1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Countable, uncountable sets

  1. Sep 9, 2010 #1
    1. The problem statement, all variables and given/known data

    A complex number z is said to be algebraic if there are integers
    a0; a1...; an not all zero such that z is a root of the polynomial,
    Prove that the set of all algebraic numbers is countable.

    2. Relevant equations



    3. The attempt at a solution

    For every natural number N there are only finitely many such polynomials

    But how to prove the set is countable
     
  2. jcsd
  3. Sep 9, 2010 #2

    Office_Shredder

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Finitely many such polynomials that do what?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook