Uni Stuff > Mathematics
Real Analysis
TrueTears:
Oh, it's fun as stuff, omg you will love it when you get to it !!
it's kinda like epsilon - delta proofs, i love it!!
but if you are not up to it, do u know WHY e^x can be expanded like that? I think that is important to know, maybe you can try prove it :P
QuantumJG:
--- Quote from: TrueTears on March 01, 2010, 09:15:06 pm ---Oh, it's fun as stuff, omg you will love it when you get to it !!
it's kinda like epsilon - delta proofs, i love it!!
but if you are not up to it, do u know WHY e^x can be expanded like that? I think that is important to know, maybe you can try prove it :P
--- End quote ---
Our professor didn't discuss why, but I remember in physics our professor was saying it's from the Taylor series, is that true? Then again he didn't really explain what a Taylor series is.
TrueTears:
if f has a power series expansion: then the maclaruin series is just a special case of it: namely, centered at 0. (a = 0)
but that's not the slick part, the coolest part is the relationship between the coefficients of the power series f(x) and the derivatives of f(x), thats the part i love the most!!
humph:
Wait until you get to Laurent series in complex analysis and its relation to residues and contour integrals. That's pretty cool ;)
/0:
--- Quote from: QuantumJG on March 01, 2010, 08:12:06 pm ---Ok is it ?
--- End quote ---
Isn't it just a matter of definition?
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