Ibn al-Banna' al-Marrakushi

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Ibn al‐Bannāʾ al‐Marrākushī
Born 29 or 30 December 1256
Marrakech, Morocco
Died 31 July 1321
Residence Islamic civilization
Academic background
Influences Al-Zarqali, Ibn Isḥāq al‐Tūnisī
Academic work
Era Islamic Golden Age
Main interests Mathematics, Astronomy

Ibn al‐Bannāʾ al‐Marrākushī al-Azdi, also known as Abu'l-Abbas Ahmad ibn Muhammad ibn Uthman al-Azdi (Arabic: ابن البنّاء‎‎) (29 December 1256 – c. 1321), was a Moroccan mathematician, astronomer, Islamic scholar, Sufi, and a one-time astrologer.

Biography[edit]

Ibn al-Banna' (lit. the son of the architect) was born in Marrakesh in 1256; he is named al‐Marrākushī after that city.[1] Having learned basic mathematical and geometrical skills, he translated Euclid's Elements into Arabic.[1][2][3][4][5]

Works[edit]

Ibn al-Banna' wrote between 51 and 74 treatises, encompassing such varied topics as Algebra, Astronomy, Linguistics, Rhetoric, and Logic. One of his works, called Talkhīṣ ʿamal al-ḥisāb (Arabic, تلخيص عمل الحساب ) (Summary of arithmetical operations), includes topics such as fractions, sums of squares and cubes etc. Another, called Tanbīh al-Albāb,[6] covers topics related to:

  • calculations regarding the drop in irrigation canal levels,
  • arithmetical explanation of the Muslim laws of inheritance
  • determination of the hour of the Asr prayer,
  • explanation of frauds linked to instruments of measurement,
  • enumeration of delayed prayers which have to be said in a precise order, and
  • calculation of legal tax in the case of a delayed payment

He also wrote Rafʿ al-Ḥijāb (Lifting the Veil) which covered topics such as computing square roots of a number and the theory of continued fractions.[1] This was the first mathematical work since Brahmagupta to use an algebraic notation, further developed by Abū al-Hasan ibn Alī al-Qalasādī two centuries later.[7]

Legacy[edit]

The crater Al-Marrakushi on the Moon is named after him.

See also[edit]

References[edit]

  1. ^ a b c G. Sarton: Introduction to the History of Science; The Carnegie Institution; Washington; 1927; vol 2; p. 998.
  2. ^ O'Connor, John J.; Robertson, Edmund F., "al-Marrakushi ibn Al-Banna", MacTutor History of Mathematics archive, University of St Andrews .
  3. ^ Jabbar, Ahmed; Ablagh, Mohammed (2001). Life and Works of Ibn al-Banaa al-Murrakushi. Rabat: Faculty of Letters. 
  4. ^ Samsó, Julio (2007). "Ibn al‐Bannāʾ: Abū al‐ʿAbbās Aḥmad ibn Muḥammad ibn ʿUthmān al‐Azdī al‐Marrākushī". In Hockey, Thomas; et al. The Biographical Encyclopedia of Astronomers. New York: Springer. pp. 551–2. ISBN 978-0-387-31022-0.  (PDF version)
  5. ^ Vernet, J. (2008) [1970–1980]. "Ibn Al-Bannā Al Marrākushī". Complete Dictionary of Scientific Biography. Encyclopedia.com. 
  6. ^ A Djebbar: Mathematics in medieval Maghreb; AMUCHMA-Newsletter 15; Universidade Pedagógico (UP), Maputo (Mozambique), 15.9.1995.
  7. ^ O'Connor, John J.; Robertson, Edmund F., "al-Marrakushi ibn Al-Banna", MacTutor History of Mathematics archive, University of St Andrews .

External links[edit]