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I would like to continue my study of analysis, albeit temporarily in self-study, and I was wondering what would be the best "sequel" to baby Rudin. Thank you very much for your advice.

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up vote 14 down vote accepted

Why not follow up with Rudin's Real and Complex Analysis? It contains real, complex and functional analysis all in one! Totally awesome!

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Darn. I clicked on this question to say the same thing. – Matt Dec 5 '12 at 17:49

I highly recommend Gerald Folland's Real Analysis: Modern Techniques and Their Applications, which is one of the most student-friendly analysis texts out there.

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Of course, if you like Rudin's style of writing (including his terseness), then I think Jasper's suggestion is very good, too: Real and Complex Analysis is a great book. – Jesse Madnick Dec 6 '12 at 10:06
    
Hi @jessemadnick, how would you compare Folland's Real Analysis book with Royden's book? – User001 May 21 at 1:20
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@User001: My personal opinion is that Royden is even friendlier and more elementary, whereas Folland assumes the reader is a little more mathematically mature. But Folland is more thorough (which I really appreciate), and I think ultimately provides students with a stronger background. I like both. – Jesse Madnick May 21 at 1:46

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