How many proofs are their for Pythagoras theorem'?
There are over 100 of them. They can be found at //www.cut-the-knot.org/pythagoras/
Pythagoras and the brotherhood developed the theory of number. What main theories did they devise?
Pythagoras and his followers developed the Pythagorean Theorem, the Music of the Spheres, and created a list of which every number represents something.
i.e., 1 - Unity, the source of reason
2 - Duality, Female, Opinion
3 - Trinity, Male, and something else I can't remember
4 - Justice, the secret of fire
5 - Marriage, the union of the Male and Female numbers
It goes all the way up to twelve, excluding 8, 9, and 11.
Srinivasa Ramanujan, who was said by GH Hardy to have talent "in the same league as legendary mathematicians such as Gauss, Euler, Cauchy, Newton and Archimedes", passed away at the age of 32 in Chetput, Madras, India.
n*(n-1)/2
Pascal's Triangle in 1653. Which was also discovered 5 centuries earlier by Chinese mathematician Yang Hui.
Who were Pythagoras's parents names?
His father was called Menesarchus and his mother was called Parthenis.
Hope this helps!
Did Rene Descartes had a mathematical accomplishments?
Yes, he did. He devised the Cartesian coordinate system which led to analytical geometry.