Simplifying equations in Arabic algebra

DOI10.1016/j.hm.2006.02.006zbMath1115.01005OpenAlexW2123229947WikidataQ29028000 ScholiaQ29028000MaRDI QIDQ885084

Haitham M. Alkhateeb, Jeffrey A. Oaks

Publication date: 8 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.hm.2006.02.006

zbMATH Keywords

Abū KāmilAl-jabrAl-khawārizmīAl-muqābalaArabic/Islamic algebraIbn Badr

Mathematics Subject Classification ID

History of mathematics in the Golden Age of Islam (01A30)

Related Items (6)

Zero and nothing in medieval Arabic arithmetic ⋮ Practicing algebra in Late Antiquity: the problem-solving of Diophantus of Alexandria ⋮ Situating the Debate on “Geometrical Algebra” within the Framework of Premodern Algebra ⋮ Irrational “Coefficients” in Renaissance Algebra ⋮ Tracing the early history of algebra: testimonies on Diophantus in the Greek-speaking world (4th--7th century CE) ⋮ Polynomials and equations in Arabic algebra

Cites Work

• Découverte d'un écrit mathématique d'al-Ḥaṣṣār (XIIe S.): Le livre I du Kāmil. (Discovery of a mathematical manuscript of al-Ḥaṣṣār (XIIth century): Book I of Kāmil)
• Le traitement des équations indéterminées dans le Badî fī 'l-Ḥisāb d'Abū Bakr Al-Karajī
• \textit{māl}, enunciations, and the prehistory of Arabic algebra
• On a Collection of Geometrical Riddles and their Role in the Shaping of Four to Six “Algebras”
• The Meaning of al-jabr wa'l-muq?balah
• Lengths, widths, surfaces. A portrait of Old Babylonian algebra and its kin
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