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Topic: Leonhard Euler

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	Leonhard Euler
		Leonhard Euler (April 15, 1707 - September 18, 1783) (pronounced "oiler", not "yooler") was a Swiss mathematician and physicist.
		He is the physicist who, with Daniel Bernoulli, established the law that the torque on a thin elastic beam is proportional to a measure of the elasticity of the material and the moment of inertia of a cross section, about an axis through the center of mass and perpendicular to the plane of the couple.
		Euler wrote Tentamen novae theoriae musicae in 1739 which was an attempt to combine mathematics and music; a biography comments that the work was "for musicians too advanced in its mathematics and for mathematicians too musical".
	www.ebroadcast.com.au /lookup/encyclopedia/eu/Euler.html (684 words)

	Leonhard Euler - Wikipedia, the free encyclopedia
		Leonhard Euler (pronounced [ˈɔʏlɐ], that is, Oiler) (Basel, Switzerland, April 15, 1707 – September 18, 1783 in St Petersburg, Russia) was a Swiss mathematician and physicist.
		Euler was at this point studying Theology, Greek and Hebrew on his father's urging, in the hopes of becoming a pastor.
		Euler was a staunch Christian and a biblical literalist (The Rettung was primarily an argument for the divine inspiration of scripture)
	en.wikipedia.org /wiki/Leonhard_Euler (3658 words)

	Euler - MSN Encarta
		Leonhard Euler (1707-1783), Swiss mathematician, whose major work was done in the field 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 master's degree at the age of 16.
		In 1727, at the invitation of Catherine I, empress of Russia, Euler became a member of the faculty of the Academy of Sciences in Saint Petersburg.
	encarta.msn.com /encyclopedia_761556057/Euler.html (306 words)

	PlanetMath: Euler, Leonhard
		Leonhard Euler was born on April the 15th 1707 as the son of a Protestant minister in Basel (Switzerland).
		Euler was the first to publish a systematic introduction to mechanics in 1736: “Mechanica sive motus scientia analytice exposita” (Mechanics or motion explained with analytical science (that is, calculus)).
		However it is said that Euler published some other (not really serious) proofs of the existence of God, which may well be, since at that time people were wondering about the possibility to give an algebraic proof of the existence of God.
	planetmath.org /encyclopedia/EulerLeonhard.html (700 words)

	Euler biography
		Their son Leonhard Euler was born in Basel, but the family moved to Riehen when he was one year old and it was in Riehen, not far from Basel, that Leonard was brought up.
		Euler wrote an article on acoustics, which went on to become a classic, in his bid for selection to the post but he was not chosen to go forward to the stage where lots were drawn to make the final decision on who would fill the chair.
		Euler was also helped by two other members of the Academy, W L Krafft and A J Lexell, and the young mathematician N Fuss who was invited to the Academy from Switzerland in 1772.
	www-history.mcs.st-andrews.ac.uk /Biographies/Euler.html (4269 words)

	Euler (crater) - Wikipedia, the free encyclopedia
		Euler is a lunar impact crater located in the southern half of the Mare Imbrium.
		The Euler crater rim is surrounded by a low rampart, and contain some slight terracing and slumped features on the irregular inner wall surface.
		In the middle of the small interior floor is a low central peak that formed from the rebound subsequent to the impact.
	en.wikipedia.org /wiki/Euler_(crater) (219 words)

	Leonhard Euler (1707-1783)
		Euler was born near Basel, Switzerland and raised in the village of Riehen.
		Whereas Euler's research continued at an astonishing pace, there were some problems encountered during the next period, including the death of Catherine I, a subsequent backlash against the foreigners who dominated the Academy, and in 1738 the first signs of failing eyesight, with the loss of sight from his right eye.
		Euler's work in St Petersburg continued at a breathtaking pace despite the death of his wife (he later married her half-sister) and the substantial loss of sight in his good eye, forcing him to dictate all of his writings to scribes.
	www.amt.canberra.edu.au /euler.html (1654 words)

	Leonard Euler
		Leonhard Euler was born in Basel (Switzerland), on 15 April 1707 and he died on 18 September 1783, in St Petersburg (Russia).
		Euler wrote an article on acoustics, but he was not chosen to go forward to the stage where lots were drawn to make the final decision on who would fill the chair.
		Euler became professor of physics at the academy in 1730 and, since this allowed him to became a full member of the Academy, he was able to give up his Russian navy post.
	mathsforeurope.digibel.be /Euler.html (2526 words)

