Diophantine approximation, the approximation of real numbers by rational numbers.
Diophantine equation | Orders of approximation | Stirling's approximation | Polynomial-time approximation scheme | Diophantine geometry | Born approximation | Wien approximation | Simultaneous perturbation stochastic approximation | polynomial-time approximation scheme | Korringa–Kohn–Rostoker approximation | Glossary of arithmetic and Diophantine geometry | Eikonal approximation | Diophantine approximation | Diophantine | Derjaguin approximation | Boussinesq approximation | Approximation |
The following lemma is usually known as Liouville's theorem (on diophantine approximation), there being several results known as Liouville's theorem.
Thue–Siegel–Roth theorem, also known as Roth's theorem, is a foundational result in diophantine approximation to algebraic numbers.