1. CATHOLIC ENCYCLOPEDIA: Paolo Ruffini Paolo Ruffini. Physician FANTONETTI, Note storiche sopra i socj defuntiPaolo Ruffini in Mem. Imp. Reg. Ist. del Regno Lomb. Ven http://www.newadvent.org/cathen/13220b.htm

Home Encyclopedia Summa Fathers ... R > Paolo Ruffini A B C D ... Z Paolo Ruffini Physician and mathematician, b. at Valentano in the Duchy of Castro, 3 Sept., 1765; d. at Modena, 10 May, 1822. At first he intended to enter Holy orders and went so far as to receive the tonsure, but changing his mind, he began the study of mathematics and medicine in the University of Modena, where he received the degree of doctor. At the age of twenty-three he was appointed professor of analysis after having substituted for a year for his teacher Cassiani. In 1791, the chair of elementary mathematics was entrusted to him. In the meantime, he did not neglect the study and practice of medicine. At the time of the French invasion of Italy (1796), he was unexpectedly appointed a member of the Juniori Pius VII FANTONETTI, Note storiche sopra i socj defunti: Paolo Ruffini in Mem. Imp. Reg. Ist. del Regno Lomb. Ven. , V (1838), 40-41; LOMBARDI, Notizie sulla vita di Paolo Ruffini (Florence, 1824); POGGENDORF, (1858-63); CAJORI, Horner's Method of Approximation Anticipated by Ruffini in Bull. of American Math. Soc.

2. Paolo Ruffini Paolo Ruffini. 17651822. Paolo Ruffini entered the University of Modena in1783 where he studied mathematics, medicine, philosophy and literature. http://www.stetson.edu/~efriedma/periodictable/html/Rf.html

Paolo Ruffini Paolo Ruffini entered the University of Modena in 1783 where he studied mathematics, medicine, philosophy and literature. Among his teachers of mathematics at Modena were Luigi Fantini, who taught Ruffini geometry, and Paolo Cassiani, who taught him calculus. In 1788, Ruffini graduated with a degree in philosophy, medicine and surgery. Soon after this he graduated with a mathematics degree. He was appointed professor of the foundations of analysis, and then in 1791, Ruffini was appointed Professor of the Elements of Mathematics. In 1798, he was required to swear an oath of allegiance to the republic and this Ruffini found he could not bring himself to do on religious grounds. By failing to swear the oath he lost his professorship and was barred from teaching. Ruffini used group theory in his work but he had to invent the subject for himself. Lagrange had used permutations and one can argue that groups appear in Lagrange's work but since Lagrange never composed permutations it is rather with hindsight that we now see the beginnings of group theory in his paper. 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. He proved, among other things, that the order of a permutation is the least common multiple of the lengths in the decomposition into disjoint cycles, and that S has no subgroups of index 3, 4 or 8.

3. Ruffini Paolo Ruffini. Born Paolo Ruffini s father, Basilio Ruffini, was a medicaldoctor in Valentano. As a young child Paolo was 4 .. of http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Ruffini.html

Paolo Ruffini Born: 22 Sept 1765 in Valentano, Papal States (now Italy) Died: 10 May 1822 in Modena, Duchy of Modena (now Italy) Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Paolo Ruffini 's father, Basilio Ruffini, was a medical doctor in Valentano. As a young child Paolo was [4]:- ... of a mystical temperament and appeared to be destined for the priesthood... The family moved to Reggio, near Modena in the Emilia-Romagna region of northern Italy, when Paolo was a teenager. He entered the University of Modena in 1783 where he studied mathematics, medicine, philosophy and literature. Among his teachers of mathematics at Modena were Luigi Fantini, who taught Ruffini geometry, and Paolo Cassiani, who taught him calculus. The Este family ruled Modena and, in 1787, Cassiani was appointed as a councillor for the Este estates. Cassiani's course at Modena on the foundations of analysis was taken over by Ruffini in 1787-88 although he was still a student at this time. On 9 June 1788 Ruffini graduated with a degree in philosophy, medicine and surgery. Soon after this he graduated with a mathematics degree. 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. Fantini, who had taught Ruffini geometry when he was an undergraduate, found his eyesight deteriorating and in 1791 he had to resign his post at Modena. Ruffini was appointed to fill the position of Professor of the Elements of Mathematics in 1791. However, Ruffini was not only a mathematician. He had trained in medicine and, also in 1791, he was granted a licence to practice medicine by the Collegiate Medical Court of Modena.

