Representations of Complex Numbers
The new functions ReIm and AbsArg make it easy to convert a complex number to either its Cartesian or polar representation.
Convert a complex number 
to the ordered pair 
.
In[1]:=
ReIm[3 + 4 I]Out[1]=
Convert several numbers.
In[2]:=
ReIm[{Pi, -2 I, Sqrt[-I], 3 Exp[I 2 Pi/3]}] Out[2]=
Convert a complex number 
to the ordered pair 
.
In[3]:=
AbsArg[3 + 4 I]Out[3]=
Convert several numbers.
In[4]:=
AbsArg[{Pi, -2 I, Sqrt[-I], 3 Exp[I 2 Pi/3]}] Out[4]=
Plot a complex-valued function as a curve in the complex plane.
In[5]:=
ParametricPlot[ReIm[(-2)^x], {x, 0, 4}]Out[5]=
Annotate specific points in a complex-plane plot.
In[6]:=
JuliaSetPlot[-1, PlotRange -> 1.75,
Epilog -> {PointSize[Large], White, Point[ReIm[{I/2, -I/2, 1, -1}]]}]Out[6]=
