Tracing the early history of algebra: testimonies on Diophantus in the Greek-speaking world (4th--7th century CE)

DOI10.1016/j.hm.2019.02.002zbMath1422.01004OpenAlexW2925677333WikidataQ128143436 ScholiaQ128143436MaRDI QIDQ2001445

Athanasia Megremi, Jean Christianidis

Publication date: 3 July 2019

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.hm.2019.02.002

zbMATH Keywords

\textit{Palatine anthology}premodern algebra

Mathematics Subject Classification ID

History of mathematics in the Golden Age of Islam (01A30) History of mathematics in Late Antiquity and medieval Europe (01A35) History of Greek and Roman mathematics (01A20)

Cites Work

• Practicing algebra in Late Antiquity: the problem-solving of Diophantus of Alexandria
• A new analytical framework for the understanding of Diophantus's \textit{Arithmetica} I--III
• Teaching of the elements of arithmetic: a lost treatise of Diophantus from Alexandria?
• Aristarchus's on the sizes and distances of the sun and the moon: Greek and Arabic texts
• Simplifying equations in Arabic algebra
• Polynomials and equations in Arabic algebra
• Arithmetic of algebraic curves from Diophantus to Poincaré
• Harmonic means and Diophantus I.39
• Travelling mathematics. The fate of Diophantos' arithmetic
• Arithmêtikê stoicheiôsis: On Diophantus and Hero of Alexandria
• The way of Diophantus: some clarifications on Diophantus' method of solution
• The ``Arithmetica of Diophantus. A historical and mathematical reading
• \textit{māl}, enunciations, and the prehistory of Arabic algebra
• Situating the Debate on “Geometrical Algebra” within the Framework of Premodern Algebra
• Irrational “Coefficients” in Renaissance Algebra
• Diophantus and Premodern Algebra: New Light on an Old Image
• Composition and Removal of Ratios in Geometric and Logistic Texts from the Hellenistic to the Byzantine Period
• Diophante et Fermat
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