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Good real analysis books

by nlsherrill
Tags: analysis, books, real
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Feb12-12, 01:30 PM
P: 322

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.
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Feb12-12, 02:28 PM
P: 948
Here's the one that I used. It's good:

I haven't seen this but it seems to get excellent reviews on amazon:
Feb12-12, 03:07 PM
P: 1,072
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).

Feb12-12, 03:40 PM
P: 322
Good real analysis books

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.
Feb13-12, 10:17 AM
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P: 3,288
You might want to check out

The Way of Analysis


Understanding Analysis
Feb16-12, 08:34 PM
P: 54
Kolmogorov & Fomin is pretty good...
Feb19-12, 09:25 AM
P: 52

Mathwonk praises this book highly. I haven't read any real analysis yet so I can't comment, but I thought I'd throw it out there.
Feb19-12, 03:15 PM
P: 12
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.

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