High Quality Content by WIKIPEDIA articles! In mathematics, a transcendental number is a number (possibly a complex number) that is not algebraic—that is, it is not a root of a non-constant polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are ? and e. Though only a few classes of transcendental numbers are known (in part, because it can be extremely difficult to show that a given number is transcendental), transcendental numbers are not rare. Indeed, almost all real and complex numbers are transcendental, since the algebraic numbers are countable while the sets of real and complex numbers are uncountable. All real transcendental numbers are irrational, since all rational numbers are algebraic. The converse is not true: not all irrational numbers are transcendental, e.g. the square root of 2 is irrational but is an algebraic number (therefore, not transcendental). Данное издание представляет собой компиляцию сведений, находящихся в...

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