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Re:Ask HN: Have you been able to teach yourself advanced mat... by CuriouslyC on Wednesday May 30, 2018 @10:46PM (#17193575)
Yes. The key is that you need to have a reason to learn it, and a can-do attitude. If you're just studying mathematics because you think it's a good thing to learn you're going to spin your wheels. Pick an interesting real world problem which requires some math, and solve it. Branch out from there to related problems requiring slightly more challenging math. When you get stuck, look at how other people have solved the problem, break the process down into chunks and start digging through wikipedia. When you see the same mathematical tools used repeatedly, or wikipedia isn't sufficient, get a textbook/solution manual and work through applicable problems.

I also advise you to explore math via programming. The notation and conventions in advanced mathematics papers are very subfield dependent. If you attempt to learn just by reading papers you're going to spend a lot of time unpacking exactly what the authors were trying to say. Computer source code is generally much clearer.

In my opinion the easiest way to get a foothold is to start with computer graphics and machine learning. Linear algebra and probability theory are super important and widely applicable, and lots of source is available for study.

Of course, if by advanced mathematics you mean some esoteric field of pure math, most of this goes out the window.

Re:Ask HN: Have you been able to teach yourself advanced mat... by decasteve on Thursday May 31, 2018 @07:19AM (#17195479)
> Of course, if by advanced mathematics you mean some esoteric field of pure math, most of this goes out the window.

You hit a wall pretty quickly when the topics get more abstract. It’s inefficient at best. At this point in my own self-study path in math I ended up going to university.