[Sur la circulation des connaissances algébriques dans la Péninsule ibérique ; les sources du Tratado de Arithmetica de Pérez de Moya]
This paper focuses on the algebraic contents of Juan Pérez de Moya's Tratado de Arithmetica [1573]. The author, who was the main disseminator of algebra in 16th century Spain, carefully reviewed his previous algebraic works, and implemented substantial improvements in them. The comparative study we have carried out with some of the best known algebraic works from the Renaissance has allowed us to identify the main algebraic sources of Moya. In particular, this article shows that Moya read carefully Tartaglia's General Trattato [1560], Nunes' Libro de Algebra [1567], and Stifel's Arithmetica Integra [1544], and it throws a new light on the algebraic culture in the Iberian peninsula during the last third of the sixteenth century.
Cet article est centré sur le contenu algébrique du Tratado de Arithmetica [1573] de Juan Pérez de Moya. L'auteur, qui a été le principal vulgarisateur de l'algèbre en l'Espagne au xvie siècle, a examiné minutieusement ses précédents travaux algébriques, et a apporté des améliorations significatives en eux. L'étude comparative que nous avons menée avec quelques-unes des plus connues œuvres algébriques de la Renaissance nous a permis d'identifier les principales sources algébriques de Moya. En particulier, ce document montre que Moya a lu attentivement le General Trattato [1560] de Tartaglia, le Libro de Algebra [1567] de Pedro Nunes et l'Arithmetica Integra [1544] de Stifel, et il apporte un nouvel éclairage à la culture de l'algèbre dans la péninsule ibérique au cours du dernier tiers du seizième siècle.
DOI : 10.24033/rhm.193
Keywords: Algebra, Iberian peninsula, Renaissance, Pérez de Moya, Tartaglia, Pedro Nunes, Stifel.
Mots-clés : Algèbre, péninsule ibérique, Renaissance, Pérez de Moya, Tartaglia, Pedro Nunes, Stifel.
@article{RHM_2016__22_2_145_0,
author = {do C\'eu Peireira da Silva, Maria},
title = {On the circulation of algebraic knowledge in the {Iberian} pen{\'\i}nsula: the sources of {P\'erez} de {Moya's} {\protect\emph{Tratado} de {Arithmetica}} (1573)},
journal = {Revue d'histoire des math\'ematiques},
pages = {145--184},
year = {2016},
publisher = {Soci\'et\'e math\'ematique de France},
volume = {22},
number = {2},
doi = {10.24033/rhm.193},
mrnumber = {3613135},
zbl = {1375.01012},
language = {en},
url = {https://www.numdam.org/articles/10.24033/rhm.193/}
}
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do Céu Peireira da Silva, Maria. On the circulation of algebraic knowledge in the Iberian península: the sources of Pérez de Moya's Tratado de Arithmetica (1573). Revue d'histoire des mathématiques, Tome 22 (2016) no. 2, pp. 145-184. doi: 10.24033/rhm.193
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