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Transcendentals galore

Published online by Cambridge University Press:  22 September 2016

J. B. Wilker
J. B. Wilker*
Affiliation:
Scarborough College, University of Toronto, West Hill, Ontario M1C 14A, Canada
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Extract

The natural numbers are the elements of the set N = {1,2,3,…}, the integers are the elements of the set Z = {0,± 1,±2,…} and the rational numbers are the elements of the set Q = {p/q:pεZ, qε6 N}. A real number is called algebraic if it is the root of a polynomial equation

P(x) = anxn + an−1xn−1 +…+ a1x + a0 = 0

Type
Research Article
Information
The Mathematical Gazette , Volume 66 , Issue 438 , December 1982 , pp. 258 - 261
Copyright
Copyright © Mathematical Association 1982

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References

1. Gelfond, A. O., Transcendental and algebraic numbers, Dover (1960).Google Scholar
2. Hardy, G. H. and Wright, E. M., The theory of numbers (4th ed.), Oxford (1960).Google Scholar