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Topic: Adrien Marie Legendre

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	Adrien Marie Legendre - LoveToKnow 1911
		ADRIEN MARIE LEGENDRE (1752-1833), French mathematician, was born at Paris (or, according to some accounts, at Toulouse) in 1752.
		Legendre was also the author of a memoir upon triangles drawn upon a spheroid.
		Legendre's theorem is a fundamental one in geodesy, and his contributions to the subject are of the greatest importance.
	www.1911encyclopedia.org /Adrien_Marie_Legendre (1843 words)

	Legendre biography
		In 1770, at the age of 18, Legendre defended his thesis in mathematics and physics at the Collège Mazarin but this was not quite as grand an achievement as it sounds to us today, for this consisted more of a plan of research rather than a completed thesis.
		Legendre's work replaced Euclid's "Elements" as a textbook in most of Europe and, in succeeding translations, in the United States and became the prototype of later geometry texts.
		Gauss was correct, but one could understand how hurtful Legendre must have found an attack on the rigour of his results by such a young man. Of course Gauss did not state that he was improving Legendre's result but rather claimed the result for himself since his was the first completely rigorous proof.
	www-history.mcs.st-andrews.ac.uk /Biographies/Legendre.html (1850 words)

	Adrien-Marie Legendre
		Most of his work was brought to perfection by others: his work on roots of polynomials inspired Galois theory; Abel's work on elliptic functions was built on Legendre's; some of Gauss' work in statistics and number theory completed that of Legendre.
		Legendre did an impressive amount of work on elliptic functions, including the classification of elliptic integrals, but it took Abel's stroke of genius to study the inverses of Jacobi's functions and solve the problem completely.
		In theoretical mechanics, he is known for the Legendre transform[?], which is used to go from the Lagrangian to the Hamiltonian formulation of mechanics.
	www.ebroadcast.com.au /lookup/encyclopedia/le/Legendre.html (189 words)

	Legendre, Adrien Marie (Site not responding. Last check: 2007-10-07)
		Legendre received an education in mathematics that was unusually advanced for the Paris schools in the eighteenth century.
		Legendre was a quick student and graduated at a young age.
		Legendre encountered and developed polynomials, today named for him, in his research on the gravitational attraction of ellipsoids.
	www.iasbs.ac.ir /faculty/pirayesh/calculus_thomas/content/b_histbiogs/bios/legendre.htm (148 words)

	ADRIEN MARIE LEGENDRE ... - Online Information article about ADRIEN MARIE LEGENDRE ...
		Legendre's researches connected with the " gamma function " are of importance, and are well known; the subject was also treated by K.
		Geodesy.—Besides the work upon the geodetical operations connecting Paris and Greenwich, of which Legendre was one of the authors, he published in the Memoires de l'Academie for 1787 two papers on trigonometrical operations depending upon the figure of the earth, containing many theorems relating to this subject.
		Laplace also justified the method by means of the principles of the theory of probability; and this led Legendre to republish the part of his Nouvelles Methodes which related to it in the Memoires de l'Academie for 181o.
	encyclopedia.jrank.org /LAP_LEO/LEGENDRE_ADRIEN_MARIE_17521833_.html (2642 words)

	Adrian Marie Legendre (1752 - 1833)
		Adrian Marie Legendre was born at Toulouse on September 18, 1752, and died at Paris on January 10, 1833.
		Legendre's analysis is of a high order of excellence, and is second only to that produced by Lagrange and Laplace, though it is not so original.
		Legendre's investigations had commenced with a paper written in 1786 on elliptic arcs, but here and in his other papers he treated the subject merely as a problem in the integral calculus, and did not see that it might be considered as a higher trigonometry, and so constitute a distinct branch of analysis.
	www.maths.tcd.ie /pub/HistMath/People/Legendre/RouseBall/RB_Legendre.html (1138 words)

	Kids.Net.Au - Encyclopedia > Legendre polynomials
		The Legendre differential equation may be solved using the standard power series method.
		An important property of the Legendre polynomials is that they are orthogonal with respect to the L
		http://www.octave.org Both Legendre polynomials and associated Legendre polynomials can be numerically evaluated using the GPL octave function legendre of the octave-forge/specfun contribution to octave-2.1.35 or later.
	www.kids.net.au /encyclopedia-wiki/le/Legendre_polynomials (237 words)

	Adrien-Marie Legendre Summary
		Legendre's interest in celestial mechanics eventually led to two further papers, one on the attraction of certain ellipsoids, and the other on the form and density of fluid planets.
		Legendre began both investigations in the mid-1780s, although it was not until later that he made his most significant contributions.
		Legendre succeeded Laplace as the examiner in mathematics of students assigned to the artillery in 1799, a position he held until 1815.
	www.bookrags.com /Adrien-Marie_Legendre (2649 words)

	Adrien-Marie Legendre
		At the age of 18, Legendre defended his thesis in mathematics and physics there but this was not quite as grand an achievement as it sounds to us today, for this consisted more of a plan of research rather than a completed thesis.
		Legendre became an associé in 1785, and then in 1787 he was a member of the team to make measurements of the Earth involving a triangulation survey between the Paris and Greenwich observatories.
		In 1791, Legendre became a member of the committee of the Académie des Sciences with the task to standardise weights and measures.
	www.stetson.edu /~efriedma/periodictable/html/Nd.html (564 words)

