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Solving the Cubic with Cardano - References

William B. Branson (St. Cloud State University)


al-Khwarizmi and Robert of Chester, Robert of Chester’s Latin Translation of the Algebra of Al-Khowarizmi, translated by Louis Charles Karpinski, 1915, London: MacMillan and Company Limited.

Berggren, J.L., Episodes in the Mathematics of Medieval Islam, 1986, New York: Springer-Verlag.

Cajori, Florian.  A History of Mathematical Notations, 1993, New York: Dover Publications.  Originally published by Open Court, 1928.

Cardano, Girolamo, Artis Magnae, sive De Regulis Algebraicis, in Opera Omnia, Vol. 4 (pp. 221-302), 1662, Leiden.
Available at

Cardano, Girolamo, Ars Magna or the Rules of Algebra, translated by T. Richard Witmer, 1993, New York: Dover Publications.  Originally published by MIT Press, 1968.

Cardano, Girolamo, The Book of My Life, translated by Jean Stoner, 2002, New York: New York Review of Books.

Dunham, William.  Journey through Genius, 1991, Penguin Books: New York. Originally published by John Wiley & Sons, 1990.

Fibonacci, Leonardo, Fibonacci’s Liber Abaci: Leonardo Pisano’s Book of Calculation, translated by L. E. Sigler, 2002, New York: Springer-Verlag.

Grendler, Paul F, Schooling in Renaissance Italy, 1989, Baltimore and London: The Johns Hopkins University Press.

Høyrup, Jens, Jacopo da Firenze’s Tractatus Algorismi and Early Italian Abbacus Culture, 2007, Basel-Boston-Berlin: Birkhäuser Verlag AG.

Katz, Victor J., A History of Mathematics: An Introduction (2nd edition), 1998, Reading MA: Addison-Wesley.

Rose, Paul Lawrence, The Italian Renaissance of Mathematics, 1975, Genève: Librairie Droz.