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| POSSEDUTO (se manca la collocazione vai al documento contenente) | |
| Accesso online: | https://gal-studies.museogalileo.it/index.php/galilaeana |
| Autore principale: | Hoyrup, Jens.
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| Titolo: | The several faces and the interlaced roots of the new algebra [Risorsa elettronica] / Jens Hoyrup. |
| Abstract: | Who compares Euler’s algebra with that of al-Khwarizmi will see more differences than kinship. Al-Khwarizmi uses natural language, while Euler calculates within the syntax of algebraic symbolism. Al-Khwarizmi has a single unknown (a word), Euler as many as he needs, represented by non-linguistic signs. Al-Khwarizmi deals with the unknown and its second power, Euler knows no limits. Al-Khwārizmī’s coefficients are numerically fixed, those of Euler may have undetermined values. When al-Khwarizmi operates on a composite expression, he needs roundabout ways; Euler has the parenthesis. The parenthesis mostly goes unmentioned when the characteristics of the new algebra are discussed. The rest is familiar. However, the unfolding of the various characteristics is largely left in the dark. The whole seems to have emerged fully grown from the minds of Viète and Descartes. The aim of the paper is to trace the emergence of the various characteristic features of the new algebra from the 14th-century beginnings of abbacus algebra. The process is far from linear - before the arrival of German coss we cannot even speak of stops and goes on the road toward some aim. After Christoph Rudolff we probably can; in this final phase, the mostly neglected roles of Michael Stifel and Valentin Mennher are taken up |
| In: |  Mathematical thought in the Renaissance and the genesis of modern mathematics. p. 221-254 |
| Discipline: | Aritmetica e Algebra--Studi. |
| Sudd. cronologiche: | Medioevo. Rinascimento. Secolo XVII. |
| 000001111290 |
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