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I think I want to go into medecine, however, I doubt I'll be able to go far enough in Mathematics. I just finished my junior year of H.S and got an A in AP Calc BC.

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I think I want to go into medecine, however, I doubt I'll be able to go far enough in Mathematics. I just finished my junior year of H.S and got an A in AP Calc BC.

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matt grime

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1. Take the first year grad courses and concentrate on mastering them. They will span the branches of mathematics.

2. From this, you should find out what direction your talents lie in. Are you an algebraist? an analyst? Does topology float your boat? Talk to your peers and the older grad students. Look for a niche you can not only fill, but enjoy filling.

3. Based on this, seek out an advisor. He/She must be an active researcher in your chosen field, and ready to help you.

4. What happens next depends on the advisor. Some of them will give a lot of help, others feel honor bound to let you sink or swim on your own. Attend seminars, even try to present at seminars, build up your expertise in your chosen niche. After a while it should become natural.

5. Sort of naturally out of this activity you should come up with a problem to solve for your thesis. Some advisors will suggest or even assign a problem. In any case your advisor should approve your problem.

6. Start proving results in and around your problem. Part of your conception of it will be an idea of how to go about proving it and of what it will accomplish when proved. Work things out as best you can and approach your advisor if you get stuck.

7. It should take about a year, then you do the orals and the committee shakes your hand. Congratulations new doctor!

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I think he was asking what mathematicians do, or what advanced math is like.

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It appears on the other hand that e(ho0n3 was too busy looking at the trees to notice the forest.

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matt grime

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Gokul43201

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And along came Rivest, Adleman and Shamir...

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I don't like computations either (which makes me wonder why I'm studying computer science, but anywho...).fourier jr said:

In the end, this all comes down to a question of values. I like maths. a lot since it makes me think constructively (although I get headaches sometimes).Icarus said:I suppose it depends on what you see. I, like fourier jr I suspect, see mathematics as a means of exploring new worlds of thought. Those definitions and lemmas were not dry facts of no worth outside of themselves, but rather clues to the solving of old mysteries, and the uncovering of new ones.

Interesting...It appears on the other hand that e(ho0n3 was too busy looking at the trees to notice the forest.

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Interesting you should give all examples of applied math. Perhaps these branches of math did at one time start off as what we would call "pure" math, but it was the necessity of their physical application in the real world that gives them purpose. It wasn't the mathematics that inspired the application, it was vice versa, which is the way it should be. To say that string theory and quantum computing wouldn't exist without the study of pure math is like saying the hubble telescope wouldn't be created without the invention of the wrench. If we have the ability to ponder the enormously complex concept of the hubble telescope, we sure as hell have the ability to develop such a relatively simple tool as a wrench.

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matt grime

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If no one had studied category theory, topology and come up with homotopy theory, then the idea of n-categories wouldn't exist and they are fashionable right now.

If people didn't know about Hecke algebras and Serre correspondence then there are lots of results in mathematical physics that wouldn't be understood.

Fermions are *just* tracial elements in a matrix tensor algebra... good job people studied those as absract objects without needing to find uses for them before hand.

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I haven't heard that, but it sounds possible. Hardy used to brag that he hadn't done anything "useful" in his entire life. :rofl:Gokul43201 said:Did Hardy not express relief that the "uselessness" of pure-math (or number theory ?) is what will keep it safe from the touch of the common man ?

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SA: How do you know what to prove for your PhD? Hasn't anything that you're ready to prove already been proven?

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Wrong place for this post. Anyway, it's spelled 'standard deviation'. Google it.seeking knowledge said:

Also : http://mathworld.wolfram.com/StandardDeviation.html should help.

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ohStonedPanda said:Fourier, selfadjoint was doing pretty much what I was asking.

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