The Unattainable Attempt to Avoid the Casus Irreducibilis for Cubic Equations - Gerolamo Cardano's De Regula Aliza - Grand Format

The Unattainable Attempt to Avoid the Casus Irreducibilis for Cubic Equations Sara Confalonieri presents an overview of Cardano s mathematical treatises and, in particular, discusses the writings that deal with cubic equations. The author gives an insight into the latest of Cardano's algebraic works, the De Regula Aliza (1570), which displays the attempts to overcome the difficulties entailed by the casus irreducibilis.
Notably some of Cardano s strategies in this treatise are thoroughly analyzed. Far from offering an ultimate account of De Regula Aliza, by one of the most outstanding scholars of the l6th century, the present work is a first step towards a better understanding. Contents. - Inter-Dependencies Between the Families of Cubic Equations in the Ars Magna - Ars Magna, Chapters XI-XXIII and the Casus Irreducibilis - Getting Acquainted with the De Regula Aliza - The Method of the Splittings in Aliza, Chapter I.
Target Groups. Academics, researchers and students in the fields of mathematics, the history of mathematics, and epistemology.