I don't mean for this to sound like blasphemy, but I've heard this before. One of my analysis professors said something along the lines of "Baby Rudin is great if you need to learn how to write proofs." He went on to say that there were better, more modern texts for introductory analysis. His reasoning for why Baby Rudin is inferior to some of these books is that Rudin doesn't introduce topics such as normed linear spaces, Banach spaces, (a very good treatment of) measure, etc...
2026-03-28 10:02:09.1774692129
Is Rudin's PMA Outdated?
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1
Baby Rudin is an excellent book for the first 1/2 courses in Analysis. The topics you mention (Banach spaces, measure) do not came up usually in these courses or if they do they appear only in a mild manner. So use the baby Rudin and do not worry about it.