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 479 time(s).

ComplexColor.pdf (1.72 MiB) downloaded 336 time(s).

Best regards.
Alvaro.

And the more classical complex map.

ComplexMap.sm (49.67 KiB) downloaded 454 time(s).

ComplexMap.pdf (1.2 MiB) downloaded 295 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 458 time(s).

ComplexCharts.pdf (2.35 MiB) downloaded 313 time(s).



Best regards.
Alvaro.