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Intro to analysis?

  1. Sep 12, 2007 #1
    a gentle intro to real analysis? any suggestions anyone? something very readable?
  2. jcsd
  3. Sep 12, 2007 #2
    Calculus by Michael Spivak is a very readable introduction to real analysis-- that is, analysis on R.
    If you want something which starts with R and moves onto the more general metric space, Hilbert and Banach space setting though, a very readable (Dover) book is Foundations of Mathematical Analysis by Richard Johnsonbaugh and W.E. Pfaffenberger.
    You might also appreciate a book on topology if you're looking for something of the latter category-- I'm currently reading through Introduction to Topology by Theodore W. Gamelin and Robert Everist Greene.
    Both books were recommended to me in this thread, so you might want to take a look there as well.
  4. Sep 12, 2007 #3
    Pughs Real Mathematical Analysis is IMO the best introductory analysis book for learning the subject.
  5. Sep 25, 2007 #4
    for anyone else i was recommended understanding analysis by stephen abbott
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