3 ms·
I can verify this approach works for me. The other thing I suggest is use "getting stuck" as a way to identify gaps - go look for books that fill those gaps. R
by jwdunne 10y ago
I can verify this approach works for me. The other thing I suggest is use "getting stuck" as a way to identify gaps - go look for books that fill those gaps.
Recently I cracked open Principle of Analysis by Rudin. I got stuck pretty much straight away and looked it up - I saw a few suggestions for a bridge between high school maths and the rigor required by that book. I'm now reading another book that took inspiration from the previously mentioned book but gives a bit shallower a slope towards the rigor required.
- mrkgnao 10y agoPugh, by any chance?
- jwdunne 10y agoKrantz. Seems to be at a decent pace. No idea if it's any good though - problem of not having a mentor!
- gtani 10y agoThat book got good reviews. /r/math has lots of threads on this, recommend Abbott, Tao, Pugh, Spivak etc https://www.reddit.com/r/math/comments/50m4ib/what_are_the_main_differences_between_rudin_and/ https://www.reddit.com/r/math/comments/50m4ib/what_are_the_m... https://www.reddit.com/r/math/comments/4jopme/is_it_premature_for_me_to_start_reading_baby_rudin/ https://www.reddit.com/r/math/comments/4jopme/is_it_prematur... https://www.reddit.com/r/math/comments/512p2p/analysis_text_for_selfstudy/ https://www.reddit.com/r/math/comments/512p2p/analysis_text_...
- jwdunne 10y agoThank you :) I'm currently reading Calculus by Spivak too. Fantastic book. I find getting a taste and moving forward breadth-first keeps things fresh.
- deleted 10y ago[deleted]