000726147 000__ 03368cam\a2200457Ii\4500 000726147 001__ 726147 000726147 005__ 20230306140715.0 000726147 006__ m\\\\\o\\d\\\\\\\\ 000726147 007__ cr\cn\nnnunnun 000726147 008__ 150320t20152015gw\a\\\\ob\\\\000\0\eng\d 000726147 019__ $$a914151163 000726147 020__ $$a9783658092757$$qelectronic book 000726147 020__ $$a3658092750$$qelectronic book 000726147 020__ $$z9783658092740 000726147 0247_ $$a10.1007/978-3-658-09275-7$$2doi 000726147 035__ $$aSP(OCoLC)ocn905348823 000726147 035__ $$aSP(OCoLC)905348823$$z(OCoLC)914151163 000726147 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dN$T$$dUPM$$dCOO$$dYDXCP$$dEBLCP$$dOCLCF$$dDEBSZ 000726147 049__ $$aISEA 000726147 050_4 $$aQA215 000726147 08204 $$a512.9/422$$223 000726147 1001_ $$aConfalonieri, Sara,$$eauthor. 000726147 24514 $$aThe unattainable attempt to avoid the casus irreducibilis for cubic equations$$h[electronic resource] :$$bGerolamo Cardano's De Regula Aliza /$$cSara Confalonieri. 000726147 264_1 $$aWiesbaden :$$bSpringer Spektrum,$$c[2015] 000726147 264_4 $$c©2015 000726147 300__ $$a1 online resource (xx, 443 pages) :$$billustrations 000726147 336__ $$atext$$btxt$$2rdacontent 000726147 337__ $$acomputer$$bc$$2rdamedia 000726147 338__ $$aonline resource$$bcr$$2rdacarrier 000726147 504__ $$aIncludes bibliographical references. 000726147 5050_ $$aInter-Dependencies Between the Families of Cubic Equations in the Ars Magna -- Ars Magna, Chapters XI-XXIII and the Casus Irreducibilis -- Getting Acquainted with the De Regula Aliza -- The Method of the Splittings in Aliza, Chapter I. 000726147 506__ $$aAccess limited to authorized users. 000726147 520__ $$aSara Confalonieri presents an overview of Cardano?s mathematical treatises and, in particular, discusses the writings that deal with cubic equations. The author gives an insight into the latest of Cardano?s algebraic works, the De Regula Aliza (1570), which displays the attempts to overcome the difficulties entailed by the casus irreducibilis. Notably some of Cardano's strategies in this treatise are thoroughly analyzed. Far from offering an ultimate account of De Regula Aliza, by one of the most outstanding scholars of the 16th century, the present work is a first step towards a better understanding. Contents Inter-Dependencies Between the Families of Cubic Equations in the Ars Magna Ars Magna, Chapters XI-XXIII and the Casus Irreducibilis Getting Acquainted with the De Regula Aliza The Method of the Splittings in Aliza, Chapter I Target Groups Academics, researcher and students in the fields of mathematics, the history of mathematics, and epistemology. The Author Sara Confalonieri graduated in Philosophy at the Università degli Studi di Milano, in Mathematics at the Université Paris 6, and in Epistemology at the Université Paris 7, where she also obtained the PhD degree in history of mathematics on cubic equations during the Renaissance. At present, she takes part in a project on history of the didactic of mathematics in the 18th century at the Bergische Universität in Wuppertal as a post-doctoral researcher. 000726147 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 25, 2015). 000726147 60010 $$aCardano, Girolamo,$$d1501-1576. 000726147 650_0 $$aEquations, Cubic. 000726147 77608 $$iPrint version:$$z9783658092740 000726147 852__ $$bebk 000726147 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-658-09275-7$$zOnline Access$$91397441.1 000726147 909CO $$ooai:library.usi.edu:726147$$pGLOBAL_SET 000726147 980__ $$aEBOOK 000726147 980__ $$aBIB 000726147 982__ $$aEbook 000726147 983__ $$aOnline 000726147 994__ $$a92$$bISE