Al-Khwarizmi and his colleagues the Banu Musa were scholars at the House of Wisdom in Baghdad. Their tasks there involved the translation of Greek scientific manuscripts and they also studied, and wrote on, algebra, geometry and astronomy. Certainly al-Khwarizmi worked under the patronage of Al-Mamun and he dedicated two of his texts to the Caliph. These were his treatise on algebra and his treatise on astronomy. The algebra treatise Hisab al-jabr w'al-muqabala was the most famous and important of all of al-Khwarizmi's works. It is the title of this text that gives us the word "algebra" and, in a sense that we shall investigate more fully below, it is the first book to be written on algebra. Al-Xorazmiy va uning hamkasbi Banu Muso Bag'dodda Baytul
xikmadaolimlar bo’lganlar. Ularmavjud yunon ilmiy qo'lyozmalarini tarjima
qilidilar,ularni o'rgandilar va algebra, geometriya, astronomiya oid asarlar yozdilar.
Albatta, al-Xorazmiy Al-Ma'mun rahnamoligida ishlagan va xalifaga bag'ishlab ikki
asar yozgan. Bu uning algebra haqidagi va astronomiya haqidagi risolalalari edi. alXorazmiy asarlari ichida eng mashhur va muxim ahamiyatga ega bolgani “Aljabr
val-muqobala hisobi haqida qisqacha kitob”edi. Shu asar “algebra” tushunchasini
yoritilgan eng birinchi kitob edi.
Didaktik qarashlari: Xorazmiy bilish nazariyasiga muxim hissa qo’shdi. U birinchilardan
bo’lib, induktsiya, deduktsiya, sinov-kuzatish va sinov metodlariga asos soldi.
U birinchi marta insonlar o’rtasidagi munosabatlarni matematik
shakllarda ifodaladi.
Hindlarning o’nlik raqamlari Xorazmiy tufayli «Arab raqamlari» nomi
bilan butun dunyoga yoyildi.
lil etib, «Xorazmiy ziji»
nomi bilan mashxur astronomik jadvallar tuzdi.
