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 97 time(s).

ComplexColor.pdf (1 MiB) downloaded 100 time(s).

Best regards.
Alvaro.

And the more classical complex map.

ComplexMap.sm (49 KiB) downloaded 72 time(s).

ComplexMap.pdf (1 MiB) downloaded 81 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 77 time(s).

ComplexCharts.pdf (2 MiB) downloaded 72 time(s).



Best regards.
Alvaro.