	Fermat's Last Theorem: Leonhard Euler
		Euler was responsible for finding a proof for n=3 and for finding a method of proof using imaginary numbers.
		Euler was born on April 15, 1707 in Basel Switzerland.
		Euler invented the notation ƒ(x) for function (1734), e for natural logs (1727), i as the square root of -1 (1777), the notation π for pi, the notation Σ for summation (1755), and the notation for finite diferences ∇y and ∇
	fermatslasttheorem.blogspot.com /2005/05/leonhard-euler.html (740 words)

	LEONHARD EULER (Site not responding. Last check: 2007-09-19)
		Leonhard Euler (1707-1783) was arguably the greatest mathematician of the eighteenth century (His closest competitor for that title is Lagrange) and one of the most prolific of all time; his publication list of 886 papers and books may be exceeded only by Paul Erdös.
		The "Euler's formula" with which most American calculus students are familiar defines the exponentials of imaginary numbers in terms of trigonometric functions.
		Euler's study of the bridges of Königsberg can be seen as the beginning of combinatorial topology (which is why the Euler characteristic bears his name).
	www.usna.edu /Users/math/meh/euler.html (402 words)

	Leonhard Euler --Great Minds, Great Thinkers
		Leonhard Euler was born in Basel, Switzerland, but was raised on the town of Riehen (near Basel) by his mother Margret Brucker and father Paul Euler, a Lutheran minister.
		In 1741 Euler accepted a position at the Academy of Sciences in Berlin, however, due to various reasons, among which was the lack of the king's support, he returned to St.
		Euler also deduced the Euler equations, a set of laws of motion in fluid dynamics, formally identical to the Navier-Stokes equations, explaining, among other phenomena, propagation of the shock waves.
	www.edinformatics.com /great_thinkers/euler.htm (1527 words)

	Leonhard Euler
		Leonhard Euler, one of the most famous mathematicians of all time, was born in Basel, Switzerland, on April 15, 1707.
		Euler contributed to the subjects of geometry, calculus, trigonometry, and number theory.
		Euler suffered a stroke a died on September 18, 1783 in St. Petersburg.
	www.centennialofflight.gov /essay/Dictionary/Euler/DI144.htm (415 words)

	References for Euler
		C Grau, Leonhard Euler und die Berliner Akademie der Wissenschaften, in Ceremony and scientific conference on the occasion of the 200th anniversary of the death of Leonhard Euler (Berlin, 1985), 139-149.
		W Knobloch, Leonhard Eulers Wirken an der Berliner Akademie der Wissenschaften, 1741-1766, Studies in the History of the Academy of Sciences of the GDR 11 (Berlin, 1984).
		A P Yushkevich, Leonhard Euler - sein Leben und mathematisches Werk, in Ceremony and scientific conference on the occasion of the 200th anniversary of the death of Leonhard Euler (Berlin, 1985), 17-33.
	www-groups.dcs.st-and.ac.uk /~history/References/Euler.html (1152 words)

	Leonhard Euler Biography
		Euler was born in Switzerland, in the town of Basel, on the 15th of April 1707, in the family of a pastor.
		When Euler returned to Petersburg with his two elder sons they were given a two-storey house on the banks of the Neva and Euler given a position at the head of the Academy of Sciences.
		Euler took a very active role in the observation of the movement of Venus across the face of the sun, despite the fact that at this time he was nearly blind.
	www.pdmi.ras.ru /EIMI/EulerBio.html (836 words)

	BookRags: Leonhard Euler Biography
		Born in Basel, Switzerland, Euler achieved significant accomplishments in mathematics, particularly when it is considered that he was blind for the last seventeen years of his life.
		Euler returned to St. Petersburg in 1766; that same year he lost sight in his left eye, but continued working until his death in 1783.
		While Euler contributed to all fields of mathematics, he did much to advance the study of trigonometry, particularly what is known as spherical trigonometry.
	www.bookrags.com /biography/leonhard-euler-wsd (465 words)

	Leonhard Euler
		Leonhard Euler went to school in Basel, but the school was a rather poor one, and Euler learnt no mathematics.
		Euler also studied Fourier series, and he was the first to express an algebraic function by such a series.
		Euler made substantial contributions to differential geometry, investigating the theory of surfaces and curvature of surfaces.
	www.stetson.edu /~efriedma/periodictable/html/Er.html (917 words)

