things leaerned in school

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things leaerned in school

Postby papernuke » Wed Nov 28, 2007 6:13 am

when do you learn the things like euclidian space and all that stuff? like reiman's geometry. is it in highschool geometry/trig or college?

[edit] this might have should have been in off topic..
"Civilization is a race between education and catastrophe."
-H.G. Wells
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Postby Keiji » Wed Nov 28, 2007 8:07 am

You don't.

Most of the stuff here you'd learn in university or not at all.

I happen to get most of my info from wikipedia and mathworld.
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Postby houserichichi » Wed Nov 28, 2007 1:24 pm

There are introductory books out there on non-Euclidean geometries. My first taste was in a (relatively non-mathy) book called Euclidean and Non-Euclidean Geometries: Development And History by Greenberg. As for Riemannian geometry proper I wouldn't expect that until you've managed your way through all the variants of calculus (differential, integral, and vector in that order, at least), a chunk of analysis, some topology, and probably a bit of algebra to boot. Then you'd learn some tensor calculus, maybe some more algebra, and probably smack in the middle of some god awful differential geometry course you'd learn about Riemannian geometry. At least that's how I believe things worked for me.
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Postby papernuke » Thu Nov 29, 2007 3:02 am

Hayate wrote:You don't.

Most of the stuff here you'd learn in university or not at all.

I happen to get most of my info from wikipedia and mathworld.


then where did you learn the stuff to know what the wiki and mathworld were talking about? high or univ?
"Civilization is a race between education and catastrophe."
-H.G. Wells
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Postby Keiji » Thu Nov 29, 2007 5:46 am

papernuke wrote:
Hayate wrote:You don't.

Most of the stuff here you'd learn in university or not at all.

I happen to get most of my info from wikipedia and mathworld.


then where did you learn the stuff to know what the wiki and mathworld were talking about? high or univ?


-___- W/M is easy enough for anyone used to mathematical grammar.

I guess I would have started reading them properly when I was 16, after my GCSEs.
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