Denumerability of the Algebraic Numbers

Marleonie  M. Bauyot,

Denumerability of the Algebraic Numbers

Discipline: Education

Abstract:

An algebraic number is a real number that is a root of a polynomial equation αn Xn + αn-1Xn-1…+α0 where αi are integers. In this paper, using the fact that a polynomial equation of degree n has at most n roots, together with some results, the denumerability of the algebraic numbers is proven.

References:

Lipschutz, S. 1981. General Topology, McGraw Hill Inc., Singapore, pp. 32-38.
Pownall, M. W. 1994. Real Analysis: A First Course with Foundations, W. C. Brown Publishers, U.S.A. pp. 109-115.