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Andrew Wiles proof.

  1. Mar 22, 2009 #1

    MathematicalPhysicist

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    What fields of interest in number theory should I learn to fully understand his and Taylor's proof?
    Is there a comprehensible list?
     
  2. jcsd
  3. Mar 22, 2009 #2

    matt grime

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    Start with the book of the proof (Springer, I think). It will have a comprehensive bibliography for when you need to recursively learn something.
     
  4. Mar 22, 2009 #3

    MathematicalPhysicist

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  5. Mar 22, 2009 #4

    matt grime

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    Read the reviews, decide which one's best for you. Silverman is a good author, for what it's worth.
     
  6. Mar 24, 2009 #5
    Kinda goes against the standard math pedagogical philosophy. I bet when machines go sentient that's how they'll learn.
     
  7. Mar 25, 2009 #6

    matt grime

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    The mathematical pedagogy to which you refer is aimed at teaching a broad canvas of essentials. This is good if someone has decided what those are on your behalf.

    Sometimes, though, if you need to just learn something, say to understand a paper or a particular result, you need to find out what you need to learn, and this is perhaps a case in point.

    To learn basic graduate level algebraic and analytic number theory would be a few years, from scratch. And then you find out that you spent too long on cubic reciprocity when you needed to learn more about L functions and modular forms..
     
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