Muhammad ibn Musa Al-Khwarizmi is one of the greatest scientific minds of the medieval period and a most important Muslim mathematician who was justly called the ‘father of algebra’. Besides his founding the science of jabr, he made major contributions in astronomy and mathematical geography. In this article, focus is laid on his mathematical work in the field of algebra and his contribution in setting the foundation of the Islamic tradition of mathematical geography and cartography.
Introduction
Islam gave birth to a new civilization that spread from China in the east, India in the south east, Russia in the north, and Anatolia in the west of Asia, to East and North Africa up to the Mediterranean regions of Southern Europe. This civilisation was marked by a deep interest in science. In the heart of the Islamic scientific tradition lays the queen of sciences, mathematics, where the scholars of bilad al-Islam (lands of Islam) excelled in all its branches practiced in pre-modern times.
One of the greatest minds of the early mathematical production in Arabic was Abu Abdullah Muhammad ibn Musa al-Khwarizmi (b. before 800, d. after 847 in Baghdad) who was a mathematician and astronomer as well as a geographer and a historian. It is said that he is the author in Arabic of one of the oldest astronomical tables, of one the oldest works on arithmetic and the oldest work on algebra; some of his scientific contributions were translated into Latin and were used until the 16th century as the principal mathematical textbooks in European universities. Originally he belonged to Khwârazm (modern Khiwa) situated in Turkistan but he carried on his scientific career in Baghdad and all his works are in Arabic. He was summoned to Baghdad by Abbasid Caliph Al-Ma’mun (213-833), who was a patron of knowledge and learning. Al-Ma’mun established the famous Bayt al-Hikma (House of Wisdom) which worked on the model of a library and a research academy. It had a large and rich library (Khizânat Kutub al-Hikma) and distinguished scholars of various faiths were assembled to produce scientific masterpieces as well as to translate faithfully nearly all the great and important ancient works of Greek, Sanskrit, Pahlavi and of other languages into Arabic. Muhammad al-Khwarizmi, according to Ibn al-Nadîm [1] and Ibn al-Qiftî [2] (and as it is quoted by the late Aydin Sayili) [3], was attached to (or devoted himself entirely to) Khizânat al-Hikma. It is also said that he was appointed court astronomer of Caliph Al-Ma’mun who also commissioned him to prepare abstracts from one of the Indian books entitled Surya Siddhanta which was called al-Sindhind [4] in Arabic [5]. Al-Khwarizmi’s name is linked to the translation into Arabic of certain Greek works [6] and he also produced his own scholarly works not only on astronomy and mathematics but also in geography and history. It was for Caliph al-Ma’mun that Al-Khwarizmi composed his astronomical treatise and dedicated his book on Algebra.
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