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Paolo Ruffini

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Paolo Ruffini
Paolo Ruffini
BornSeptember 22, 1765
DiedMay 9, 1822
NationalityItalian
Scientific career
Fieldsmathematics

Paolo Ruffini (September 22, 1765 – May 10, 1822) was an Italian mathematician and philosopher.

By 1788 he had earned university degrees in philosophy, medicine/surgery, and mathematics. Among his work was an incomplete proof (Abel–Ruffini theorem[1]) that quintic (and higher-order) equations cannot be solved by radicals (1799[2]), and Ruffini's rule[3] which is a quick method for polynomial division. Ruffini also made contributions to group theory[4] in addition to probability and quadrature of the circle.

He practiced as both a professor of mathematics (University of Modena) and a doctor[5] including scientific work[6] on typhus.

Publications

1799: "La teoria generale delle equazioni in cui è provato che la soluzione algebrica di equazioni di grado maggiore di 4 è impossibile"

1802: "Riflessioni intorno alla rettificazione ed alla quadratura del circulo"

1802: "Della soluzione delle equazioni algebraiche determinata partocolari di grado sup. al 4º"

1804: "Sopra la determinazione delle radici nelle equazioni numeriche di qualunque grado"

1806: "Della immortalità dell’anima"

1807: "Algebra elementare"

1820: "Memoria sul tifo contagioso"

1821: "Riflessioni critiche sopra il saggio filosofico intorno alle probabilità del signor conte Laplace"

References

  1. ^ http://www.britannica.com/EBchecked/topic/512337/Paolo-Ruffini
  2. ^ Teoria Generale delle Equazioni, in cui si dimostra impossibile la soluzione algebraica delle equazioni generali di grado superiore al quarto.
  3. ^ O'Connor, John J.; Robertson, Edmund F., "Paolo Ruffini", MacTutor History of Mathematics Archive, University of St Andrews
  4. ^ http://www.stetson.edu/~efriedma/periodictable/html/Rf.html
  5. ^ Paolo Ruffini --- Catholic Encyclopedia article.
  6. ^ Memoria sul tifo contagioso.

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