4. RUFFINI PAOLO., Riflessioni Intorno Alla Soluzione Delle Equazioni Algebriche Ge Translate this page Libreria Antiquaria Mediolanum. ruffini paolo. Modena, Societ· Tipografica, 1805.(Unito) Riflessioni di Paolo Ruffini intorno al metodo proposto dal Sig. http://www.polybiblio.com/mediolan/CAT.23 N.168.html

Libreria Antiquaria Mediolanum RUFFINI PAOLO. Riflessioni intorno alla soluzione delle equazioni algebriche generali. Modena, Societ· Tipografica, 1813. Tre volumi in due in-4ì; VIII, 140 pp., 1 c., 1 tavola numerica ripiegata f.t. - 58 pp., 1 c. (bianca) - 18 pp., 1 c. (bianca); legatura originale in cartoncino. Bell'esemplare a pieni margini parzialmente intonso. This item is listed on Bibliopoly by Libreria Antiquaria Mediolanum ; click here for further details.

5. Paolo Ruffini - Wikipedia, The Free Encyclopedia Not logged in Log in Help. Paolo Ruffini. (Redirected from Ruffini). PaoloRuffini (17651822) was an Italian mathematician and philosopher. http://en.wikipedia.org/wiki/Ruffini

Paolo Ruffini From Wikipedia, the free encyclopedia. (Redirected from Ruffini Paolo Ruffini ) was an Italian mathematician and philosopher . Among his work was the proof that the quintic equation cannot be solved by radicals This article is a stub . You can help Wikipedia by expanding it Views Article Discussion Edit History Personal tools Log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Special pages This page was last modified 23:23, 23 Mar 2004. All text is available under the terms of the GNU Free Documentation License (see for details). About Wikipedia

6. VITERBO Translate this page ruffini paolo. Barbensi Gustavo, Paolo Ruffini, Modena, Tip. Ed. Modenese,1956, X, pp. 131. Luzi Romualdo- Mancini Bonafede, Paolo http://www.provveditoratostudiviterbo.it/Ricerche storiche/viterbo.htm

VITERBO BURATTI Mariano Biblioteca e Società ins. 11,11 Di Porto Bruno, La Resistenza nel Viterbese , Quaderni della Resistenza laziale n° 3, Roma, Stilgraf, 1977, pp. 33-34, pp. 153-155, doc. n. 48; pp. 173-174, doc. n. 59. Sguario Giovanni Battista, Mariano Buratti e la banda del Cimino , in ‘Biblioteca e Società’, XII, 3-4, 27. FEDI Pio Freddi Cavalletti A., Pio Fedi , in ‘Viterbo. Bollettino municipale’, , agosto 1934. Signorelli Mario, Storia breve di Viterbo , Viterbo, Agnesotti, 1965, pp. 386-387 Barbini Bruno-Faldi Italo, Pio Fedi , inserto 17 di ‘Biblioteca e Società’, XII, 1-2. Narcisi Flavia, Le furie di Atamante: l’ultima scultura di Pio fedi ritrovata dopo un secolo negli Stati Uniti , in Biblioteca e Società’, XVI, 3, 41. GRANDORI Alceste Cento Alfredo, Don Alceste Grandori , Viterbo, Quatrini, 2002. ORIOLI Francesco (scheda) Freddi Cavalletti A. , Un enciclopedico: F. Orioli , in ‘Viterbo, Bollettino municipale’, gennaio 1934. Libri e manoscritti di Francesco Orioli (1783-1856). Catalogo della mostra a cura di Attilio Carosi. Barbini Bruno

