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104.28 Extending Cardano‘s solution of the cubic

Published online by Cambridge University Press:  08 October 2020

Hiroshi Ohyama
Hiroshi Ohyama*
Affiliation:
Graduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-cho, Nishi-ku, Niigata, Japan e-mail: piron_0213@yahoo.co.jp
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Information
The Mathematical Gazette , Volume 104 , Issue 561 , November 2020 , pp. 511 - 517
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Copyright
© Mathematical Association 2020

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References

King, B. R., Beyond the quartic equation, Birkhaüser, Boston (1996).Google Scholar
Descartes, R., The geometry of René Descartes, with a facsimile of the 1st edition, Dover, New York (1954).Google Scholar
Euler, L., Elements of algebra, reprint of the 5th edition, Springer-Verlag, New York (1984).CrossRefGoogle Scholar
Lagrange, J. L., Réflexions sur la résolution algébrique des équations. In J. A. Serret, eds. Œuvres de Lagrange, III, Gauthier-Villars (1869) pp. 205–421.Google Scholar
Christianson, B., Solving quartics using palindromes, Math. Gaz. 75 (October 1991) pp. 327–328.10.2307/3619497CrossRefGoogle Scholar
Yacoub, M. D. and Fraidenraich, G., A solution to the quartic equation, Math. Gaz. 96 (July 2012) pp. 271–275.CrossRefGoogle Scholar
Williams, K. S., A generalisation of Cardan's solution of the cubic, Math. Gaz. 46 (October 1962) pp. 221–223.10.2307/3614024CrossRefGoogle Scholar
Sawin, A. M., The algebraic solution of equation, Ann. of Math. 6 (1892) pp. 169–177.CrossRefGoogle Scholar
Borger, R. L., On DeMoivre's quintic, Amer. Math. Monthly 15 (1908) pp. 171–174.CrossRefGoogle Scholar