# Computable real number

From Encyclopedia of Mathematics

A real number for which there exists an algorithm which yields a rational approximation to the number, as accurate as one pleases. The term "constructive real number" has a similar meaning, and is usually employed when a computable real number is considered in the framework of some system of constructive mathematics (see Constructive analysis).

**How to Cite This Entry:**

Computable real number. B.A. Kushner (originator),

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Computable_real_number&oldid=13549

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098