
Ostrogradsky didn't aprreciated the work on non-euclidean geometry of Nikolay Ivanovich Lobachevsky (1792-1856) from 1823 and he rejected it, when it was submitted for publication in the St. Petersburg Academy of Sciences.
  More results at FactBites »

 
 

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