New answers tagged

1

Beardon's book is sadly out of print, but detailed proofs of results concerning the winding number, or the index [incidentally, I don't think that one can distinguish these two terms, at least not in the way attempted in the question, although the same number associated with a plane curve is defined in the literature in two different ways, and the question ...


1

I give a $\mathbf{\text{positive}}$ answer to my own question, thanks to How to show that the integral $\frac{1}{2\pi i} \int_{\gamma} \frac{dz}{z - a}$ is integer-valued when the curve $\gamma$ is not piecewise smooth?. In the beginning, I post here some main statements which we will observe in detail later: statement 1 Let $\epsilon$ be an ...


Top 50 recent answers are included