algebraic number

American  

noun

Mathematics.

1. a root of an algebraic equation with integral coefficients.

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algebraic number British  

noun

1. any number that is a root of a polynomial equation having rational coefficients such as √2 but not π Compare transcendental number

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Etymology

Origin of algebraic number

First recorded in 1930–35

Example Sentences

The tools used to attack it, however, include key advances in algebraic number theory in the late 19th century, as well as in modular forms in the early 20th century.

From Scientific American • Oct. 14, 2021

For example, an algebraic number is the solution to a polynomial equation.

From Scientific American • Jan. 12, 2019

For further literature consult Hibert's report on the theory of algebraic number realms, published in volume 4 of the Jahreshericht der Deutschen Mathernatiker-Vereinigung, and volume 1 of the Encyklopadie der mathematischen Wissenschaften.

From Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 by Anonymous

David Boyd, Small Salem numbers, Duke Math Journal, vol 44, 1977, pp. 315-328 this number is an algebraic number of the 10th degree.

From Miscellaneous Mathematical Constants by Plouffe, Simon