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

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

Autor Sara Confalonieri
en Limba Engleză Paperback – 24 mar 2015
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.
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Specificații

ISBN-13: 9783658092740
ISBN-10: 3658092742
Pagini: 463
Ilustrații: XX, 443 p. 34 illus.
Dimensiuni: 148 x 210 x 28 mm
Greutate: 0.6 kg
Ediția:2015
Editura: Springer Fachmedien Wiesbaden
Colecția Springer Spektrum
Locul publicării:Wiesbaden, Germany

Public țintă

Research

Cuprins

​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.​

Recenzii

“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)

Notă biografică

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 didactic of mathematics in the 18th century at the Bergische Universität in Wuppertal as a post-doctoral researcher.

Textul de pe ultima copertă

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.
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, researcher and students in the fields of mathematics, the history of mathematics, and epistemology.
The Author
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 didactic of mathematics in the 18th century at the Bergische Universität in Wuppertal as a post-doctoral researcher.

Caracteristici

Publication in the field of didactics and history of mathematics Includes supplementary material: sn.pub/extras