In the area of mathematics, a transcendental number is that number which is either real or complex, but is not algebraic. In other words, a transcendental number is that which is not the answer to a non zero polynomial equation having integer coefficients.

The most widely known instance of a transcendental number is pi. Only limited sets of transcendental numbers are identified by man, as establishing that a particular number is transcendental in nature is very complicated.

The possible credit for identifying and describing transcendental numbers in the modern context goes to Euler. The word 'transcendentals' derives from Leibniz in a paper he wrote in 1682; proving sin (x) was not an algebraic function of x (2). The presence of transcendental numbers was first identified by Joseph Liouville in the year 1844.

The most widely known instance of a transcendental number is pi. Only limited sets of transcendental numbers are identified by man, as establishing that a particular number is transcendental in nature is very complicated.

The possible credit for identifying and describing transcendental numbers in the modern context goes to Euler. The word 'transcendentals' derives from Leibniz in a paper he wrote in 1682; proving sin (x) was not an algebraic function of x (2). The presence of transcendental numbers was first identified by Joseph Liouville in the year 1844.