Lodovico Ferrari was an Italian scholar who started as Cardan's secretary and went on to devise the solution of the quartic equation. He was born in Bologna, then in the Papal States, on 2 February 1522 and died there on 5 October 1565. His method reduces a quartic to a cubic and then to quadratics, which made the general equation of the fourth degree solvable by radicals, and it later shaped the study of symmetric groups and Galois theory.
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Source Wikipedia: Alternating group
Source Quartic Equation (Wikipedia)
Source Quartic Function (Wikipedia)
Source Symmetric group (Wikipedia)
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Source Lodovico Ferrari, Biography (MacTutor History of Mathematics)
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Source Lodovico Ferrari, Biography (MacTutor History of Mathematics)SummaryQuote, Summary
Ferrari was an Italian scholar who started as Cardan's secretary and went on to devise the solution of the quartic equation.
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1. Lodovico Ferrari, Biography (MacTutor History of Mathematics)
SummaryQuote, Summary
Ferrari was an Italian scholar who started as Cardan's secretary and went on to devise the solution of the quartic equation.
Symmetric group (Wikipedia)
Attributed Works: Symmetric Group, LeadQuote, Attributed Works: Symmetric Group, Lead
In Galois theory, this map corresponds to the resolving cubic to a quartic polynomial, which allows the quartic to be solved by radicals, as established by Lodovico Ferrari
Wikipedia: Alternating group
Attributed Works: Alternating Group, LeadQuote, Attributed Works: Alternating Group, Lead
In Galois theory, this map, or rather the corresponding map S4 → S3, corresponds to associating the Lagrange resolvent cubic to a quartic, which allows the quartic polynomial to be solved by radicals, as established by Lodovico Ferrari.
Quartic Equation (Wikipedia)
Attributed Works: Quartic Equation, LeadQuote, Attributed Works: Quartic Equation, Lead
Otherwise, the depressed quartic can be solved by means of a method discovered by Lodovico Ferrari
Quartic Function (Wikipedia)
Attributed Works: Quartic Function, LeadQuote, Attributed Works: Quartic Function, Lead
This depressed quartic can be solved by means of a method discovered by Lodovico Ferrari
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