achieving the best in mathematics Watch

DoMakeSayThink
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#21
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#21
Okay, my example was rubbish, but the formula booklet is there for reference. Maybe statistical formulae would provide a better example.
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wanderer
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#22
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(Original post by FWoodhouse)
You don't like integration? Excuse me while I find you a donor brain to transplant...
Oh please. Its technical fiddly maths. Give me a nice bit of number theory or a proof by induction anyway. Can't wait for mathematical logic at uni, I hope its available in second year.
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Fusion
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#23
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(Original post by desmondmac)
i will be starting my A levels in september and would really appreciate (as im sure others would too) if some advice could be offered with respects to suceeding in studying mathematics.

by suceeding i mean A's and Bs all around ( preferablt A's):p:
First thing is to think carefully as to whether you pursue mechanics or statistics along with the pure modules. Personally I found mechanics more enjoyable and easier to get stuck into; although statistics tends to be easier it is too boring at alevel to like.
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Gaz031
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#24
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(Original post by wanderer)
Oh please. Its technical fiddly maths. Give me a nice bit of number theory or a proof by induction anyway. Can't wait for mathematical logic at uni, I hope its available in second year.
You're going to love Analysis :p:
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desmondmac
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#25
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#25
Can People Please Get Back On The Mysteriously Disappearing Track Please....."achieving The Best In Mathematics"
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FWoodhouse
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#26
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(Original post by wanderer)
Oh please. Its technical fiddly maths. Give me a nice bit of number theory or a proof by induction anyway. Can't wait for mathematical logic at uni, I hope its available in second year.
Technical fiddly maths? You, sir, have not looked at real integrals. For example, did you know that
\Huge \int_0^{\pi/2} (\ln \tan t)^n \, \mathrm{d}t = \left( \frac{\pi}{2} \right)^{n+1} |E_n|
(where En are the Euler numbers)?

Certainly, the integrals you evaluate in an average A-level exam are simple ones, but don't discount integration as a source of fascinating results and interesting methods. The integral I gave above is achieved by differentiation, Maclaurin series and the Beta and Gamma functions.
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wanderer
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#27
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(Original post by FWoodhouse)
Technical fiddly maths? You, sir, have not looked at real integrals. For example, did you know that

(where En are the Euler numbers)?

Certainly, the integrals you evaluate in an average A-level exam are simple ones, but don't discount integration as a source of fascinating results and interesting methods. The integral I gave above is achieved by differentiation, Maclaurin series and the Beta and Gamma functions.
Fair enough, I'll clarify - I don't like A level integration. There were actually some past STEP questions involving integrals with general functions in them that I loved. Unfortunately I couldn't do the one on STEP II this year.
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Rabite
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#28
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I somewhat doubt that I, as an A-level student, have seen much if any real mathematics at all, let alone integration...
xD

But I'm not sure if I'm meant to say that to people when it might matter, since it makes me look stupid. :/
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Kolya
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#29
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#29
(Original post by FWoodhouse)
Technical fiddly maths? You, sir, have not looked at real integrals. For example, did you know that
\Huge \int_0^{\pi/2} (\ln \tan t)^n \, \mathrm{d}t = \left( \frac{\pi}{2} \right)^{n+1} |E_n|
(where En are the Euler numbers)?
This result occurred to me while I was standing at the bus stop today but I considered it a trivial result as it does not include alternate Euler Numbers of finite complex K form that exist as topologically invariant.
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wanderer
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#30
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There was a nice STEP question about Euler numbers a few years ago as well.
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