	Reference.com/Encyclopedia/Adrien-Marie Legendre
		Most of his work was brought to perfection by others: his work on roots of polynomials inspired Galois theory; Abel's work on elliptic functions was built on Legendre's; some of Gauss' work in statistics and number theory completed that of Legendre.
		Legendre did an impressive amount of work on elliptic functions, including the classification of elliptic integrals, but it took Abel's stroke of genius to study the inverses of Jacobi's functions and solve the problem completely.
		He is known for the Legendre transform, which is used to go from the Lagrangian to the Hamiltonian formulation of classical mechanics.
	www.reference.com /browse/wiki/Legendre (449 words)

	Legendre
		Lagrange was Director of Mathematics at the Academy in Berlin and this brought Legendre to his attention.
		Gauss did not state that he was improving Legendre's result but rather claimed the result for himself since his was the first completely rigorous proof.
		Gauss would claim that he had obtained the law for the asymptotic distribution of primes before Legendre, but certainly it was Legendre who first brought these ideas to the attention of mathematicians.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Legendre.htm (1717 words)

	Adrien-Marie Legendre
		Legendre's researches connected with the gamma function are of importance, and are well known; the subject was also treated by Carl Friedrich Gauss in his memoir Disquisitiones Generales Circa Series Infinitas (1816), but in a very different manner.
		Legendre's name is most widely known on account of his Eléments de Géométrie, the most successful of the numerous attempts that have been made to supersede Euclid as a text-book on geometry.
		It will thus be seen that Legendre's works have placed him in the very foremost rank in the widely distinct subjects of elliptic functions, theory of numbers, attractions, and geodesy, and have given him a conspicuous position in connection with the integral calculus and other branches of mathematics.
	www.nndb.com /people/891/000093612 (1750 words)

	Legendre.htm
		Legendre's major work on elliptic functions in Exercises du Calcul Intégral appeared in three volumes in 1811, 1817, and 1819.
		In the first volume Legendre introduced basic properties of elliptic integrals and also of beta and gamma functions.
		Legendre polynomials form an orthonormal basis for the vector space of polynomials.
	www.cse.ohio-state.edu /~brinkmei/math/Legendre.htm (136 words)

	Adrien-Marie Legendre
		Adrien-Marie Legendre is one of the topics in focus at Global Oneness.
		The strategy behind the use of Legendre transforms is to shift the dependence of a function from one independent variable to another by taking the difference between the original function and their product.
		The shifted Legendre polynomials are defined as being orthogonal on the unit interval [0,1] An explicit expression for these polynomials is given by The analogue of Rodrigues' formula for the shifted Legendre polynomials is: The first few shifted Legendre polynomials are:...
	www.experiencefestival.com /adrien-marie_legendre (1897 words)

	Adrien Marie Legendre - bedeutung definition erklärung glossar zu Adrien Marie Legendre (Site not responding. Last check: 2007-10-07)
		Adrien Marie Legendre - bedeutung definition erklärung glossar zu Adrien Marie Legendre
		Besondere Verdienste erwarb sich Legendre durch seine Arbeiten über elliptische Integrale und durch seine Untersuchungen über elliptische Sphäroide.
		1830 Legendre findet ein weiteres Paar von befreundeten Zahlen
	adrien_marie_legendre.lexikona.de /art/Adrien_Marie_Legendre.html (316 words)

	Adrien Marie Legendre Die - Great UK Deals
		Legendre, né le 18 septembre 1752 à Paris et mort le 10 janvier...
		Legendre wrote his Elements de geometrie (1794), in......
		Legendre ist namentlich auf dem Eiffelturm verewigt, siehe:
	www.findspot.com /adrien-marie-legendre-die.htm (136 words)

	Adrien-Marie Legendre
		Der Artikel Adrien-Marie Legendre gehört zur Kategorie: Mann, Franzose, Mathematiker, Geboren 1752, Gestorben 1833
		Besondere Verdienste erwarb sich Legendre durch seine Arbeiten über elliptische Integrale und durch seine Untersuchungen über elliptische Sphäroide.
		1830 Legendre findet ein weiteres Paar von befreundeten Zahlen
	www.kalkriese.de /Adrien-Marie_Legendre.html (352 words)

	Fermat's Last Theorem: Adrien-Marie Legendre
		Legendre's reputation was made when he was able to win the Berlin Academy Prize in 1782.
		It is clear that Legendre was not happy with Gauss's words but in 1808, when Legendre came out with the next version of his textbook on number theory, he included Gauss's proof instead of his own.
		Legendre was fascinated by Euclid's parallel postulate and for many years attempted to provide a proof.
	fermatslasttheorem.blogspot.com /2005/10/adrien-marie-legendre.html (590 words)

