Diophantine approximation [SEP] named after
Diophantine approximation
In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus of Alexandria.
The first problem was to know how well a real number can be approximated by rational numbers. For this problem, a rational number "a"/"b" is a "good" approximation of a real number "α" if the absolute value of the difference between "a"/"b" and "α" may not decrease if "a"/"b" is replaced by another rational
List of things named after Peter Gustav Lejeune Dirichlet
The German mathematician Peter Gustav Lejeune Dirichlet (1805–1859) is the eponym of many things.
Mathematics.
- Theorems named "Dirichlet's theorem":
- Dirichlet's approximation theorem (diophantine approximation)
- Dirichlet's theorem on arithmetic progressions (number theory, specifically prime numbers)
- Dirichlet's unit theorem (algebraic number theory and rings)
- Dirichlet beta function
- Dirichlet boundary condition (differential equations)
- Dirichlet characters (number theory