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Math Help - Minimum-modulus principle question

  1. #1
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    Minimum-modulus principle question



    I'm thinking that by Cauchy's theorem, the integral around gamma would equal zero unless there is a singularity inside gamma, so that is where the zero inside comes from. However, I fail to see how it being constant is an application of the maximum modulus principle?

    Because, if f(z) = w, then g(z) = f(z) - w is identically zero around gamma?
    Last edited by davismj; April 22nd 2010 at 04:44 PM.
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  2. #2
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    This question is from the take-home test.
    Last edited by mr fantastic; April 23rd 2010 at 03:02 PM.
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  3. #3
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    Quote Originally Posted by Intsecxtanx View Post
    This question is from the take-home test.
    Please pm me with proof of this claim. In the meantime, the thread is temporarily closed while this gets sorted out.
    Last edited by mr fantastic; April 23rd 2010 at 03:03 PM.
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