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Though I lack personal experience with a historical approach to studying mathematics, a starting point could be the reading list by St. John's College as part o
by nohaydeprobleme 4y ago
Though I lack personal experience with a historical approach to studying mathematics, a starting point could be the reading list by St. John's College as part of the materials the faculty uses to teach mathematics to their undergraduates: https://www.sjc.edu/academic-programs/undergraduate/subjects/mathematics https://www.sjc.edu/academic-programs/undergraduate/subjects...
Readings include Archimedes's "On the Equilibrium of Planes" and "On Floating Bodies" and Nicomachus's "Arithmetic." However, I've heard of some mixed reviews on the effectiveness of learning math [1] [2] via reading historical texts at St. John's, versus more traditional approaches today in good mathematics programs.
A bit separately but as a related idea, I've spoken to a couple people who said they preferred older mathematics books from the 1900s to the 1960s for their studies over modern books. I personally prefer modern books with recent editions that are well-recommended, as they usually have good visualizations of ideas and shouldn't frequently have errors (due to their reputation). If you're studying as a hobby, though, the most effective mathematics book, assuming it's reasonably reputable and heard-of, is the one that interests you enough to stick with it for consistent study in the long-term.
[1] https://old.reddit.com/r/stjohnscollege/comments/ehcem3/how_are_the_math_courses_at_stjohns/ https://old.reddit.com/r/stjohnscollege/comments/ehcem3/how_...
[2] https://old.reddit.com/r/stjohnscollege/comments/ngpu0i/math_at_st_johns/ https://old.reddit.com/r/stjohnscollege/comments/ngpu0i/math...
- password11 4y agoIf you go through for the "great books" approach, just be aware that it's not the same curriculum as a major in mathematics: > Mathematics is one of the many subjects studied in the college’s interdisciplinary great books curriculum. There are no majors at St. John’s. It may be fulfilling from a humanistic/personal development perspective, but you won't really have the tools to do anything useful like cryptography, algorithms, physics, statistical inference, data analysis, etc., which, in my mind are the really cool things you can understand by learning math.
- hgsgm 4y ago> cryptography, algorithms, physics, statistical inference, data analysis, None of this is core to any major in mathematics. These are all tangential/elective applications.
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- hnthrowaway0315 4y agoThanks! I think...maybe I'll skip the ancient math books and rely on the modern ones.