Hi. The attached shows how to plot complex functions plotting a colormap of it's argument, and how to interpret that plot.

ComplexColor.sm (63 KiB) downloaded 90 time(s).

ComplexColor.pdf (1 MiB) downloaded 96 time(s).

Best regards.
Alvaro.

And the more classical complex map.

ComplexMap.sm (49 KiB) downloaded 66 time(s).

ComplexMap.pdf (1 MiB) downloaded 76 time(s).

Best regards.
Alvaro.

Both toghether with an improved complex map. But the previous reamins because can be useful for simple functions, as it is faster ( For compare can be seen https://www.wolframalpha.com/input/?i=complex+map+ln%28z%29 )

ComplexCharts.sm (106 KiB) downloaded 71 time(s).

ComplexCharts.pdf (2 MiB) downloaded 67 time(s).



Best regards.
Alvaro.