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I've been at Baby Rudin for a 3 weeks now; being the very first proof based course I'm (self) learning. I've found my footing and am solving the same using the following tools and it's going GREAT:

1) Bill Kinney makes Rudin fun!

2) So does Winston Ou, but with more rigour!

3) I solve MIT's OCW Real Analysis HW along with Rudin's exercises

TL:DR

My Question: I've never felt slower learning Maths and building conceptual intuition; would like to hear about/have identified one's personal conceptual pitfalls that have occured to seasoned veterans while taking an initial RA course, so I can be wary of it during my learning process?

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  • $\begingroup$ One common failing is writing a proofs as a sequence of disconnected assertions. Make a habit of writing a proof as a story, with proper grammar and punctuation. And especially not omitting justifications. And always always always use the definitions. They are the basic toolkit. Don't be afraid to skip forward & back in the book. $\endgroup$ – DanielWainfleet May 9 '18 at 17:39

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