Extension: Wallace's Product (1 Viewer)

[shafqat]

ok uni restarts tomorrow so i'll be off for abt 8 weeks
so here's something interesting (note: this is quite tricky, so only capable students should attempt to follow)

oh and yes, this is by Dr Pender

 

[KFunk]

Thanks for that, it's quite interesting.

 

[Slidey]

It's definitely extracurricular - squeeze, convergence, et cetera.

That said, thank you muchly! It's great stuff.

 

[tigerchenyanhu]

This is .......................

i would not say it is intersting
i think it is extremely technical. Especially the way he deals with those sequences at the last page..

 

[Slidey]

The technicality of it is what makes it interesting: working from basic 4U results into something so natural - pi. I'm beginning to appreciate just how interconnected mathematics is.

Hmm. Goodnight. Robocop 2 is over.

 

[Dumsum]

Wow, that's cool.

But as it said, it's not a good way to calculate pi because even after 100,000 iterations it falls apart after only 5dp, so is there a use for it? Or is it just to look cool?

 

[Slidey]

It shows the interconnectedness of mathematics... and besides, people didn't solve Fermat's last theorem because it'd be useful - but they recognised that entire new branches of mathematics, or ways of dealing with problems might open up along the way.