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 298 time(s).

ComplexColor.pdf (1.72 MiB) downloaded 282 time(s).

Best regards.
Alvaro.

And the more classical complex map.

ComplexMap.sm (49.67 KiB) downloaded 283 time(s).

ComplexMap.pdf (1.2 MiB) downloaded 248 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 294 time(s).

ComplexCharts.pdf (2.35 MiB) downloaded 262 time(s).



Best regards.
Alvaro.