The Unattainable Attempt to Avoid the Casus Irreducibilis for Cubic Equations: Gerolamo Cardano's De Regula Aliza by Sara ConfalonieriThe Unattainable Attempt to Avoid the Casus Irreducibilis for Cubic Equations: Gerolamo Cardano's De Regula Aliza by Sara Confalonieri

The Unattainable Attempt to Avoid the Casus Irreducibilis for Cubic Equations: Gerolamo Cardano's…

bySara Confalonieri

Paperback | March 24, 2015

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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 16th century, the present work is a first step towards a better understanding.
Sara Confalonieri graduated in Philosophy at the Università degli Studi di Milano, in Mathematics at the Université Paris 6, and in Epistemology at the Université Paris 7, where she also obtained the PhD degree in history of mathematics on cubic equations during the Renaissance. At present, she takes part in a project on history of the...
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Title:The Unattainable Attempt to Avoid the Casus Irreducibilis for Cubic Equations: Gerolamo Cardano's…Format:PaperbackDimensions:443 pages, 21 × 14.8 × 0.01 inPublished:March 24, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3658092742

ISBN - 13:9783658092740

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Table of 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.

Editorial Reviews

"Sara Confalonieri presents the most completeanalysis every attempted of Cardano's Ars magna as well as of Cardano's valiantattempts to bypass the cases where the cubic formula includes square roots ofnegative numbers, the so-called casus irreducibilis. . a reference guide thatwill be useful whenever one is studying Cardano's work. . This work will standas a monument to Cardano's attempts to solve cubic equations." (Victor J. Katz,Mathematical Reviews, December, 2015)"Sara Confalonieri's The Unattainable Attempt to Avoid the Casus Irreducibilis for Cubic Equations: Gerolamo Cardano's De Regula Aliza, based on the first part of her 2013 dissertation, is a welcome addition to the literature on Gerolamo Cardano. . There is much to absorb and study in this treatise. And I look forward to reading the results of Confalonieri's future work related to the subjects presented here." (Joel Haack, MAA Reviews, June, 2015)