Bhaskara II

A twelfth-century Indian mathematician who shows how beautiful a procedure can be, not only its answer. Bhaskara II wrote the arithmetic Lilavati, the algebraic Bijaganita, and major astronomical works, and led the Ujjain astronomical tradition. The famous story that Lilavati was his daughter appears much later and lacks contemporary evidence. His striking mathematics includes the cyclic chakravala method for quadratic indeterminate equations and passages on planetary motion that approach ideas of instantaneous velocity and extrema. These are important precursors, not a completed modern theory of limits and derivatives. He also described a positive number divided by zero as an infinite quantity; modern mathematics leaves division by zero undefined. Separating historical insight from a rule now known to fail makes his work clearer.

This is a thought experiment about influence, not a verified historical fact.

We cannot claim that without chakravala a European solution must have been delayed by six centuries. The stronger lesson is that different mathematical cultures built very different algorithms for the same equations. Bhaskara’s astronomy also shows that reasoning close to rates of change grew outside the standard European genealogy of calculus.