# algebraic number

A number $\alpha\in\mathbb{C}$ is called an algebraic number if there exists a polynomial $f(x)=a_{n}x^{n}+\cdots+a_{0}$ such that $a_{0},\ldots,a_{n}$, 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