Diophantine approximation

approximating real numbers with rational numbers

Diophantine approximation is a branch of number theory originally created by Diophantus for estimating any given real number as a ratio of two integers.[1] Much of the current research into this topic is on whether or not this theory can be applied to algebraic numbers. Diophantine approximation is useful in a variety of areas in number theory, so this method is often used.[1]


  1. 1.0 1.1 "Diophantine approximations - Encyclopedia of Mathematics". www.encyclopediaofmath.org. Retrieved 2019-12-09.