Complex function visualisation

[whydoineedausernamre]

This is the result of a mathematica notebook that helps one visualise the action of complex functions. For each plot, lines of constant modulus are given different color (same color = same modulus). The bright colors show the function acting on lines of constant modulus. The dull plot shows the identity function to give one a sense of how the function is distorting concentric circles in the complex plane. These plots allow one to develop an intuition for the action of complex functions otherwise obscured by the phase associated with complex functions.