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Bounds on zeroes theorem? requires calc proof?

  1. Nov 30, 2011 #1
    I've come across the bounds on zeros theorem in my algebra book, but they don't seem to try to offer proof for it. Does this proof require calculus?
     
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  3. Nov 30, 2011 #2

    micromass

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    What IS the zeros theorem??
     
  4. Dec 7, 2011 #3
    here
     

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  5. Dec 7, 2011 #4

    micromass

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  6. Dec 7, 2011 #5
    So I do need more than algebra to understand it and this is why they didn't show proof of it?
     
  7. Dec 7, 2011 #6
    Yes to understand that you'll need to learn so set theory and logic i believe.
     
  8. Dec 7, 2011 #7

    micromass

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    Yes.


    There might be proofs with only algebra, but I do not know them.
     
  9. Dec 7, 2011 #8
    what are good books on this?
     
  10. Dec 7, 2011 #9

    micromass

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    Read "Complex Analysis" by Freitag and Busam. But in order to be able to read that, you'll need some familiarity with calculus I-III and real analysis.
     
  11. Dec 7, 2011 #10

    What book would be good for real analysis?
     
  12. Dec 7, 2011 #11

    micromass

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    I'd say "principles of real analysis" by Aliprantis and Burkinshaw/
     
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