# winding number

## Primary tabs

Synonym:
index
Type of Math Object:
Definition
Major Section:
Reference

## Mathematics Subject Classification

### winding number

is there an algorithmic way to define a winding number and relate it to line integral as defined in complex analysis. it should wotk even if the index is any integer

### Re: winding number

the number w(c)=(1/(2\pi i))\int_c(1/z)dz counts the turns that the curve c gives around the origin. Try c(t)=exp(2 i n \pi t) to see sample