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What Is the meaning of the residue of a complex function?

Studying complex analysis I saw that, in many cases, the residue's theorem comes really handful. I learned how to find it and how to use it, but I didn't quite understand what it really means "geometrically", if this makes any sense.

Is there an intuitive way to explain what a residue is, or is it just a mathematical tool?



from Hot Weekly Questions - Mathematics Stack Exchange

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