Complex Functions:
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Visualizing Complex Functions: In order to investigate a complex function $w = f(z)$, it is necessary to visualize it. We view $z$ and its image $w$ as points in the complex plane, so that $f$ becomes a transformation or mapping from $D$ in the $z$-plane ( $xy$-plane) on to the range $R$ in the $w$-plane ( $uv$-plane).

 

   
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