##  [Diophantine Approximation](/diophantine-approximation) 

  ##  [Diophantine Approximation](https://puremath.quantumdictionary.io/diophantine-approximation-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The field that studies how closely real (or more general) numbers can be approximated by rationals or algebraic numbers, quantifying approximation rates, establishing existence of infinitely many good approximants, and classifying numbers by their approximation quality.