Al-Khwarizmi
en.wikipedia.org
en.wikipedia.org
This is not correct.
المقابلة indicates two entities facing one another. Root is Q.B.L. from which we also get Qibla (that is direction of prayer). So it indicates the balancing of terms on each side of the equation.
الجبر is actually one of the names of God and it means forceful/irresistible compeller. In context of حساب (computation, reckoning) حساب الجبر then means a computation that is compelled (by mathematical logic).