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How to Learn Advanced Mathematics Without Heading to University – Part 3

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Re: How to Learn Advanced Mathematics Without Heading to University – Part 3

#182
post #125

Earlier quoted context omitted.

Its it stupid at all. I taught myself Triginometry from a book for fun . Sure, not everyone's idea of a good time but I don't see the need to take a University or College course for lots of money when in fact I only spent about AU$34.95 on a good book and I didn't need to feel rushed in getting to grips with the concepts. I learn different things at different speeds, a course makes me go at a speed I don't enjoy. Thi…

It's not about need, it's the structure that a university provides when you're trying to study complex topics. And trigonometry is taught in high schools? It's something most children pick up, I don't think it's a fair comparison to say, measure theory.

You think trigonometry is taught in primary school?

You miss the point also: I was taught trig in high school, and I remember SOHCAHTOA, etc - but until I looked at lines drawn on a unit circle and worked put what secant, sine, tangent and their corresponding ratios meant I didn't really understand trig.

Re: How to Learn Advanced Mathematics Without Heading to University – Part 3

#183

Earlier quoted context omitted.

> You suggest trading some of that free time for cash, as if unemployment were something people solve by snapping their fingers and choosing to make a trade Not at all; I meant in the form of a loan, where free time is time you would otherwise spend retired. And I was also assuming that you already have a decent job that allows you to work 40 hours or so and make a comfortable enough living to consider spending your…

Such as Ramanujan. ;)

Sure, there are outliers. My post explicitly deals with the common case only.

Re: How to Learn Advanced Mathematics Without Heading to University – Part 3

#184

Earlier quoted context omitted.

Such as Ramanujan. ;)

Sure, there are outliers. My post explicitly deals with the common case only.

Yes, but think about those in between the outliers. Troubled situations and many cases where loans aren't feasible or possible.

I'll pass on a world where policy and education only deals with the common case.

Re: How to Learn Advanced Mathematics Without Heading to University – Part 3

#185

Earlier quoted context omitted.

Sure, there are outliers. My post explicitly deals with the common case only.

Yes, but think about those in between the outliers. Troubled situations and many cases where loans aren't feasible or possible. I'll pass on a world where policy and education only deals with the common case.

Of course. I hate the higher ed situation in the US as much as the next guy and wish we could move closer to the systems available in much of Europe, especially Germany (perhaps without the pre-high school bifurcation).

I interpreted this thread as being about advice to a typical person interested in learning math who exists in the society we (specifically, Americans) live in today. For the exceptional, the appropriate advice is of course different.

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