Al-Karaji wuxuu ku kordhiyay habka loo adeegsado awoodaha integer iyo xididdada integer ee tirooyinka aan la garanayn. Wax ku dhow caddaynta induction-ka xisaabta ayaa ka muuqda buug uu qoray Al-Karaji qiyaastii 1000 AD, kaas oo u adeegsaday inuu caddeeyo theorem binomial, Pascal's triangle, iyo isku darka cubes integral. Taariikhyahanka xisaabta, F. Woepcke, wuxuu ku amaanay Al-Karaji inuu yahay "midkii ugu horreeyay ee soo bandhigay aragtida xisaabta aljebrada". Sidoo kale qarnigii 10aad, Abulfa Wafacus wuxuu u turjumay shaqooyinka Carabiga. Ibn al-Haytham wuxuu ahaa xisaabiyihii ugu horreeyay ee soo saaray isku darka awoodaha afraad, isagoo adeegsanaya hab si guud loo qeexayo awoodaha trigynomial-ka.
1000 ee miilaadiga