So the in the equation for the winding number/index of a curve(adsbygoogle = window.adsbygoogle || []).push({});

I([itex]\gamma[/itex], z) = [itex]\frac{1}{2i\pi}[/itex] [itex]\int\gamma \frac{1}{ζ-z}dζ[/itex]

where [itex]\gamma[/itex] : [a, b] → ℂ and z is an arbitrary point not on [itex]\gamma[/itex], what exactly does ζ represent?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Complex anaylsis, winding number question.

**Physics Forums | Science Articles, Homework Help, Discussion**