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ORGANIGRAMMA DEL COMUNE DI POMEZIA - UFFICI ED ORARI Comune di Pomezia Provincia di Roma Sindaco Avv. Maurizio Aureli Giunta Sig. Antonio Di Carlo (Vice Sindaco) Dott. Maurizio Sbaraglia (Assessore) Prof. Corrado Ceglie (Assessore) Sig. Michele Conte (Assessore) Sig. Stefano Marchetti (Assessore) Sig. Egidio Furgani (Assessore) Delegato per Torvajanica: Albanese Giorgio (consigliere comunale) Consiglio Comunale Presidente: Renzo Antonini Vice Presidenti: Lamanna Francesco - Busti Alessandro Consiglieri Comunali: Antonini Renzo - Boscherini Armando - Busti Alessandro - Capelli Loredana - Caponetti Claudio - Carletti Gianfranco - Celori Luigi - Chiarello Francesco - Ciccolini Massimo - D’alessandri Fiorenzo - De Lorenzi Fabrizio - Del Fiume Alberto - Di Giulio Ennio - Ferro Gaetano - Frisicaro Rosario - Iacuaniello Caterina - Lamanna Francesco - Leonori Flavio - Mambelli Roberto - Manzi Roberto - Mauro Vincenzo - Nardi Amedeo - Nobili Italo - Penna Gaetano - Ruffini Paolo - Santini Muratori Luca - Schiumarini Omero – Toce Pietro – Ubaldo Calzetta – Valentini Paolo Capi Gruppo: P.P.I.

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9. 1800-1849 Translate this page Elenco cronologico dei soci nazionali 1800/1849. Fabbroni Giovanni. 1800.Firenze. ruffini paolo. 1800. Modena. Giovene Giuseppe Maria. 1800. Molfetta. http://www.accademiaxl.it/Accademia/Soci/Elenco/1800_1849.htm

Home Accademia Soci Elenco Cronologico Elenco cronologico dei soci nazionali 1800/1849 Fabbroni Giovanni Firenze Ruffini Paolo Modena Giovene Giuseppe Maria Molfetta Racagni Giuseppe Maria Milano Pessuti Gioacchino Roma Piazzi Giuseppe Genova Araldi Michele Bologna Brugnatelli Luigi Pavia Venturoli Giuseppe Bologna Caldani Floriano Padova Poli Giuseppe Saverio Napoli Targioni-Tozzetti Ottaviano Firenze Aldini Giovanni Bologna Bondioli Pierantonio Padova Re Filippo Bologna Dandolo Vincenzo Zara Rubini Pietro Parma Brunacci Vincenzo Pavia Brera Valeriano Luigi Padova Paradisi Giovanni Milano Gallini Stefano Padova Magistrini Giovanni Battista Bologna Avanzini Giuseppe Padova Manzoni Antonio Verona Morichini Domenico 1814 Roma Mengotti Francesco Venezia Paradisi Giovanni Torino Collalto Antonio Padova Santini Giovanni Padova Carlini Francesco Milano Carradori Giovacchino Prato Configliachi Pietro Pavia Bordoni Anton Maria Pavia Raddi Giuseppe Firenze Malacarne Vincenzo Gaetano Padova Fattori Santo Modena Lombardi Antonio Modena Ranzani Camillo Bologna Tramontini Giuseppe Modena Amici Giovanni Battista Modena Tommasini Giacomo Bologna Calandrelli Giuseppe Roma Rangoni Luigi Modena Zamboni Giuseppe Verona Avogadro Amedeo Torino Bidone Giorgio Torino Mossotti Ottaviano Fabrizio

