# Definition:Algebraic Number Field

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## Definition

An **algebraic number field** is a finite extension of the field of rational numbers $\Q$.

## Also known as

An **algebraic number field** is also known as a **number field**, but that term is also seen applied to a more general concept.

## Also see

## Sources

- 1989: Ephraim J. Borowski and Jonathan M. Borwein:
*Dictionary of Mathematics*... (previous) ... (next): Entry:**algebraic number field**