Could someone possible explain the differences between each of these;
Singularities, essential singularities, poles, simple poles.
I understand the concept and how to use them in order to work out the residue at each point, however, done fully understand what the difference is for each of these
As far as i understand a simple pole is a singularity of order $1$?
then we have poles of order $n$ which aren't simple?
not too sure about essential singularity