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 105 time(s).

ComplexColor.pdf (1 MiB) downloaded 110 time(s).

Best regards.
Alvaro.

And the more classical complex map.

ComplexMap.sm (49 KiB) downloaded 81 time(s).

ComplexMap.pdf (1 MiB) downloaded 92 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 86 time(s).

ComplexCharts.pdf (2 MiB) downloaded 82 time(s).



Best regards.
Alvaro.