Ya'ish ibn Ibrahim al-Umawi

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Abū ʿAbdallāh Yaʿīsch ibn Ibrāhīm al-Umawī ( Arabic يعيش بن إبراهيم الأموي, DMG Yaʿīš b. Ibrāhīm al-Umawī ) was a mathematician who worked in Damascus in the 14th century and originally came from Spain ( al-Andalus ). He is best known for a book on arithmetic, the oldest known Arabic work on arithmetic from the western part of the Islamic world.

According to a source (Hajji Khalifa) he died in 1489/90 (in Islamic calendar 895), but one of his manuscripts of his arithmetic dates from 1373.

His book on arithmetic ( Marāsim al-intisāb fī ʿilm al-hisāb , "On arithmetic rules and procedures") deals with arithmetic and geometric series, series of polygonal and pyramidal numbers , series of various cubic numbers (whereby he reproduces older results from al-Karaji ). It deals with tests of nines and eleven and their generalization in a form attributed to Blaise Pascal (1664). His criteria for perfect squares and cube numbers, derived from the sequence of digits, were new. It also gives rules for approximating square and cube roots, slightly different from the methods used in texts of the Islamic East, and it does not deal with higher roots, which happened in the East as early as the 11th century.

Another treatise of his that has survived deals with the measurement of area and volume ( Rafʿ al-ischkāl fī masāhat al-aschkāl , "Removal of doubts about the measurement of geometrical figures"), but does not contain any new results from the Islamic mathematicians of the East .

literature

  • AS Saidan: AL-UMAWI, ABU 'ABDALLAH YA'ISH IBN IBRAHIM IBN YUSUF IBN SIMAK AL-ANDALUSI, Dictionary of Scientific Biography , Volume 13, pp. 539-540
  • Ahmad Salim Saidan (Ed.): Yaish ibn Ibrahim al-Umawi, On arithmetical rules and procedures , Aleppo 1981

Web links

personal data
SURNAME al-Umawi, Yaʿish ibn Ibrahim
BRIEF DESCRIPTION Arabic mathematician
DATE OF BIRTH 14th Century
PLACE OF BIRTH Spain
DATE OF DEATH 14th century or 15th century