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14. Consiglio Comunale Translate this page SOLIDARIETA´ E PROGRESSO. Ruffini Mario. PER CAMBIARE. ruffini paolo. SOLIDARIETA´E PROGRESSO. Ruscelli Elisa. SOLIDARIETA´ E PROG\RESSO. Sisti Paola. http://www.comune.santostefanodimagra.sp.it/html/body_consiglio_comunale.html

Lista Nominativi Partito SOLIDARIETA´ E PROGRESSO Mosca Minella SOLIDARIETA´ E PROGRESSO Alberghi Roberto PER CAMBIARE Angeli Brunella PER CAMBIARE Baruzzo Sauro SOLIDARIETA´ E PROGRESSO Battistini Oscar Giuseppe SOLIDARIETA´ E PROGRESSO Benedetti Marta PER CAMBIARE Giannoni Miria SOLIDARIETA´ E PROGRESSO Bertoloni Walter sostituisce Grillo Pietro il 27/03/2003 SOLIDARIETA´ E PROGRESSO Lazzoni Paola SOLIDARIETA´ E PROGRESSO Mazzanti Juri SOLIDARIETA´ E PROGRESSO Messora Nicla PER CAMBIARE Parma Alessandro SOLIDARIETA´ E PROGRESSO Ruffini Mario PER CAMBIARE Ruffini Paolo SOLIDARIETA´ E PROGRESSO Ruscelli Elisa Sisti Paola SOLIDARIETA´ E PROGRESSO Torri Tiziano Zucca Marco Home Info Novità Settori ... Associazioni

15. Biblioteca Universitaria Di Genova: Fondi Antichi E Speciali - Autografi R Translate this page 1. RUFFINI. 3. CART. FEDERICI N. 220\231\239. RUFFINI FRANCESCO. 3. RUFFINI GIOVANNI.1+1. ruffini paolo. 1. RUGGIERO MICHELE. 1. RUMOR SEBASTIANO. 1. RUSCONI ALBERTOPIO. 1. http://www.bibliotecauniversitaria.ge.it/bug/cms/bug/cataloghi/f_a_s/autog-r.htm

cerca a home b dove siamo ... Fondo mss.e documentari Fondo Autografi A B C D ... Q R S T U V ... Z Elenco in ordine alfabetico dei mittenti - R Mittente Numero autografi Note RAFFAELLI GIOVANNI RAGANTI G. RAGAZZONI ROCCA RAGGI ORESTE RAGGI PIETRO RAGGIO G.B. RAINERI BISCIA CAMILLO RAMAGNINI FRANCESCO RAMBELLI GIANFRANCO RAMELLI CAMILLO RAMELLI GIOVANNI RAMEY STEFANO GIULIO RAMOGNINI RAMORINO RAMPOLDI RANIERI GIUSEPPE GIOVANNI RANZANI CAMILLO RAPISARDI GIOVANNI RAPISARDI MARIO RASI LUIGI RASORI GIOVANNI RASPAIL FRANCESCO VINCENZO RATTAZZI URBANO anche IN FASC. NURRA RATTAZZO BONAPARTE MARIA RATTI CARLO GIUSEPPE RAVA LUIGI RAVAISSON FELIX RAVANO FRANCESCO RAVASIO PIETRO RAVELLI GIACINTO RAVIZZA ALESSANDRINA RAVIZZA GENNARO RAZZOLINI LUIGI RE FILIPPO REBOUL BERVIL REBUFFO PAOLO RECCHI GAETANO REDENTI FRANCESCO 1+1 ALL. REDI FRANCESCO REDI GREGORIO REDOANO MICHELANGELO REDOUTE PIETRO GIUSEPPE REGALDI GIUSEPPE REGGIO REGNIER CLAUDIO AMBROGIO REGOLI ORESTE REICHLING DIETRICH REINA FRANCESCO REINACH (DE) REJNA DOMENICO REMONDINI ANGELO RENZI (DE) ENRICO RENZI A. REPETTO TOMMASO CART. FEDERICI N. 292

