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The residue is a complex number that is assigned to a function at a singularity. The residue theorem provides a formula for calculating the sum of the residues of a complex function within a closed curve and thus offers another method for calculating complex curve integrals. The essential tool is the Laurent series expansion of the integrand.

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The Residue Calculus

  • 章节

  • 发表日期：

    2026年

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  • Christian Karpfinger

摘要

The residue is a complex number that is assigned to a function at a singularity. The residue theorem provides a formula for calculating the sum of the residues of a complex function within a closed curve and thus offers another method for calculating complex curve integrals. The essential tool is the Laurent series expansion of the integrand.