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Good real analysis books

  1. Feb 12, 2012 #1

    I am currently taking real analysis(undergraduate course), and am using the book "Introduction to Real Analysis" by Bartle and Sherbert. I think the book is okay overall, but I was hoping to purchase a secondary text to look at whenever I am confused with a proof or something in the Bartle book. Are any of the Dover books on real analysis any good? They are really cheap and thats what I am looking for. I don't need something to work problems out of, just something else to look at in case I don't understand something in Barte.
  2. jcsd
  3. Feb 12, 2012 #2
  4. Feb 12, 2012 #3
    I enjoy Pugh's Analysis text. Very clear, has a bit of humor and it does retain rigor (though some claim it is not completely rigorous in the first couple chapters).
  5. Feb 12, 2012 #4
    Thanks all. Not really worried about rigor, just want good explanation of concepts. Also, a book with some humor(personality) would be great. The text im using is dull, unemotional, and I have a sense that the authors aren't even that trilled by the topic.
  6. Feb 13, 2012 #5


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  7. Feb 16, 2012 #6
    Kolmogorov & Fomin is pretty good...
  8. Feb 19, 2012 #7
    Last edited by a moderator: May 5, 2017
  9. Feb 19, 2012 #8
    I like the following books:

    Brannan - A First Course in Mathematical Analysis

    Estep - Practical Analysis in One Variable

    Unfortunately I have no experience with the Dover titles in analysis, so I can't offer any help on those. The books above are more expensive than most Dover publications, but if you like the Amazon previews/reviews then you might see if your library has copies.
    Last edited: Feb 19, 2012
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