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There's a few books on how to approach books and problems, e.g. don't strain on first seeing new material. Lara Alcock wrote 2 books on studying math which see
by gtani 9y ago
There's a few books on how to approach books and problems, e.g. don't strain on first seeing new material. Lara Alcock wrote 2 books on studying math which seem to have the same ToC, a lot of undergrad programs have materials on proofs and how to transition from high school problem solving: http://web.archive.org/web/20150319020039/http://www.maths.cam.ac.uk/undergrad/studyskills/text.pdf http://web.archive.org/web/20150319020039/http://www.maths.c...
Mathoverflow and math.stackexchange soft-questions tag has lots of mini-essays, e.g. https://mathoverflow.net/questions/143309/how-do-you-not-forget-old-math https://mathoverflow.net/questions/143309/how-do-you-not-for...
and https://math.stackexchange.com/questions/617625/on-familiarity-or-how-to-avoid-going-down-the-math-rabbit-hole 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 http://math.ucr.edu/home/baez/books.html
- forgotpwagain 9y agoIt 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/ http://www.staff.science.uu.nl/~gadda001/goodtheorist/ (sidebar for specific areas).