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Sunday, December 29, 2013

Leonhard Euler

Euler, Leonhard (1707-83), Swiss mathematician, whose major cypher was done in the knowledge domain of pure mathematics, a field that he helped to found. Euler was born in Basel and studied at the University of Basel under the Swiss mathematician Johann Bernoulli, obtaining his masters peak at the age of 16. In 1727, at the invitation of Catherine I, empress of Russia, Euler became a member of the twinge of the Academy of Sciences in Saint Petersburg. He was appointed prof of physics in 1730 and professor of mathematics in 1733. In 1741 he became professor of mathematics at the Berlin Academy of Sciences at the urging of the Prussian king Frederick the Great. Euler returned to St. Petersburg in 1766, remaining at that place until his death. Although hampered from his late 20s by partial loss of mountain and in later life by almost fundamental blindness, Euler produced a deed of important numeric works and hundreds of mathematical and scientific memoirs. In his Introduction to the Analysis of Infinities (1748; trans. 1748), Euler gave the first undecomposed analytical give-and-take of algebra, the theory of equations, trigonometry, and analytical geometry.
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In this work he treat the series expansion of functions and formulated the recover that only merging(prenominal) infinite series can properly be evaluated. He also discussed three-dimensional surfaces and proved that the conic sections atomic number 18 equal by the general equation of the second degree in two dimensions. Other works dealt with calculus, including the calculus of variations, number theory, complex number numbe rs, and determinate and indeterminate algebr! a. Euler, although principally a mathematician, made contributions to astronomy, mechanics, optics, and acoustics. If you indigence to get a full essay, localise it on our website: OrderCustomPaper.com

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