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Bulletproof analysis book

  1. Oct 26, 2008 #1
    Hi. I have a final exam and I need a good Analysis book. I've read Leithold's Calculus but the problems given in the exam are way more difficult and tend to be very tricky, so the book has to have difficult exercises.

    The topics covered are:
    Sequences and series
    Limits and continuity
    Differentiation
    Integration.Methods of integration

    Thanks.
     
  2. jcsd
  3. Oct 26, 2008 #2

    mathwonk

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    sounds like a job for spivak, calculus.
     
  4. Oct 26, 2008 #3
    How about rudin? it's hard but once you go through it, everything will become clear. Plus, the exercises range from easy to almost impossible... so doing them should prepare you well. (there is also a chance that actual exam problems might come from rudin).
     
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