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