Difference between revisions of "Trancendental number"
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Latest revision as of 04:01, 11 June 2007
A transcendental number is a real or complex number which is not algebraic -- not a solution of a non-zero polynomial equation with integer coefficients.
The most prominent examples of transcendental numbers are pi and e.
Proving that a given number is transcendental can be extremely difficult. However, transcendental numbers are not rare: almost all real and complex numbers are transcendental, since the algebraic numbers are countable, but the sets of real and complex numbers are uncountable.