/sci/ - Science & Math

Analysis.
Help me please /sci/

Ive just started my first year at Oxford university studying mathematics and im really struggling to get my head around analysis. we are studying in particular sequences and series.

has anyone got any tips on the topic?

>pic is what its like when i feel i am making progress with a question and it turns out i was wrong

>>2709076
>tea

AS-level physics student here, probably easy question for you guys to answer, but here goes.

So, I've heard that E=mc^2 is not totally true, and that the full equation is E^2=m^2c^4 + p^2c^2, and that E=mc^2 is found by assuming p=0 and taking the root of each side of the equation.

But yeah, that left me thinking... are there not actually four possible equations that can be simplified to two?

E^2=m^c^4
ergo E=mc^2
or E=-mc^2
or -E=mc^2
or -E=-mc^2

(-E=-mc^2) = (E=mc^2)
and (E=-mc^2) = (-E=mc^2)

So yeah... does E not equal both mc^2 AND -mc^2. So we get negative energy. What's negative energy? Explanations please!

>>2373561
> failer
Now that's funny.