>>11213217It’s a good book for going further from first semester analysis. I highly recommend Abbott from my own personal experiences, which walks you through a lot of the intuition and big results for the real line. Then I suggest going through Rudin for the following
1) to understand the field axioms and construction of the reals via dedekind cuts (and, in the exercises, construct the real line via equivalence relations on Cauchy sequences of rationals)
2) doing all exercises you can on analysis in general metric spaces. Rudin exercises are really, really good. Even the basic one on showing that exponentiation in the reals by a real actually makes sense is very informative.
Everything up to chapter 7ish is good. After that, go to another analysis book and / or read munkres / your favorite topology book
