Re:How to Read Mathematics
by forgotpwagain on Monday May 01, 2017 @01:08AM
(#14235688)
It would be remiss to not mention the well-curated list by Gerard 't Hooft [1999 Nobel Laureate in Physics]. A lot of books on the list, but also a lot of links to freely available lecture notes or online books as well.
http://www.staff.science.uu.nl/~gadda001/goodtheorist/ (sidebar for specific areas).
Mathoverflow and math.stackexchange soft-questions tag has lots of mini-essays, e.g. https://mathoverflow.net/questions/143309/how-do-you-not-for...
and https://math.stackexchange.com/questions/617625/on-familiari...
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For proofs, books by Polya, Velleman, Hammack etc
Prof Baez' reading lists for math and physics: http://math.ucr.edu/home/baez/books.html