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# Whats your favourite mathematrical theorem?

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Why bother with a post grad? Are they even worth it? Have your say! 26-10-2016
1. The volume of the n-dimensional ball (or n-ball), is given by:

where is its radius and is the gamma function. Any even-dimensional ball has volume:

and, summing up all the unit-ball (R=1) volumes of even-dimension gives:

(Taken from Wikipedia). This is just awesome.
2. That every continuous function on a closed interval is bounded.

JOKING, I don't believe real numbers exist lol
3. Euler's identity - it's simultaneous simplicity and yet underlying complexity is something to behold.
4. (Original post by BioChemWizard)
Euler's identity - it's simultaneous simplicity and yet underlying complexity is something to behold.
Too mainstream.
Spoiler:
Show
lol jk
5. A = π × r2

all dem GCSE circle questions
6. Pythagoras' theorem.
7. The Binomial Theorem
8. (Original post by IrrationalRoot)
Too mainstream.
Spoiler:
Show
lol jk
Okay, okay okay...

Pythagoras.
9. Sylow's theorem.
10. (Original post by serah.exe)
The Binomial Theorem
I was considering that one too it blows my mind... And for negative exponents and rational and real exponents... It's a real peice of art... Love it
11. The result of Black-Scholes is really nice*
12. (Original post by EricPiphany)
I was considering that one too it blows my mind... And for negative exponents and rational and real exponents... It's a real peice of art... Love it
Great minds think alike.
And agreed.
13. Marden's Theorem:

Suppose the zeroes and of a cubic are non-collinear. There is a unique ellipse inscribed in the triangle with vertices and tangent to the sides at their midpoint. The foci of that ellipse are the zeroes of the derivative .
14. Its not even a theorem but i bloody love the quadratic equation, i remember being so bloody proud knowing it off by heart.
15. (Original post by retro_turtles)
Its not even a theorem but i bloody love the quadratic equation, i remember being so bloody proud knowing it off by heart.
Lol it is a theorem though
Like c squared = a squared + b squared
Here's my favourite
Spoiler:
Show
You + me = forever
16. Fermat's last theorem.
17. (Original post by LonelyMathsBoy)
Lol it is a theorem though
Like c squared = a squared + b squared
Here's my favourite
Spoiler:
Show
You + me = forever
It is? huh well good thing i didn't pick maths at A level
Spoiler:
Show
smooth
18. The Picard–Lindelöf theorem
19. e^ipi + 1 = 0

Euler's identity

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20. (Original post by BioChemWizard)
Euler's identity - it's simultaneous simplicity and yet underlying complexity is something to behold.

Same. I love the eloquent manner in which you expressed this!

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Updated: September 11, 2016
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