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tele: work backwards, for every point on your sphere, take the tangent and perp that you are describing, and try to construct your containing object with the properties you want.
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Werg22 said:Are most pure mathematicians and pure math students full of themselves, like the ones I keep on meeting?
Werg22 said:Are most pure mathematicians and pure math students full of themselves, like the ones I keep on meeting?
PowerIso said:I like to say the same about the engineer students, but I know better. For the most part, I just remember them being engineer majors because they were jerks. To the same extent, I realize I know just as many, if not more, engineer majors that are cool people, just I don't associate the niceness to engineering.
Anyway, I can say that pure math students can be cocky, but I think cocky can be confused with confidence. It takes high confidence and esteem to be a pure math student. You'll fail more often than succeed :D
Werg22 said:There's a difference between being cocky and to expect nothing less than people bowing down to you.
PowerIso said:I think people confuse the two a lot. Especially when you first meet a person.
Werg22 said:The one's I met generally have allot of pretence in their voice and seem almost vexed that you address them.
You need to have some grades on paper -- so purely self-study wouldn't work -- but, conversely, you don't need straight A's, a 1st, or 4.0s, afaic (this is the top grade, right?)tronter said:and the means of learning the subject material do not matter (i.e self study)?
Then again if you're taught by someone who knows what they're talking about, they could tell you something you would not find in any textbook, or summarize an entire chapter in one single, brief but illuminating comment!tronter said:Yeah, for example, if one self studies Analysis by an expert like Dieudonne/Simmons, he would probably be more prepared than one who is taught Analysis from a more contemporary text.
Or if one self studies Algebra by Hungerford/Lang, vs. someone who is taught algebra using Beachy/Blair etc..
I think self study forces you to develop your own perspectives of math rather than following a professor's.