The facts are spot on. The conclusions are a bit off though.
Ancient Indian civilization was pretty advanced in theoretical mathematics and was able to calculate the expansion of sines and cosines before Taylor’s theorems. It also had an understanding of sines cosines etc.
The main area where it fell behind was the engineering aspect of theorems. Other than few civil engineering marvels, Indians never discovered things like antikythera mechanism or aqueducts like ancient romans. This could partially be blamed on education being limited to few people as a direct side effect of caste system. The few who worked as smiths were not versed in theorems. Those who worked on theorems were never versed in engineering. They also did not cross pollinate that well. All owing to failure of education system of country. A curse it still suffers from tbh.
As for Sanskrit it was never the language of masses. Pali or Prakrit would have been the language of masses during time of Al biruni. Sanskrit is an elegant language but was again limited in access to few by the caste system.
As for Sanskrit it was never the language of masses. Pali or Prakrit would have been the language of masses during time of Al biruni. Sanskrit is an elegant language but was again limited in access to few by the caste system.