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Ars Magna (Gerolamo Cardano)
The ''Ars Magna'' (Latin: "The Great Art") is an important book on algebra written by Girolamo Cardano. It was first published in 1545 under the title ''Artis Magnæ, Sive de Regulis Algebraicis Liber Unus'' (''Book number one about The Great Art, or The Rules of Algebra''). There was a second edition in Cardano's lifetime, published in 1570. It is considered〔See, for instance, the foreword that Oystein Ore wrote for the English translation of the book, mentioned at the bibliography.〕 one of the three greatest scientific treatises of the early Renaissance, together with Copernicus' ''De revolutionibus orbium coelestium'' and Vesalius' ''De humani corporis fabrica''. The first editions of these three books were published within a two year span (1543–1545).
==History==
In 1545 Niccolò Fontana Tartaglia became famous for having solved cubics of the form ''x''3 + ''ax'' = ''b'' (with ''a'',''b'' > 0). However, he chose to keep his method secret. In 1539, Cardano, then a lecturer in mathematics at the Piatti Foundation in Milan, published his first mathematical book, ''Pratica Arithmeticæ et mensurandi singularis'' (''The Practice of Arithmetic and Simple Mensuration''). That same year, he asked Tartaglia to explain to him his method for solving cubic equations. After some reluctance, Tartaglia did so, but he asked Cardano not to share the information until he published it. Cardano submerged himself in mathematics during the next several years working on how to extend Tartaglia's formula to other types of cubics. Furthermore, his student Lodovico Ferrari found a way of solving quartic equations, but Ferrari's method depended upon Tartaglia's, since it involved the use of an auxiliary cubic equation. Then Cardano become aware of the fact that Scipione del Ferro had discovered Tartaglia's formula before Tartaglia himself, a discovery that prompted him to publish these results.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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