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

In this case, that meant pulling from both algebraic number theory and discrete geometry, which have about as much in common as the marathon and pole vault.

From The Wall Street Journal • May 30, 2026

Now they are solving classic problems in combinatorial geometry using algebraic number theory.

From The Wall Street Journal • May 30, 2026

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