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Abstracts
Keywords:
- Ancient Greek Mathematics,
- Diophantus,
- Arithmetica,
- Arabic Sources,
- History of Algebra
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Appendices
Biographical note
Nathan Sidoli is professor of the history and philosophy of science at the School for International Liberal Studies, Waseda University, Tokyo. His research focuses on the Greek mathematical sciences and their further development in Arabic sources. He is author of Thābit ibn Qurra’s Restoration of Euclid’s Data (2018, with Yoichi Isahaya), and The Spherics of Theodosios (2023, with R. S. D. Thomas).
Bibliography
- Acerbi, F. 2011. Diofanto. De polygonal numeris. Pisa.Google Scholar Search this bibliographic reference on Google Scholar
- Allard, A. 1980. Diophante d’Alexandrie. Les Arithmetiques. Histoire du text grec, édition critique, traductions et scolies. Tourpes.Google Scholar Search this bibliographic reference on Google Scholar
- Corry, L. 2021. Distributivity-like Results in the Medieval Traditions of Euclid’s Elements: Between Arithmetic and Geometry. Cham.10.1007/978-3-030-79679-2 Google Scholar Search this bibliographic reference on Google Scholar
- Høyrup, J. 2002. Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin. New York.10.1007/978-1-4757-3685-4 Google Scholar Search this bibliographic reference on Google Scholar
- Karpinski, L. C. 1915. Robert of Chester’s Latin Translation of the Algebra of alKhowrizmi. New York.Google Scholar Search this bibliographic reference on Google Scholar
- Katz, V. J. and K. H. Parshall. 2014. Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century. Princeton.10.23943/princeton/9780691149059.001.0001 Google Scholar Search this bibliographic reference on Google Scholar
- Nesselmann, G. H. F. 1842. Versuch einer kritischen Geschiche der Algebra. Thiel 1: Die Algebra der Griechen. Berlin.10.1515/9783111585789 Google Scholar Search this bibliographic reference on Google Scholar
- Plofker, K. 2009. Mathematics in India. Princeton.10.1515/9781400834075 Google Scholar Search this bibliographic reference on Google Scholar
- Rashed, R. 1984. Diophante. Les arithmétiques. Paris.Google Scholar Search this bibliographic reference on Google Scholar
- Rashed, R. 1994. The Development of Arabic Mathematics: Between Arithmetic and Algebra. Dordrecht. Trans. by A. F. W. Armstrong of Entre arithmétique et algèbre. Recherches sur l’histoire des mathématiques arabes. Paris, 1984.Google Scholar Search this bibliographic reference on Google Scholar
- Rashed, R. 2009. AlKhwārizmı̄: The Beginnings of Algebra. London.Google Scholar Search this bibliographic reference on Google Scholar
- Rashed, R. and C. Houzel. 2013. Les «Arithmétiques» de Diophante. Berlin.10.1515/9783110336481 Google Scholar Search this bibliographic reference on Google Scholar
- Sesiano, J. 1982. Books IV to VIII of Diophantus’ Arithmetica in the Arabic Translation Attributed to Qustā ibn Lu̅qāı. New York.10.1007/978-1-4613-8174-7 Google Scholar Search this bibliographic reference on Google Scholar
- Sidoli, N. 2022. “Translations in the Mathematical Sciences”. Pp. 39–56 in Brentjes, S.; B. Bowler; and R. Brentjes edd. Routledge Handbook on the Sciences in the Islamicate World: Practices from the 2nd/8th to the 13th/19th Centuries. London.10.4324/9781315170718-5 Google Scholar Search this bibliographic reference on Google Scholar
- Tannery, P. 1893–1895. Diophanti Alexandrini opera omnia cum Graecis commentariis. 2 vols. Leipzig.Google Scholar Search this bibliographic reference on Google Scholar
- Ver Eecke, P. 1926. Diophante d’Alexandrie. Les six livres Arithmétiques et le Livre des nombres polygones. Bruges. Repr. Paris, 1959.Google Scholar Search this bibliographic reference on Google Scholar
- Winter, J. G. 1936. Papyri in the University of Michigan Collection: Miscellaneous Papyri. Michigan Papyri 3. Ann Arbor.10.3998/mpub.12946787 Google Scholar Search this bibliographic reference on Google Scholar