Year: 2026
Type: article
Abstract: We discuss the elegant method of Ludovico Ferrari who found a cubic resolvent of the quartic equation in the 16th century. In certain cases, his approach renders the real solutions only in terms of real quantities, which, however, involve up to four nested radicals. A method of Euler brings a reduction to only three nested radicals but makes use of complex quantities. A way to the said cubic resolvent that can be found in many modern textbooks turns out to be less elegant than Ferrari’s method.
Source: Mathematische Semesterberichte
Author: Kurt Girstmair
Institution: Universität Innsbruck
Language: English
Subfield: Theoretical Computer Science
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,390
OpenAlex ID: W7129536417