
	Where results make sense

Topic: Paolo Ruffini

Related Topics

Quintic equation

Polynomial

Simon Stevin

Ichihara

Evert Horn

Parma

Gomory

Cremona

Geography of Ecuador

	Paolo Ruffini Summary
		Paolo Ruffini made significant contributions in the areas of medicine and philosophy, as well as mathematics, where he developed the theory that a quintic equation cannot be solved by radicals.
		Ruffini later developed the basic rule for determining the quotient and the remainder resulting from the division of a polynomial in the variable x by a binomial of the form x-a, using approximation by means of infinite algorithms.
		Paolo Ruffini (Valentano, 1765 – Modena, 1822) was an Italian mathematician and philosopher.
	www.bookrags.com /Paolo_Ruffini (1352 words)

	Paolo Ruffini
		Less known, however, is the fact that Ruffini published the now familiar "Horner's method" of approximation to the roots of numerical equations fifteen years before Horner's first paper on it appeared in the "Philosophical Transactions" of 1819 (pt.
		In 1804 the medal was awarded to Ruffini, and the dissertation was published under the title "Sopra la determinazione delle radice nelle equazioni numeriche di qualunque grado".
		Ruffini was during his whole life a zealous Catholic.
	www.catholicity.com /encyclopedia/r/ruffini,paolo.html (676 words)

	Ruffini biography
		Ruffini must have made a good job of the foundations of analysis course he took over from Cassiani for, on 15 October 1788, he was appointed professor of the foundations of analysis.
		Ruffini did not seem greatly disturbed by the loss of his chair, in fact he was a very calm man who took all the dramatic events around him in his stride.
		Ruffini asked the Institute in Paris to pronounce on the correctness of his proof and Lagrange, Legendre and Lacroix were appointed to examine it.
	www-history.mcs.st-andrews.ac.uk /Biographies/Ruffini.html (2191 words)

	Paolo Soleri - Search Results - MSN Encarta
		Soleri, Paolo, born in 1919, Italian American architect, known for his visionary architectural theories.
		Uccello, Paolo (1397?-1475), Italian Renaissance painter, notable for innovations in the use of foreshortening and linear perspective.
		Ruffini, Paolo (1765-1822), Italian physician and mathematician, born in Valentano, Papal States, and educated at the University of Modena where he...
	ca.encarta.msn.com /Paolo_Soleri.html (89 words)

	Paolo Ruffini (Site not responding. Last check: 2007-10-12)
		Paolo Ruffini entered the University of Modena in 1783 where he studied mathematics, medicine, philosophy and literature.
		In 1799, Ruffini published a book on the theory of equations with his claim that quintics could not be solved by radicals.
		Ruffini is the first to introduce the notion of the order of an element, conjugacy, the cycle decomposition of elements of permutation groups and the notions of primitive and imprimitive.
	www.stetson.edu /~efriedma/periodictable/html/Rf.html (600 words)

	Ruffini, Paolo (Site not responding. Last check: 2007-10-12)
		Ruffini was born in Valentano, Viterbo, and studied at Modena.
		Ruffini made a substantial contribution to the theory of equations, developing the so-called theory of substitutions, which was the forerunner of modern group theory.
		In addition, Ruffini considered the possibility that living organisms had come into existence as the result of chance, thus anticipating more modern work on probability.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/R/Ruffini/1.html (175 words)

	Paolo Ruffini
		Paolo Ruffini (1765-1822) nació en Valentino (Italia).El padre de Paolo Ruffini era medico y su familia vivió en Valentino para trasladarse sucesivamente a Regio y después a Modena mientras que Ruffini iba realizando sus estudios básicos para ingresar en la universidad de la última ciudad con 18 años.
		Sin embargo, durate aquellos largos años Ruffini desarrolló un método, muy popular desde entonces, para calcular por semi-tanteo, las raíces de polinomios (lo cual se considerá una muy buena aproximación a la fórmula inexistente para encontrar las soluciones de una ecuación).
		Paolo Ruffini fue nombrado en 1814, rector de la Universidad de Módena, a la vez que ejerció sus conocimientos de medicina tratando de sanar a los múltiples enfermos que se desencadenaron a raíz de una fuerte epidemia de tifus.
	olmo.pntic.mec.es /~dmas0008/matematicos/ruffini.htm (463 words)

	Abel-Ruffini theorem
		In the modern analysis, the reason that second, third and fourth degree polynomial equations can always be solved by radicals while higher degree equations cannot is nothing but the algebraic fact that the symmetric groups S
		The theorem was first proved by Paolo Ruffini[?] in 1799, but his proof was mostly ignored.
		While it contained a minor gap, it was quite innovative in using permutation groups.
	www.ebroadcast.com.au /lookup/encyclopedia/ab/Abel-Ruffini_theorem.html (379 words)

	Ruffini Paolo - Search Results - MSN Encarta (Site not responding. Last check: 2007-10-12)
		Ruffini Paolo - Search Results - MSN Encarta
		Ruffini, Paolo (1765-1822), Italian doctor and mathematician, born in Valentano, Papal States, and educated at the University of Modena, where he...
		A method of solving quadratic equations based on formula (3) was known to the Sumerians, around 2000 bc.
	uk.encarta.msn.com /Ruffini_Paolo.html (93 words)

	Valentano - Paolo Ruffini - La Regola di Ruffini
		Paolo Ruffini nacque a Valentano il 23 Settembre 1765.
		Ruffini voleva prendere gli ordini, divenne anche chierico, ma cambiò idea e decise di intraprendere gli studi di matematica e di medicina all’Università di Modena, dove si era trasferito con la famiglia.
		L’Università venne chiusa da Napoleone, e Ruffini insegnò nella nuova Scuola Militare; nel 1814 il duca Francesco IV fece riaprire l’Università e Ruffini fu nominato rettore a vita, ed ebbe le cattedre di Medicina Pratica e Matematica Applicata.
	www.valentano.org /regola_ruffini.htm (599 words)