	Legendre, Adrien-Marie (Site not responding. Last check: 2007-10-07)
		Legendre was born in Paris and studied there at the Collège Mazarin.
		In number theory his most significant result was the law of reciprocity of quadratic residues (established more firmly by German mathematician Karl Gauss 1801) and the law of the distribution of prime numbers 1798.
		In his school textbook Eléments de géometrie 1794, Legendre gave the single proof of the irrationality of and the first proof of the irrationality of 2.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/L/Legendre/1.html (156 words)

	PlanetMath: Adrien-Marie Legendre (Site not responding. Last check: 2007-10-07)
		A mistake in office politics in 1824 led to the loss of his pension and he lived the rest of his years in poverty.
		Two streets in Paris are named after Legendre as well as a lunar crater.
		This is version 2 of Adrien-Marie Legendre, born on 2007-02-03, modified 2007-02-03.
	planetmath.org /encyclopedia/AdrienMarieLegendre.html (197 words)

	Adrien Marie Legendre (Site not responding. Last check: 2007-10-07)
		Most of his work was brought to perfection by others: his work on roots of polynomials inspired Galois theory ; Abel 's work on ellipticfunctions was built on Legendre's; some of Gauss ' workin statistics and number theory completed that of Legendre.
		Legendre did an impressive amount of work on elliptic functions, including the classification of elliptic integrals, but it took Abel's stroke of genius to study theinverses of Jacobi 's functions and solve theproblem completely.
		In theoretical mechanics, he is known for the Legendre transform, which is used to go from the Lagrangian to theHamiltonian formulation of mechanics.
	www.therfcc.org /adrien-marie-legendre-106145.html (214 words)

	PowerPoint Presentation
		Adrien Marie Legendre was a famous French mathematician who was born in September 18, 1752 at Paris.
		Legendre had also published Éléments de géométrie (Elements of Geometry), a reorganization and simplification of the propositions from Euclid’s Elements that was widely adopted in Europe, even thought it is full of fallacious attempts to defend the parallel postulate.
		He also gave a simple proof that π is irrational, as well as the first proof that π2 is irrational, and he conjectured that π is not the root of any algebraic equation of finite degree with rational coefficients.
	www2.nvnet.org /nvhs/dept/math/MathProject/Index_files/slide0046.htm (296 words)

	Legendre
		In 1791 Legendre became a member of the committee of the Académie des Sciences that worked to standardize weights and measures using the metric system.
		Legendre Legendre published Elélments de géométrie in 1794, which became the leading textbook on geometry for the next 100 years.
		Legendre has proved theorem 5.1 (p158) that states: For any acute angle A and any point D in the interior of angle A, there exists a line through D and not through A which intersects both sides of angle A, which proves that the angle sum of every triangle is 180 degrees.
	home.southernct.edu /~uptond1/Mat360project.html (622 words)

	Legendre Polynomials (Site not responding. Last check: 2007-10-07)
		One of the varieties of special functions which are encountered in the solution of physical problems is the class of functions called Legendre polynomials.
		From the Legendre polynomials can be generated another important class of functions for physical problems, the associated Legendre functions.
		The associated Legendre functions can be used to construct another important set of functions, the spherical harmonics.
	hyperphysics.phy-astr.gsu.edu /hbase/math/legend.html (255 words)

	matematicos
		Legendre fue asignado a la Academia de Ciencias en 1783 y permaneció allí hasta el término de 1793.
		En el 1782 Legendre determinó la fuerza de atracción para ciertos sólidos de revolución al introducir una serie infinita de polinomios Pn la cual es conocida ahora como Polinomios de Legendre.
		En 1824 Legendre se rehusó a votar por el candidato a gobernante del Instituto Nacional.
	www.mat.usach.cl /histmat/html/lege.html (226 words)

	AllRefer.com - Adrien Marie Legendre (Mathematics, Biography) - Encyclopedia
		Adrien Marie Legendre[AdrEaN´ mArE´ luzhAN´dru] Pronunciation Key, 1752–1833, French mathematician.
		He is noted especially for his work on the theory of numbers, on which he wrote an essay (1798) containing the law of quadratic reciprocity as well as several supplements, all later incorporated in a definitive work, ThEorie des nombres (1830).
		More articles from AllRefer Reference on Adrien Marie Legendre
	reference.allrefer.com /encyclopedia/L/Legendre.html (225 words)

	Highbeam Encyclopedia - Search Results for Legendre, (Site not responding. Last check: 2007-10-07)
		Legendre at Amazon.com Buy books at Amazon.com and save.
		Legendre, Adrien Marie The Columbia Encyclopedia, Sixth Edition...
		He is noted especially for his work on the theory of numbers, on which he wrote an essay (1798) containing the law of quadratic reciprocity as well as several supplements, all later incorporated in a definitive work, Théorie des nombres (1830).
	www.encyclopedia.com /SearchResults.aspx?Q=Legendre, (464 words)

	Legendre Polynomials
		Our final construction will use Legendre polynomials that were first studied by the French mathematician
		they are called the Legendre polynomials, and form a basis for the set of polynomials and power series over the interval
		Compare the "discrete interpolation polynomial" and "Legendre series approximation," on the interval
	math.fullerton.edu /mathews/n2003/LegendrePolyMod.html (486 words)

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