Difference between revisions of "Transcendental number"
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| − | A '''transcendental number''' is a number that is not a [[root]] of any [[polynomial]] with [[integer|integral]] [[coefficient]]s. Many famous [[ | + | A '''transcendental number''' is a [[real number | real]] or [[complex number]] that is not a [[Root (polynomials) | root]] of any [[polynomial]] with [[integer|integral]] [[coefficient]]s. Many famous [[constant]]s such as [[pi | <math>\pi</math>]] and [[e | <math>e</math>]] are transcendental. |
| + | == See Also == | ||
| + | |||
| + | * The [[Rational_approximation#Liouville_Approximation_Theorem | Liouville Approximation Theorem]] provides one way of showing that certain numbers are transcendental. | ||
| + | * [[Algebraic number]] | ||
{{stub}} | {{stub}} | ||
| + | |||
| + | [[Category:Definition]] | ||
| + | [[Category:Number theory]] | ||
Latest revision as of 10:52, 9 December 2007
A transcendental number is a real or complex number that is not a root of any polynomial with integral coefficients. Many famous constants such as 
and 
are transcendental.
See Also
- The Liouville Approximation Theorem provides one way of showing that certain numbers are transcendental.
- Algebraic number
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