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Good Book for Analysis II?

  1. Jan 25, 2013 #1
    Hey guys,

    I'm looking for a good second book in analysis (ideally free/online, but doesn't have to be). My Analysis I class used Baby Rudin and did the first 6 chapters but I really disliked the book.

    Any suggestions would be great! Fwiw, I found Abbott's "Understanding Analysis" really readable, whereas Rudin was terse/uninstructive.

  2. jcsd
  3. Jan 25, 2013 #2
    For multivariable calculus, Munkres' "Analysis on Manifolds" is excellent. Spivak's book is also good but a bit terse, and it takes a similar approach to Munkres, just using less pages. So I'd go for Munkres.
  4. Jan 25, 2013 #3
    Here is Bruckner, Bruckner, & Thomson:


    I used the Elementary Real Analysis one for a Baby Rudin level course. It was pretty good, except some of the later material for differentiation in R^n. I haven't really used the Real Analysis one, but it is mainly on measure theory and Lebesgue integration, if that is what you consider a "second course."
    Last edited: Jan 25, 2013
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