Maps of a Complex Variable

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This Demonstration visualizes several complex maps by watching the range morph from the identity map to the desired result as the slider goes from 0 to 1. Part of the domain is colored (i.e., the map at ) so that you can follow it visually as the plot evolves to the final map.
Contributed by: Douglas N. Arnold (March 2011)
Open content licensed under CC BY-NC-SA
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"Maps of a Complex Variable"
http://demonstrations.wolfram.com/MapsOfAComplexVariable/
Wolfram Demonstrations Project
Published: March 7 2011