 
Summary: Can your computer do complex analysis?
Helmer Aslaksen
Department of Mathematics
National University of Singapore
Singapore 117543
Singapore
aslaksen@math.nus.edu.sg
www.math.nus.edu.sg/aslaksen/
1 Introduction
The purpose of this paper is to elaborate on the results in my earlier paper on
multiplevalued complex functions ([Asl96]) using the unwinding number nota
tion introduced by Corless and Jeffrey ([CJ96]).
2 Basic problems of multiplevalued complex func
tions
For z D x C iy, the complex exponential function is defined by
ez
D ex
.cos y C i sin y/:
We define the principal argument by z D jzjei Arg z
where Arg z 2 . ; . We
