In my opinion Baby Rudin isn't a great textbook to learn from. It's the standard textbook for analysis, but I think it's better as a reference than as something to learn from. (In contrast, I found Hatcher to be a great textbook for learning algebraic topology.) I have heard that Terry Tao's analysis textbook is good, but I haven't read it myself so I can't confirm.
Well, time to go find a PDF, lol. Seems like it's pretty widely available in PDF, at least.
In my opinion Baby Rudin isn't a great textbook to learn from. It's the standard textbook for analysis, but I think it's better as a reference than as something to learn from. (In contrast, I found Hatcher to be a great textbook for learning algebraic topology.) I have heard that Terry Tao's analysis textbook is good, but I haven't read it myself so I can't confirm.