References for al-Karaji

Version for printing
  1. R Rashed, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    http://www.encyclopedia.com/doc/1G2-2830902256.html

Books:

  1. A A al'Daffa, The Muslim contribution to mathematics (London, 1978).
  2. J N Crossley, The emergence of number (Singapore, 1980).
  3. O Neugebauer, The exact sciences in antiquity (New York, 1969).
  4. R Rashed, The development of Arabic mathematics : between arithmetic and algebra (London, 1994).
  5. R Rashed, Entre arithmétique et algèbre: Recherches sur l'histoire des mathématiques arabes (Paris, 1984).
  6. F Woepcke, Extrait du Fakhri, traité d'Algèbre par Abou Bekr Mohammed Ben Alhacan Alkarkhi (Paris, 1853).
  7. F Woepcke, Extrait du Fakhr”, traité d'algèbre par Abou Bekr Mohammed Ben Alhacan Alkarkhi, Reprint of the 1853 original (Hildesheim, 1982).

Articles:

  1. M A Abrarova, The geometrical section of al-Karaji's treatise 'Comprehensive book of arithmetic' (Russian), in Mathematics and astronomy in the works of Ibn Sina, his contemporaries and successors (Tashkent, 1981), 118-125.
  2. M A Abrarova, The algebraic section of al-Karaji's treatise, the 'Comprehensive book of arithmetic', in On the history of medieval Eastern mathematics and astronomy (Tashkent, 1983), 49-53.
  3. M A Abrarova, al-Karaji and his Universal book of arithmetic (Russian), in Mathematics and astronomy in the works of scientists of the medieval East (Tashkent, 1977), 107-113, 139.
  4. M A Abrarova, Development of al-Khwarizmi's ideas in the works of al-Karaji (Russian), in The great medieval scientist al-Khwarizmi (Tashkent, 1985), 247-251.
  5. H A Al-Tayyar, Investigation of Al-Karji's conditions for a perfect square, in Frege conference Schwerin, 1984 (Berlin, 1984), 42-43.
  6. A R Amir-Moéz, Comparison of the methods of Ibn Ezra and Karkhi, Scripta Math. 23 (1957), 173-178.
  7. L S Mokhamed, On negative numbers in al-Karaji's works (Russian), in History and methodology of the natural sciences No. XXV (Moscow, 1980), 115-120.
  8. L S Mohammed, The Sufficient book of al-Karaji (Russian), in History and methodology of the natural sciences No. XX (Moscow, 1978), 111-121.
  9. K H Parshall, The art of algebra from al-Khwarizmi to Viète : a study in the natural selection of ideas, Hist. of Sci. 26 (72, 2) (1988), 129-164.
  10. R Rashed, L'induction mathématique-al-Karaji et As-Samaw'al, Arch. Hist. Exact Sci. 1 (1972), 1-21.
  11. B A Rozenfel'd, A system of linear equations in Diophantus and al-Karaji (Russian), Istor.-Mat. Issled. No. 27 (1983), 142-146.
  12. J Sesiano, Le traitement des équations indéterminées dans le Badi fi al-Hisab d'Abu Bakr Al-Karaji, Arch. History Exact Sci. 17 (4) (1977), 297-379.
  13. S Shalhub, The calculations and algebra of abu Kamil Shuja- ibn Aslam and his effects on the work of al-Karaji and on the work of Leonardo Fibonacci (Arabic), in Deuxième Colloque Maghrebin sur l'Histoire des Mathématiques Arabes (Tunis, 1990), A23-A39.

JOC/EFR July 1999

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