Transcendental numbers are complex numbers that cannot be written as the zeros of a non-trivial, non-zero polynomial with rational coefficients and integer exponents. That is, a transcendental number is a number that is not algebraic. The set of all transcendental numbers is a subset of the set of all complex numbers. Transcendental numbers and algebraic numbers are mutually exclusive subsets of the complex numbers, themselves encompassing all complex numbers. A few of the most well known transcendental numbers are represented as constants