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I feel ashamed to admit that I have taken an applied complex analysis course long before, because honestly I don't think I understand the big picture, which explains why I almost completely forget what I was supposed to learn.

  1. I was wondering what types of integrals are discussed in complex analysis. Are these mostly mentioned ones:

    1. Line integral
    2. integral wrt some Borel measure defined on complex plane, if any?
    3. anything else?
  2. How is Line integral related to integral wrt some Borel measure defined on complex plane, or just on $\mathbb{R}^2$ as which the complex plane is viewed?

Thanks and regards!

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    @Alex: (1) I was originally going to ask questions about integrals on $\mathbb{C}$ and on $\mathbb{R}^n$ in a same post, but I guessed and still think they are so different that mixing them will not make reply easy. (2) I have no other similar questions to flood the site.2011-04-12

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