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Complex differentiability

  1. Aug 9, 2008 #1
    Is there a geometric meaning for the derivative of a complex valued function, or any other motivation for the derivative?
  2. jcsd
  3. Aug 9, 2008 #2


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    Do you mean the Cauchy-Riemann equations? They just say that if you calculate the directional derivative along any line through a point you'll get the same answer regardless of direction. Write down the directional derivative of a function along the real direction and the imaginary direction and set them equal. You'll get CR.
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