L'analyse diophantienne au Xe siècle : l'exemple d'al-Khäzin.
1979; Presses Universitaires De France; Volume: 32; Issue: 3 Linguagem: Inglês
10.3406/rhs.1979.1632
ISSN1969-6582
Autores Tópico(s)Historical Philosophy and Science
ResumoSUMMARY. — First introduced in the 10th century, the Arithmetica of Diophantus contributed much to the development of mathematics in the Middle Ages. Most notably it permitted the extension of classical Diophantine analysis, which existed already, independently of the Arab translation of Diophantus, among the Arab algebrists. Less known but more original, is the contribution of the Arithmetica to the development of new research on modern Diophantine analysis, as that term was understood by Bachet de Méziriac and Fermat. The examination of two unpublished documents in this article demonstrates this fact more clearly than before. The author shows that this research, inspired by a reading of Diophantus, was however the work of mathematicians who deliberately placed themselves outside the algebraic tradition and chose a style intentionally different from that of the Arithmetica.
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