Al‐Mu˒taman ibn Hūd

  • Jan P. Hogendijk
Reference work entry
DOI: https://doi.org/10.1007/978-1-4020-4425-0_9323

Yūsuf Al‐Mu˒taman ibn Hūd was the king of the kingdom of Zaragoza in Northern Spain from 1081 until his death in 1085. He lived in the Aljafería palace in Zaragoza, which was built by his father Aḥmad al‐Muqtadir ibn Hūd (r. 1041–1081), and which is now the site of the Parliament of Aragon. Al‐Mu˒taman was interested in mathematics, optics, and philosophy. He wrote a very long mathematical work, the Kitāb al‐Istikmāl (Book of Perfection), of which large parts have recently been identified in four anonymous Arabic manuscripts in Copenhagen, Leiden, Cairo, and Damascus. A revised version of the whole Istikmāl was recently discovered.

In the Book of Perfection, al‐Mu˒taman divides most of pure mathematics according to a philosophical classification in five “species” (anwā˓). Species 1 deals with arithmetic and the theory of numbers. Al‐Mu˒taman summarizes the arithmetical books of Euclid's Elements, and he proves Thābit ibn Qurra's rule for amicable numbers. The remaining species 2–5...

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References

  1. Djebbar, A. Deux mathématiciens peu connus de l'Espagne du XI e siècle: al‐Mu˒taman et Ibn Sayyid. Vestigia Mathematica. Studies in Medieval and Early Modern Mathematics in Honour of H.L.L. Busard. Ed. M. Folkerts and J. P. Hogendijk. Rodopi, Amsterdam: 1993. 79–91.Google Scholar
  2. ‐‐‐. La redaction de l'Istikmal d'al‐Mu˒taman (XI e siècle) par Ibn Sartāq, un mathématicien des XIII e–XIV e siècles. Historia Mathematica 24 (1997): 185–92.Google Scholar
  3. Hogendijk, J. P. The Geometrical Parts of the Istikmāl of al‐Mu˒taman ibn Hūd, an Analytical Table of Contents. Archives Internationales d'Histoire des Sciences 41 (1991): 207–81.Google Scholar

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© Springer-Verlag Berlin Heidelberg New York 2008

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  • Jan P. Hogendijk

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