here's a dirty seceret: we (people that have mathematical training) don't read the notation very closely either. it's very much like reading code: i don't look very closely unless there's a pattern i don't recognize or one that's broken. so ironically reading notation is about ignoring notation :) the problem for you is that you simply haven't had enough exposure to know what the "patterns" are and hence don't have t…
Ask HN: How can I learn to read mathematical notation?
11–20 of 148 posts
Re: Ask HN: How can I learn to read mathematical notation?
#12here's a dirty seceret: we (people that have mathematical training) don't read the notation very closely either. it's very much like reading code: i don't look very closely unless there's a pattern i don't recognize or one that's broken. so ironically reading notation is about ignoring notation :) the problem for you is that you simply haven't had enough exposure to know what the "patterns" are and hence don't have t…
Re: Ask HN: How can I learn to read mathematical notation?
#13Re: Ask HN: How can I learn to read mathematical notation?
#14[1] https://www.coursera.org/learn/machine-learning?authMode=log...
Re: Ask HN: How can I learn to read mathematical notation?
#15https://en.wikipedia.org/wiki/List_of_logic_symbols https://en.wikipedia.org/wiki/Table_of_mathematical_symbols These might help a bit. But as someone with similar problems, I'm beginning to think there's no real solution other than thousands of hours of studying.
I've spent time studying number theory (Ph.D. Berkeley, wrote 30+ papers and 3 books), and it really is very deep. If understanding some notation or mathematics doesn't come easily to you, that's normal. It often takes Ph.D. students years of fulltime study just to understand a single research paper. This is because mathematics is a very deep subject, certainly much deeper than everything else I've encountered in academia. The good part is that pretty much all mathematics does make sense, and can be truly 100% understood if you're willing to invest enough time, unlike the case with many other things in life! An added bonus is that much of mathematics is also incredibly beautiful, when you understand it.
Listening to lectures by excellent speakers (many are on youtube now) helps a lot.
Re: Ask HN: How can I learn to read mathematical notation?
#16As a rule of thumb, I would advise to start with elementary linear algebra, statistics, and probability. Edit: As pointed out by a reply comment, these require a good grasp of calculus.
Notation is only syntactic, most importantly you want to understand the semantics (i.e the significance of the construction your are studying). To achieve this, you need to do the proper background work and the rest will follow naturally.
Re: Ask HN: How can I learn to read mathematical notation?
#17Re: Ask HN: How can I learn to read mathematical notation?
#18It's difficult to google mathematical stuff, especially since each symbol has many different meanings depending on which branch of mathematics you're dealing with - this book solves that problem nicely by letting you look up by the roman letter a symbol is similar to, by mathematical discipline, etc.
Re: Ask HN: How can I learn to read mathematical notation?
#19Re: Ask HN: How can I learn to read mathematical notation?
#20https://en.wikipedia.org/wiki/List_of_logic_symbols https://en.wikipedia.org/wiki/Table_of_mathematical_symbols These might help a bit. But as someone with similar problems, I'm beginning to think there's no real solution other than thousands of hours of studying.
"There is no Royal Road to Geometry." -- Euclid I've spent time studying number theory (Ph.D. Berkeley, wrote 30+ papers and 3 books), and it really is very deep. If understanding some notation or mathematics doesn't come easily to you, that's normal. It often takes Ph.D. students years of fulltime study just to understand a single research paper. This is because mathematics is a very deep subject, certainly much dee…
Inter-universal Teichmüller theory seems to be a counter-example.