 ##  [Residue Calculation](/residue-calculation) 

  ##  [Residue Calculation](https://puremath.quantumdictionary.io/residue-calculation-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The process of locating isolated singularities (poles) of a meromorphic function and computing the coefficients (residues) of the (z − z0)−1 term in the Laurent expansion, then using those residues to evaluate integrals or sums via the residue theorem or contour deformations.