The unattainable attempt to avoid the casus irreducibilis for cubic equations [electronic resource] : Gerolamo Cardano's De Regula Aliza / Sara Confalonieri.
2015
QA215
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Title
The unattainable attempt to avoid the casus irreducibilis for cubic equations [electronic resource] : Gerolamo Cardano's De Regula Aliza / Sara Confalonieri.
Author
Confalonieri, Sara, author.
ISBN
9783658092757 electronic book
3658092750 electronic book
9783658092740
3658092750 electronic book
9783658092740
Published
Wiesbaden : Springer Spektrum, [2015]
Copyright
©2015
Language
English
Description
1 online resource (xx, 443 pages) : illustrations
Item Number
10.1007/978-3-658-09275-7 doi
Call Number
QA215
Dewey Decimal Classification
512.9/422
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
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Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 25, 2015).
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Print version: 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.
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.