	Leonhard Euler (1707 - 1783)
		Leonhard Euler was born at Bâle on April 15, 1707, and died at St. Petersburg on September 7, 1783.
		Euler commenced this part by dividing curves into algebraical and transcendental, and established a variety of propositions which are true for all algebraical curves.
		This method is not convenient, but it was from Euler's results that Mayer constructed the lunar tables for which his widow in 1770 received 5000 pounds from the English parliament, and in recognition of Euler's services a sum of 300 pounds was also voted as an honorarium to him.
	www.maths.tcd.ie /pub/HistMath/People/Euler/RouseBall/RB_Euler.html (1819 words)

	Biography of Euler
		Leonhard Euler, from Basel, Switzerland, was one of the most prolific mathematicians of all time.He was born to Margaret and Reverend Paul Euler on April 15, 1707.
		Leonhard was married in Russia on January 7, 1734.
		The Euler Characteristic is, in math, is a number which is a characterization of the various classes of geometric figures.
	www.andrews.edu /~calkins/math/biograph/bioeuler.htm (1335 words)

	Leonhard Euler - Wikiquote
		Leonhard Euler (15 April 1707 – 18 September 1783) Swiss mathematician and physicist, considered to be one of the greatest mathematicians of all time.
		Euler and Ramanujan are mathematicians of the greatest importance in the history of constants (and of course in the history of Mathematics...)
		Euler calculated the force of the wheels necessary to raise the water in a reservoir … My mill was carried out geometrically and could not raise a drop of water fifty yards from the reservoir.
	en.wikiquote.org /wiki/Leonhard_Euler#Quotes_of_others_about_Euler (1171 words)

	Biography of Leonhard Euler
		Leonhard Euler, from Basel, Switzerland, was one of the most prolific mathematicians of all time.
		As Leonhard chose not to be in the ministry, he made many great advancements in the field of mathematics.
		Leonhard Euler was the first to prove that e is an irrational number.
	www.andrews.edu /~calkins/math/biograph/199899/bioeuler.htm (1119 words)

	Euler, Leonhard - HighBeam Encyclopedia (Site not responding. Last check: 2007-09-19)
		Euler was the most prolific mathematician who ever lived; his collected works run to more than seventy volumes.
		He contributed to numerous areas of both pure and applied mathematics, including the calculus of variations, analysis, number theory, algebra, geometry, trigonometry, analytical mechanics, hydrodynamics, and the lunar theory (calculation of the motion of the moon).
		Euler was one of the first to develop the methods of the calculus on a wide scale.
	www.encyclopedia.com /html/E/Euler-L1e.asp (329 words)

	Leonhard Euler (Site not responding. Last check: 2007-09-19)
		The greatest mathematician of the eighteenth century,Leonhard Euler was born in Basel, Switzerland.
		In 1731 Euler became a professor of physics and mathematics at St. Petersburg Academy of Sciences.
		Leonhard Euler died in 1783, leaving behind a legacy perhaps unmatched, and certainly unsurpassed, in the annals of mathematics.
	darkwing.uoregon.edu /~agrigas/110/p3/euler.htm (178 words)

	The Prime Glossary: Leonhard Euler (Site not responding. Last check: 2007-09-19)
		Leonhard Euler (pronounced OY luhr) was a Swiss mathematician who lived between 1707 and 1783.
		Euler was born in Basel, Switzerland and was famous for his exceptional output of original mathematics covering a wide range of subjects.
		Besides his many contributions to number theory, Euler made significant contributions to the areas of calculus, geometry, algebra, probability, acoustics, optics, mechanics, astronomy, artillery, navigation, statistics, and finance.
	primes.utm.edu /glossary/page.php?sort=Euler (75 words)

	Leonhard Euler
		Leibniz had argued from the series for log(1+x) that log(-1) is not equal to 0, but the series he had produced was diverging and Euler showed that Leibniz's procedure was invalid.
		When Euler came up with the correct form for the logarithm, it was not generally acceoted.
		Tobias Mayer was able to use Euler's Equations to produce tables of the Moon, which he sent to London in 1754.
	bdaugherty.tripod.com /swiss/euler.html (818 words)

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