Michael Stifel, reader of Gerolamo Cardano's \textit{Practica arithmetice} (Q2831540)

Freely from the abstract: In 1544, Michael Stifel published his \textit{Arithmetica integra} in three books. The third one is a treatise of algebra concentrating on his ``rule of algebra''. It establishes in four steps, how to handle a problem, by bringing it into an equation and likewise for its solution. He points out repeatedly the perfection of his rule, applying it throughout the third book. (In the paper under review, the author focuses on Chapter 13 and on the appendix concluding the book.) Several examples were recasted from Cardano's \textit{Practica arithmetice}.NEWLINENEWLINEReviewer's remarks: The author aims to understand how Stifel handeled those problems, the impression of Stifel regarding Cardano's work, and how he adapted all those examples for his rule of algebra. This study on Stifel's Chapter 13 treatise of his third book is an excellent one, spread out over 28 pages. It gives a profound insight into the old, almost 500 years ago, juggling with algebraic notions. Very instructive. The author wrote in [Rev. Hist. Math. 20, No. 2, 171--209 (2014; Zbl 1315.01012)] on ``Irrationalité des nombres, irrationalité des lignes selon Michael Stifel et Simon Stevin'', regarding the second book of M. Stifel.