Withthissecondvolume,weentertheintriguingworldofcomplexanalysis.Fromthefirsttheoremson,theeleganceandsweepoftheresultsisevident.Thestartingpointisthesimpleideaofextendingafunctioninitiallygivenforrealvaluesoftheargumenttoonethatisdefinedwhentheargumentiscomplex.Fromthere,onep