Reference request on quartic equation

Question

I have the following polynomial in $s$ $$\omega_4 s^4+\omega_3 s^3+\omega_2 s^2+\omega_1 s+\omega_0=0$$ where $\omega_i\in \mathbb R$ for $i=0,\dots,4$. This is a quartic equation and, as we can se on Wikipedia, there is a formula due to the italian mathematician Lodovico Ferrari.

Wikipedia article is very clear but I need also other types of references, like textbooks, papers etc. I read the references suggested by the above webpage but they are not as clear as Wikipedia.

See here http://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20130202.11.pdf — Dr. Sonnhard Graubner, Jul 17 '18 at 17:53
For one method (there are several methods), see the references I give in Section 3: Quadratic Factors of $;x^4 + 10x^2 - 96x - 71$ in this answer of mine. — Dave L. Renfro, Jul 17 '18 at 18:58

score 4 · Answer 1 · answered Jul 17 '18 at 17:53

4

I suggest the third chapter (“Quartic equations”) of Jean-Pierre Tignol's Galois' Theory of Algebraic Equations.

answered Jul 17 '18 at 17:53

José Carlos Santos

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Reference request on quartic equation

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