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Using complex description of div and curl in 2d?

  1. Jan 14, 2016 #1
    In trying to get an intuition for curl and divergence, Ive understood that in the case of R2, div f(x,y) = 2Re( d/dz f(z,z_)) and curl f(x,y) = 2Im( d/dz f(z,z)), where f(z,z) is just f(x,y) expressed in z and z conjugate (z). Is there any way of proving the fundamental properties of div and curl and/or understanding them better by looking at d/dz f(z,z)?
  2. jcsd
  3. Jan 14, 2016 #2
    some characters did not write out, f(z,z_) its supposed to say, with z_ being complex conjugate
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