	Paolo Palmieri - Department of History and Philosophy of Science
		Some believe that Paolo Ruffini (1765-1822) was the first to prove that the quintic cannot be solved in radicals.
		Ruffini and Malfatti disagreed because they claimed different rights within the field of algebraic practice at the turn of the eighteenth century.
		This course explores the fascinating intersection of artistic and scientific pursuits in the Renaissance, with special emphasis on the contribution that the visual arts gave to the rise of modern science.
	www.pitt.edu /~pap7 (1248 words)

	RUFFINI, Paolo, Teoria Generale delle Equazioni, in cui si dimostra impossibile la soluzione algebraica dell equazioni ... (Site not responding. Last check: 2007-10-12)
		RUFFINI, Paolo, Teoria Generale delle Equazioni, in cui si dimostra impossibile la soluzione algebraica dell equazioni generali di grado superiore al quarto...
		Ruffini's results were received with extreme reserve and suspicion by almost every leading mathematician.
		Following its independent demonstration by Abel in 1824, the theorem eventually took its place in the general theory of the solubility of algebraic equations that Galois constructed on the basis of the theory of permutation groups' (DSB, q.v.
	www.polybiblio.com /watbooks/2253.html (303 words)

	Paolo Ruffini - Moviefone
		If you think a reference to this article on Paolo Ruffini will enhance your...
		Ruffini, Paolo Italian mathematician and physician who made studies of...
		Paolo Ruffini - Filmography, Biography, News, Photos, Birth date, Relationships, Paolo Ruffini Film Clips, and Fun Facts on Moviefone.
	movies.aol.com /celebrity/paolo-ruffini/421523/main (68 words)

	Biografía matemáticos: Paolo Ruffini Matemático (3/3) (Site not responding. Last check: 2007-10-12)
		Esta cuestión mantuvo ocupado a Paolo Ruffini durante buena parte de su vida.
		En su demostración Ruffini se apoyó en algunos resultados de Lagrange sobre grupos de permutaciones pero también utilizó conceptos, procedimientos y teoremas originales de Teoría de Grupos (véase el cuadro adjunto).
		Ruffini reclamó haber demostrado que la ecuación general de quinto grado es irresoluble por radicales; sin embargo, su prueba no fue concluyente dado que se basaba en la hipótesis de que estos radicales se pueden expresar como funciones racionales de las raíces.
	www.divulgamat.net /weborriak/Historia/MateOspetsuak/Ruffini3.asp (819 words)

	Paolo RUFFINI
		La demostración de Ruffini fue, sin embargo, incompleta.
		La regla de Ruffini se utiliza fundamentalmente cuando el polinomio dividendo tiene como única letra (variable) la x y el ya citado divisor (x - a).
		Con posterioridad se han encontrado documentos antiguos de matemáticos chinos y árabes donde aparecen aplicaciones de la regla atribuida a Ruffini.
	suanzes.iespana.es /ruffini.htm (555 words)

	Valentano - Paolo Ruffini
		Nato a Valentano il 22 settembre 1765, Ruffini divenne professore di matematica a Modena nel 1787 ad appena 22 anni.
		Il Ruffini viene ricordato per essere stato il primo a compiere studi ed effettuare dimostrazioni sulla teoria dei gruppi e sull'impossibilità di risolvere le equazioni di quinto grado con i radicali.
		La "regola di Ruffini" spiegata da un esperto, con esempi pratici
	www.valentano.org /pruffini.htm (133 words)

	Ruffini's rule - Wikipedia, the free encyclopedia
		2.2.3.2 Finding roots applying Ruffini's Rule and obtaining a (complete) factorization
		The rule establishes a method for dividing the polynomial
		[edit] Finding roots applying Ruffini's Rule and obtaining a (complete) factorization
	en.wikipedia.org /wiki/Ruffini's_rule (1723 words)

	Paolo Ruffini - Search Results - MSN Encarta
		Search for books about your topic, "Paolo Ruffini"
		How well did we match your search term?
		Weapons of the Future on the Discovery Channel
	encarta.msn.com /Paolo_Ruffini.html (112 words)

	Valentano - Il discorso funebre per Paolo Ruffini (Site not responding. Last check: 2007-10-12)
		Valentano - Il discorso funebre per Paolo Ruffini
		Un libro di Vicente Meavilla Seguì su Paolo Ruffini
		Il celebre matematico Paolo Ruffini, nato nel nostro paese, è il protagonista di un libro appena pubblicato.
	www.valentano.org /ruffini_libro.htm (155 words)

	Paolo Ruffini (Site not responding. Last check: 2007-10-12)
		Almost a high school drop out in his senior year, Paolino loves cinema...
		Discuss this person with other users on IMDb message board for Paolo Ruffini
		Find where Paolo Ruffini is credited alongside another name
	imdb.com /name/nm0749303 (104 words)

	- Sportingo
		The place you get to comment, rate and write about sport.
		Home / Football / Serie A / Parma / Paolo Ruffini
		Fletcher hits out at claims England gave up
	www.sportingo.com /paolo-ruffini/1100,458221,1 (103 words)

	Universo : Turin : Italy - Hotels Guide by BootsnAll
		"Hotel Universo is in the residential area San Paolo Ruffini, only 3 km from the historic centre and the main monuments of Turin.
		Furthermore it is located close to the Palazzetto dello Sport and the Ruffini Park.
		The complex has recently been restored and offers a modern and comfortable environment."
	www.bootsnall.com /hotels/hv/5868/Universo (107 words)

Try your search on: Qwika (all wikis)