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.
Follow-up to Baby Rudin
5
$\begingroup$
analysis
reference-request
soft-question
self-learning
2 Answers
14
Why not follow up with Rudin's Real and Complex Analysis? It contains real, complex and functional analysis all in one! Totally awesome!
-
1Darn. I clicked on this question to say the same thing. – 2012-12-05
-
0Are you wrongly doing some conflating here? Baby Rudin = Principles of Mathematical Analysis; Papa Rudin = Real and Complex Analysis; Grandpa Rudin = Functional Analysis; source: Wikipedia article on Walter Rudin: https://en.wikipedia.org/wiki/Walter_Rudin – 2017-05-19
6
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.
-
0Of 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. – 2012-12-06
-
0Hi @jessemadnick, how would you compare Folland's Real Analysis book with Royden's book? – 2016-05-21
-
2@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. – 2016-05-21