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It's interesting that you say that. I'm trying to square this with my own experiences - I absolutely loved Rudin and to this day it's one of my favorite textboo
by anatoly 11y ago
It's interesting that you say that. I'm trying to square this with my own experiences - I absolutely loved Rudin and to this day it's one of my favorite textbooks; but at the same time I recognize what you're saying about hiding the scaffolding and I share your distaste towards that.
I guess what I love in Rudin is that he gives the Level 2 details in such a lucid logical manner, with nothing missing and yet relatively tersely, all the details interlocking together. I got a sense of real beauty from reading him as an undergraduate that I did not get from other textbooks. I think that enjoyment ranks much higher from me than the disappointment from not getting the motivation early, which I do try to give myself when I teach something.
I wonder if these two can be separated: if a textbook could be Rudin-style in logical unity, terseness, and beauty and yet not "hide the scaffolding". To some degree, I thought Stephen Abbott's "Understanding Analysis" was a step in that direction, though it was still too wordy and meandering compared to Rudin, for me.