# Transcendental Numbers

**
Transcendental numbers
**
are either
real
or
complex numbers
that are not the root of any rational polynomial equation, meaning that they are not algebraic numbers. They must be
irrational numbers
since a
rational number
, by definition, is an algebraic number.

Two common transcendental numbers are $\pi $ , the ratio of the circumference to the diameter of a circle with an approximate value of $\text{3}\text{.1416}$ and $e$ , the base of the natural logarithms with an approximate value of $2.718$ .

Euler is credit with defining transcendental numbers.

This is basically a college-level concept that would be encountered for the first time in a number theory course.