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    Transformation and Mapping

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    Using the exponential form {see attachment} of z, how that the transformation {see attachment} which is the sum of the identity transformation and the transformation discussed in the attachment, map circles ...

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    Let's take the circle equation in terms of complex functions:
    ( 1)
    and let's apply the given mapping:
    ( 2)
    ( 3)
    we need to highlight the real and imaginary part in (2):
    ( 4)

    Solution Summary

    This is a proof regarding transformations and mapping circles onto ellipses.