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 103 time(s).

ComplexColor.pdf (1 MiB) downloaded 108 time(s).

Best regards.
Alvaro.

And the more classical complex map.

ComplexMap.sm (49 KiB) downloaded 79 time(s).

ComplexMap.pdf (1 MiB) downloaded 90 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 84 time(s).

ComplexCharts.pdf (2 MiB) downloaded 80 time(s).



Best regards.
Alvaro.