C++ author, trainer
We can agree to differ. I'm not joking about Schaum. Have you seen that book or is it a knee-jerk reaction?What % of incoming MFE students do you think even take real analysis? I’d venture to say less than 10%. If you’re going to learn real analysis, Rudin is certainly not a bad candidate to start with. Like I said, Pugh and Zorich also have written good analysis books, but in my opinion Rudin is a must read book for math majors and is still very much present in honors UG math real analysis sequences in the US.
Real and complex analysis by Rudin is not UG level, it largely functions as a first year PhD text for a real/complex analysis sequence.
And Schaum’s outlines real analysis instead of Rudin? Surely this must be a joke?
I did Rudin R & C in 2nd year undergrad (in Europe)