History of polynomial equations: Fibonacci, the Italian algebrists of the XVI century, the theory of permutations of roots.

Leo Liberti

May 1995

 
• Contents
• Fibonacci
• Italian algebrists of the XVI century
  • The disputes for the solution of the cubic
  • The Ars magna
  • The solution of the cubic
  • Complex numbers
    • Cardano's treatment
    • Bombelli's treatment
  • Effects of the Ars magna
    • François Viète
• The theory of permutations of the roots
  • The symmetric polynomials
  • The degree of the polynomial
  • The work of Lagrange
  • The work of Vandermonde and Gauss
  • The work of Galois
• About this document ...