Abu'l-Hasan Al-Uqlidisi
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Abu'l-Hasan Al-Uqlidisi

Abu'l Hasan Ahmad ibn Ibrahim Al-Uqlidisi (Arabic: ? ? ‎) was a Muslim Arab[1] mathematician, who was active in Damascus[2] and Baghdad.[3]. He wrote the earliest surviving book on the positional use of the Arabic numerals, Kitab al-Fusul fi al-Hisab al-Hindi (The Arithemetics of Al-Uqlidisi) around 952.[4] It is especially notable for its treatment of decimal fractions, and that it showed how to carry out calculations without deletions.

While the Persian mathematician Jamsh?d al-K?sh? claimed to have discovered decimal fractions himself in the 15th century, J. Lennart Berggrenn notes that he was mistaken, as decimal fractions were first used five centuries before him by al-Uqlidisi as early as the 10th century.[3]

A. S. Saidan who studied al-Uqlidisi's mathematical treatise in detail wrote:

The most remarkable idea in this work is that of decimal fraction. Al-Uqlidisi uses decimal fractions as such, appreciates the importance of a decimal sign, and suggests a good one. Not al-Kashi (d. 1436/7) who treated decimal fractions in his "Miftah al-Hisab", but al-Uqlidisi, who lived five centuries earlier, is the first Muslim mathematician so far known to write about decimal fractions.[2]


  1. ^ "Abu'l Hasan Ahmad ibn Ibrahim al-Uqlidisi | Encyclopedia.com". www.encyclopedia.com.
  2. ^ a b O'Connor, John J.; Robertson, Edmund F., "Abu'l Hasan Ahmad ibn Ibrahim Al-Uqlidisi", MacTutor History of Mathematics archive, University of St Andrews.
  3. ^ a b Berggren, J. Lennart (2007). "Mathematics in Medieval Islam". The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook. Princeton University Press. p. 518. ISBN 978-0-691-11485-9.
  4. ^ The Arithemetics of Al-Uqlisidi, The story of Hindu-Arabic Arithematic, translated and annotated by A.S.Saidan, D.Reidel Publishing Company,Boston, 1978


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