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Math Help - roshe theorem questiom.

  1. #1
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    roshe theorem questiom.

    find the number of roots on the right side of the field
    for
    f(z)=z^6+7z^4-3z^2+z+1

    ??

    usually i have stuff like 1<|z|<4

    but here instead they say "on the right side of the field"
    meaning on the right frim the imaginary axes

    i cant interpret it into a circles like i am use to
    Last edited by transgalactic; July 14th 2010 at 10:35 AM.
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  2. #2
    A Plied Mathematician
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    There's a problem very much like this one, using the argument principle (which can be used to derive Rouche's Theorem). If you look at Gamelin on Amazon.com, click "Search inside this book", type in the following text, quotes included: "We show how to use the argument principle", you'll be able to look at pages 227-8. That's where the example is.
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  3. #3
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    can you give me this page
    i cant buy this book
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  4. #4
    A Plied Mathematician
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    If you have access to the US Amazon page, you won't need to buy the book. Just follow the instructions I gave you after clicking on the link I gave you. Did you try those instructions?
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  5. #5
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    i did exactly like you said
    i got the result that its located on 227
    but i could get to this page because
    it jumps from page 6 to page 447
    i cant get to page 227
    could you post it
    or send it by a private massage
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  6. #6
    A Plied Mathematician
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    Here's an image of it. roshe theorem questiom.-gamelin-p-227-8.jpg
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