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17. Paolo Ruffini --  Encyclopædia Britannica Cite this article. paolo ruffini. born Sept. 22, 1765, Valentano, Papal States MLA style " paolo ruffini." Encyclopædia Britannica. 2004. Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=66039

18. Ruffini, Paolo (1765-1822) -- From Eric Weisstein's World Of Scientific Biograph Mathematicians. Nationality. Italian. ruffini, paolo (17651822) Italian mathematician who developed a method for finding roots of equations in 1804 which was similar to the one found independently http://scienceworld.wolfram.com/biography/Ruffini.html

Branch of Science Mathematicians Nationality Italian Ruffini, Paolo (1765-1822) Italian mathematician who developed a method for finding roots of equations in 1804 which was similar to the one found independently by Horner Additional biographies: MacTutor (St. Andrews)

19. References For Ruffini References for paolo ruffini. Biography in Encyclopaedia Britannica.Books G Barbensi, paolo ruffini nel suo tempo (Modena, 1955). http://www-gap.dcs.st-and.ac.uk/~history/References/Ruffini.html

References for Paolo Ruffini Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: G Barbensi, Paolo Ruffini nel suo tempo (Modena, 1955). Articles: R G Ayoub, Paolo Ruffini's Contributions to the Quintic, Archive for History of Exact Science F Barbieri and C Fiori, Paolo Ruffini at the University of Modena (Italian), in Proceedings of the Study Meeting in Memory of Giuseppe Gemignani (Modena, 1995), 93-119. F Barbieri and C Fiori, Ruffini's last letter to Cauchy (Italian), Nuncius Ann. Storia Sci. E Bortolotti, Il carteggio matematico di Paolo Ruffini, Mem. Accad. Sci. Ist. Bologna. Cl. Sci. Fis. E Bortolotti, Le serie divergenti nel carteggio matematico di Paolo Ruffini, Mem. Accad. Sci. Ist. Bologna. Cl. Sci. Fis. E Bortolotti, La pubblicazione delle opere e del carteggio matematico di Paolo Ruffini, Boll. Un. Mat. Ital. R A Bryce, Paolo Ruffini and the quintic equation, Symposia mathematica XXVII (London-New York, 1986), 169-185. R A Bryce, Ruffini and the quintic equation, in

20. Ruffini Biography of paolo ruffini (17651822) paolo ruffini. Born 22 Sept 1765 in Valentano, Papal States (now Italy) paolo ruffini's father, Basilio ruffini, was a medical doctor in Valentano http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Ruffini.html

Paolo Ruffini Born: 22 Sept 1765 in Valentano, Papal States (now Italy) Died: 10 May 1822 in Modena, Duchy of Modena (now Italy) Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Paolo Ruffini 's father, Basilio Ruffini, was a medical doctor in Valentano. As a young child Paolo was [4]:- ... of a mystical temperament and appeared to be destined for the priesthood... The family moved to Reggio, near Modena in the Emilia-Romagna region of northern Italy, when Paolo was a teenager. He entered the University of Modena in 1783 where he studied mathematics, medicine, philosophy and literature. Among his teachers of mathematics at Modena were Luigi Fantini, who taught Ruffini geometry, and Paolo Cassiani, who taught him calculus. The Este family ruled Modena and, in 1787, Cassiani was appointed as a councillor for the Este estates. Cassiani's course at Modena on the foundations of analysis was taken over by Ruffini in 1787-88 although he was still a student at this time. On 9 June 1788 Ruffini graduated with a degree in philosophy, medicine and surgery. Soon after this he graduated with a mathematics degree. 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. Fantini, who had taught Ruffini geometry when he was an undergraduate, found his eyesight deteriorating and in 1791 he had to resign his post at Modena. Ruffini was appointed to fill the position of Professor of the Elements of Mathematics in 1791. However, Ruffini was not only a mathematician. He had trained in medicine and, also in 1791, he was granted a licence to practice medicine by the Collegiate Medical Court of Modena.

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