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# Transcendental numbers

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**Transcendental numbers** are irrational numbers which are not algebraic numbers, i.e. they are not a solution of some polynomial equation of any finite degree (they transcend the algebraic numbers, so to speak). “Most” irrational numbers are transcendental (an uncountable infinity) while “few” irrational numbers are algebraic numbers (a countable infinity).

π |

e |

e i π = − 1 |

i π |

π |

^{ th}century, its transcendence is still an open problem. Whether or not the Euler–Mascheroni constant is transcendental or at least irrational is another open problem.

## References

- Ivan Niven,
*Numbers: Rational and Irrational*. New York: Random House for Yale University (YEAR).^{(add YEAR)}^{[1]}

## Notes

- ↑ To do: add YEAR.