What's the hardest mathematical thing you know?

Associate
Joined
8 Jun 2006
Posts
276
Sorry but a Fourier transform is pretty simple conceptually for degree level maths, it is just a change of basis (a basis which has a nice physical meaning).
 
Soldato
Joined
11 Sep 2007
Posts
5,740
Location
from the internet
Oh I have absolutely no idea. I seem to have been taught a lot of different mathematical systems this year (first year computer science undergrad! :p) but they still seem quite 'new' to me. I'll just go with the safe thing and say A-level C4 integration.
 
Soldato
Joined
7 May 2009
Posts
3,541
Location
London
Ehhh probably something from Differential Topology or Riemannian Geometry. The applications are nice and simple but getting down and dirty with fully rigorous mathematics deriving and working with it gets rather sticky..
 
Man of Honour
Joined
17 Oct 2002
Posts
29,093
Location
Ottakring, Vienna.
Sorry but a Fourier transform is pretty simple conceptually for degree level maths, it is just a change of basis (a basis which has a nice physical meaning).
It isn't if the concept and purpose of the transform is not passed on to the learner.

I know someone who is very intelligent but a poor speller - because they were never taught to structure words or that words were built from parts of component words. The methods used by that person's teacher did not engage them and therefore they came away with a poor overall understanding of the topic.

It's difficult in a classroom environment because people have all sorts of different learning styles.
 
Permabanned
Joined
9 Mar 2010
Posts
11,319
Location
Fabric Nightclub, London.
[GD]Shayper.[/GD]

I did the Differential Equations, but did Matrices last year which I think is technically FP1/2 level.

My general 'stats' knowledge vastly outweighs my maths knowledge though. DW tests, F-Tests, T-Tests, Gauss Markov Theorem's etc... A lot of Econometrics basically.

kd

Not sure I see what you're implying there old chap :p
 
Caporegime
Joined
19 May 2004
Posts
31,546
Location
Nordfriesland, Germany
The hardest maths I actually still remember well enough to cite it off the top of my head is a set of results about the mathematics of infinity (using cardinality). I have an MMath so I studied stuff harder than that but I no longer remember it.
 
Associate
Joined
12 May 2005
Posts
1,777
The series 1 + 1/2 + 1/3 + 1/4 + ... 1/n = Log(n) + Y Euler–Mascheroni constant

The series 1 + 1/4 + 1/9 ... + 1/n^2 = Pi^2 / 4

The series 1 + 1/8 + 1/27 + ... +1/N^3 = Pi^3 / 9

i ^ i = e^-Pi*K/2 for K = 1,3,5...

I wouldn't have the foggiest idea how to prove them. Euler proved 1/n^2 using trigonometry.
 
Last edited:
Soldato
Joined
15 May 2010
Posts
10,110
Location
Out of Coventry
Most difficult bit of maths I know? Well I'm currently revising Cholesky Factorisation for my exam next week, but I couldn't say what the most complicated bit of maths I know is. Probably something within the fields of complex analysis or measure theory.



As to Castiels question, have a read of this http://en.wikipedia.org/wiki/Axiom
Everything is based on the axioms of mathematics, as for the incompleteness theorem, well thats beyond my expertise. Essentially you can't have a system of axioms that prove themself, and define the natural numbers? I just assume the axioms are true :)
 
Soldato
Joined
14 Mar 2004
Posts
8,040
Location
Brit in the USA
I'm probably the worst person in the world at maths. I've actually wondered if maybe I have dyscalculia :( GCSE maths was way too hard for me - I was pretty near the bottom of the pile in my year. I think of myself as generally being above average in terms of general intelligence....maybe right on average at worst......but my brain cannot accept maths. I am numerically retarded :o
 
Soldato
Joined
20 Aug 2010
Posts
8,201
I don't think anyone should give up on a subject, just try khan academy as he is very clear about concepts.
Has almost everything up to undergrad level.
 
Soldato
Joined
7 Sep 2008
Posts
5,589
log equations
back in days we had P1, P2, and P3.

P1 and P3 were okay but P2 was hard for me so many log equations killed me
really enjoyed P3 - the integration and differentiation
 
Soldato
Joined
3 Mar 2007
Posts
4,297
Location
Glasgow
Maths is maths, from the first line of any proof - to the end. It's rather inexplicable in any other language than maths really.

I don't mean to be rude, and I'm sure you're a better mathematician than I am, but I tend to find that the people who resort to an explanation like this are the very same people who don't fully understand their work.

I may be wrong (there are obviously exceptions), but it's an observation that tends to be fairly close to the mark.

As for the hardest mathematical thing I know? Whatever I'm trying to learn at the time.
 
Last edited:
Back
Top Bottom