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 95 time(s).

ComplexColor.pdf (1 MiB) downloaded 98 time(s).

Best regards.
Alvaro.

And the more classical complex map.

ComplexMap.sm (49 KiB) downloaded 69 time(s).

ComplexMap.pdf (1 MiB) downloaded 78 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 74 time(s).

ComplexCharts.pdf (2 MiB) downloaded 70 time(s).



Best regards.
Alvaro.