# algebraic number

A number $\alpha \in \u2102$ is called an *algebraic number ^{}* if there exists a polynomial $f(x)={a}_{n}{x}^{n}+\mathrm{\cdots}+{a}_{0}$ such that ${a}_{0},\mathrm{\dots},{a}_{n}$, not all zero, are in $\mathbb{Q}$ and $f(\alpha )=0$.

Title | algebraic number |

Canonical name | AlgebraicNumber |

Date of creation | 2013-03-22 11:45:38 |

Last modified on | 2013-03-22 11:45:38 |

Owner | KimJ (5) |

Last modified by | KimJ (5) |

Numerical id | 10 |

Author | KimJ (5) |

Entry type | Definition |

Classification | msc 11R04 |

Classification | msc 41A58 |

Classification | msc 41A50 |

Classification | msc 42B05 |

Classification | msc 42A16 |

Classification | msc 42C15 |

Classification | msc 18-00 |

Related topic | Pi |

Related topic | Irrational |

Related topic | AlgebraicElement |

Related topic | DegreeOfAnAlgebraicNumber |