Discover diving objects into an infinite amount of cross-sections.

Discovered the method of exhaustion.

First to create the example of summations of an infinite series.

Created the formula for the sum of integral powers.

Proved the Geometric version of the Fundamental Theorem of Calculus.

Discovered calculus.

Thought to be the true founder of calculus. He is known for introducing the notations "dy/dx".

Created Rolle's Theorem

Discovered L'Hospital's Rule.

Developed calculus of finite differences.

Created f'(x) notation and y' notation for the prime of a function.

Contributed to modern abstract algebra.