If is a Root of the Polynomial equation

(1) |

(2) |

If is an algebraic number of degree satisfying the Polynomial

(3) |

Any number which is not algebraic is said to be Transcendental.

**References**

Conway, J. H. and Guy, R. K. ``Algebraic Numbers.'' In *The Book of Numbers.* New York: Springer-Verlag,
pp. 189-190, 1996.

Courant, R. and Robbins, H. ``Algebraic and Transcendental Numbers.'' §2.6 in
*What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed.*
Oxford, England: Oxford University Press, pp. 103-107, 1996.

Hancock, H. *Foundations of the Theory of Algebraic Numbers. Vol. 1: Introduction to the General Theory.* New York: Macmillan, 1931.

Hancock, H. *Foundations of the Theory of Algebraic Numbers. Vol. 2: The General Theory.* New York: Macmillan, 1932.

Wagon, S. ``Algebraic Numbers.'' §10.5 in *Mathematica in Action.* New York: W. H. Freeman, pp. 347-353, 1991.

© 1996-9

1999-05-25