Introduction
Euler's Number, written as $ e $, is one of the most important constants in all of mathematics. Its value is approximately 2.718, however as it is irrational, its exact decimal representation is infinite. Jacob Bernoulli originally discovered an approximation for the constant in 1683 while doing work related to compounding interest. It was not until Leonhard Euler studied the number in 1731, however, that the constant was written with the symbol $ e $ that is used today. Since then, the number has played important roles in a number of fields including finance, calculus, and physics.
