page_title: Paolo Ruffini
hierarchical_section_title: Paolo Ruffini
caption_attribution_description: Paolo Ruffini
context_page_description: Paolo Ruffini 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 that quintic equations cannot be solved by radicals, and Ruffini's rule which is a quick method for polynomial division. Ruffini also made contributions to group theory in addition to probability and quadrature of the circle.
  He practiced as both a professor of mathematics and a medical doctor including scientific work on typhus.
context_section_description: 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) that quintic (and higher-order) equations cannot be solved by radicals (1799), and Ruffini's rule which is a quick method for polynomial division. Ruffini also made contributions to group theory in addition to probability and quadrature of the circle.
  He practiced as both a professor of mathematics (University of Modena) and a medical doctor including scientific work on typhus.
caption: Paolo Ruffini
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