Al-Karaji akaenderera mberi nekuvandudza mashandiro ealgebra mubhuku rake rinonzi al-Fakhri, kwaakawedzera nzira yekubatanidza masimba e integer uye midzi ye integer yezvinhu zvisingazivikanwe. Chimwe chinhu chiri pedyo nekuratidzwa ne induction yemasvomhu chinoonekwa mubhuku rakanyorwa naAl-Karaji munenge muna 1000 AD, uyo akachishandisa kuratidza binomial theorem, Pascal's triangle, uye huwandu hwe integral cubes. Munyori wenhoroondo yemasvomhu, F. Woepcke, akarumbidza Al-Karaji nekuve "wekutanga akatanga dzidziso yealgebraic calculus".
1000 AD