Euler’s Formula

[Fatema Tuz - Zohora]

Euler's Formula is one of the most powerful results on this list, and it's due to one of the most prolific mathematicians that ever lived, Leonhard Euler. He published over 800 papers throughout his life—many of them while blind.His result looks quite simple at first glance: e^(i*pi)+1=0. For those that don't know, both e and pi are mathematical constants which come up in all sorts of unexpected places, and i stands for the imaginary unit, a number which is equal to the square root of -1. The remarkable thing about Euler's Formula is how it manages to combine five of the most important numbers in all of math (e, i, pi, 0, and 1) into such an elegant equation. It has been called by physicist Richard Feynman "the most remarkable formula in mathematics", and its importance lies in its ability to unify multiple aspects of math.