I am a senior in mathematics, and I have had Advanced Cal I, but currently go to a no name school (there were only three people in the class). I have also taken Advanced Cal II as an independent study. We used Fitzpatrick's Advanced Calculus. I was able to get through Chapter 13 (I have also had an Introductory Topology class). I did fairly well in the classes. Furthermore, I have been accepted to a decent graduate program which uses Rudin's Real & Complex Analysis (as most do) for the Graduate Analysis I and II classes. I understand that it may be difficult to give feed back, but my professor said that it is a big jump from Fitzpatrick to Papa Rudin, but he said it has been a while since he looked at Rudin. My question is is it a bad idea to jump from Fitzpatrick to Papa Rudin, and if so any advice or recommendations?
2026-04-01 17:45:52.1775065552
Question about graduate textbook and class.
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I actually like Fitzgerald, but I think it's a pretty big jump from Fitzgerald to Real and Complex. If you can, I'd read the first 8 chapters of PMA Rudin (so called baby Rudin), and supplement that with Calculus on Manifolds for multivariable stuff. If you don't have time though, the first 8 chapters of baby Rudin I would say are definitely required to really tackle graduate real analysis.