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 [[constant]]s such as [[pi | <math>\pi</math>]] and [[e | <math>e</math>]] are transcendental. | |
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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 [[constant]]s such as [[pi | | ||
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* The [[Rational_approximation#Liouville_Approximation_Theorem | Liouville Approximation Theorem]] provides one way of showing that certain numbers are transcendental. | * The [[Rational_approximation#Liouville_Approximation_Theorem | Liouville Approximation Theorem]] provides one way of showing that certain numbers are transcendental. | ||
| + | * [[Algebraic number]] | ||
| + | {{stub}} | ||
| − | + | [[Category:Definition]] | |
| + | [[Category:Number theory]] | ||
Revision as of 23:24, 8 December 2007
A transcendental number is a 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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