most recent 30 from http://mathoverflow.net 2013-05-22T01:04:06Z http://mathoverflow.net/feeds/user/13147 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/56831/random-question-is-there-a-set-theoretic-description-of-projective-space mathmoggy 2011-02-27T16:02:21Z 2011-02-27T16:30:29Z

<p>I met projective space via a recent class on perspective drawing, believe it or not, but I didn't know that this was the "space" we were using. I came across a more detailed description trawling the net.</p> <p>In a book on point-set topology that I bought, it describes Euclidean n-space as a field made of (sorry I don't know how to write mathematical symbols yet):</p> <p>[ {n-tuples of reals}, Op("+"), Op(".") ]</p> <p>So what is the equivalent set-theoretic description for projective space? I haven't been able to find one anywhere. All I've found is that basically it is constructed by taking a regular plane and adding the 'horizon' line but I want to understand mathematically what it is. Wiki page is confusing as hell. :(</p>

http://mathoverflow.net/questions/56213/self-taught-undergrad-math-ordering-of-topics mathmoggy 2011-02-21T20:57:07Z 2011-02-22T12:18:16Z

<p>After some initial research on math topics, it seems there are about 4 main streams as follows:</p> <p>1) calculus -> analysis -> complex variables</p> <p>2) linear algebra -> abstract algebra -> topology</p> <p>3) discrete mathematics -> number theory</p> <p>4) statistics</p> <p>By "->", I mean "seems to be a good foundation for". So is studying the above 4 "streams" in parallel a good way to self-school in undergrad math?</p>

http://mathoverflow.net/questions/56831/random-question-is-there-a-set-theoretic-description-of-projective-space/56834#56834 mathmoggy 2011-02-27T16:38:58Z 2011-02-27T16:38:58Z

Hi Aaron - I don't understand why you nave (n+1) as opposed to just n, so clearly my understanding really is more elementary. I'll accept your answer to pass on the points karma nevertheless and re-ask my question on stackexchange as directed. Thanks! :-)

http://mathoverflow.net/questions/56831/random-question-is-there-a-set-theoretic-description-of-projective-space mathmoggy 2011-02-27T16:35:49Z 2011-02-27T16:35:49Z

Sorry - will try stackexchange.com. thanks.

http://mathoverflow.net/questions/56213/self-taught-undergrad-math-ordering-of-topics/56233#56233 mathmoggy 2011-02-22T00:54:48Z 2011-02-22T00:54:48Z

wow... that's awesome. I know it's an irritating question for mathematicians to answer because everything is of course interconnected. I appreciate the attempt to come up with some artificially linear paths that a beginner could follow. Thx!

http://mathoverflow.net/questions/56213/self-taught-undergrad-math-ordering-of-topics mathmoggy 2011-02-21T22:52:00Z 2011-02-21T22:52:00Z

@solomon: I wish! I could open a whole discussion (but won't) on the complete dearth of online/distance ed math degrees... you'd think that a subject that exists in an almost-entirely abstract domain would be a great candidate for teaching methods that <i>don't</i> involve quitting the day job, but no...

http://mathoverflow.net/questions/56213/self-taught-undergrad-math-ordering-of-topics mathmoggy 2011-02-21T21:44:30Z 2011-02-21T21:44:30Z

Wow... thanks for all comments; I have no re-tagging rights, I had to pick something, and math ed was closest. Agree with cyclical nature or math learning, but a newb has to enter the cycle somewhere! :-) Thanks Yemon about advice not to have too rigid a structure. Thx for some high-level corrections to my very newbie tree...