Changes

Some famous examples of transcendental numbers include '''''π''''' ([[pi]]) and '''''[[e]]'''''.

Some famous examples of transcendental numbers include '''''π''''' ([[pi]]) and '''''[[e]]'''''.

In contrast, [Algebraic Numbers], are real numbers which are roots of some finite degree polynomial with integer coefficients.  Examples of Algebraic Numbers are <math>2</math>, <math>1/3</math>, and <math>\sqrt{2}</math>.

In contrast, [[Algebraic Numbers]], are real numbers which are roots of some finite degree polynomial with integer coefficients.  Examples of Algebraic Numbers are <math>2</math>, <math>1/3</math>, and <math>\sqrt{2}</math>.

The set of Transcendental Numbers is uncountably [[infinite]].  This follows from the facts that the set of Real Numbers is uncountably infinite and the set of Algebraic Numbers is countably [[infinite]].

The set of Transcendental Numbers is uncountably [[infinite]].  This follows from the facts that the set of Real Numbers is uncountably infinite and the set of Algebraic Numbers is countably [[infinite]].

[[Category:Mathematics]]

[[Category:Mathematics]]