Euler's Number Explained in 30 seconds

Euler’s Number e

Overview

The mathematical constant e is the base of the natural logarithm, a fundamental logarithmic function. It is also known as Euler’s number, named after the mathematician Leonhard Euler, who extensively studied this constant.

e ≈ 2.71828

Applications

The constant e is used in many areas of mathematics and science, including calculus, complex numbers, and population growth models.

Properties

It represents the rate of continuous growth and is the unique base for which the derivative of the exponential function equals the function itself.