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

ComplexColor.sm (63.65 KiB) downloaded 847 time(s).

ComplexColor.pdf (1.72 MiB) downloaded 454 time(s).

Best regards.
Alvaro.

And the more classical complex map.

ComplexMap.sm (49.67 KiB) downloaded 813 time(s).

ComplexMap.pdf (1.2 MiB) downloaded 410 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 (106.58 KiB) downloaded 868 time(s).

ComplexCharts.pdf (2.35 MiB) downloaded 434 time(s).



Best regards.
Alvaro.