**Bhāskarāchārya**

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Bhāskarāchārya / Bhāskara II (1114–1185) was an Indian mathematician and astronomer.

Among his many achievements are the following:

1. He was the first person to explain that **when you divide by zero, the result is infinity.**

2. He was also the first person to note that **a positive number has two square roots** - a positive and a negative one.

3. He described the principles of **differential calculus 500 years before Leibniz and Newton.** (He definitively came up with Rolle’s theorem half a millennium before Rolle himself.)

4. He calculated the length of the rotation of the earth around the sun to **365.2588 days - he was just off by 3 minutes.**

Intriguingly, his treatise on arithmetic and geometry, **Līlāvatī,** is named after his daughter. He addresses her as an eager student:

Oh Līlāvatī, intelligent girl, if you understand addition and subtraction, tell me the sum of the amounts 2, 5, 32, 193, 18, 10, and 100, as well as [the remainder of] those when subtracted from 10000.” and “Fawn-eyed child Līlāvatī, tell me, how much is the number [resulting from] 135 multiplied by 12, if you understand multiplication by separate parts and by separate digits. And tell [me], beautiful one, how much is that product divided by the same multiplier?

These invocations have led some to surmise that Līlāvatī, too, was a mathematician.

Image from here: http://mathdept.ucr.edu/pdf/iwm1.pdf

Story of her introduction to math here: http://4go10tales.blogspot.co.uk/2012/06/lilavati.html

Wikipedia on Bhaskaracharya