[jawfin]

http://en.wikipedia.org/wiki/1_%E2%88%9 ... %B7_%C2%B7
Only for the extremely serious math student!
(btw, i <3 Euler [pronounced oiler] )

[Phreedom]

I've seen this b4 in my Geom Class!! :O

[Akimoto]

I wish I could learn this.

[Seraphim]

i dont find this logical =|.... i read the explanation, but... i dont know, i just didnt get it & i dont find it logical. i assume that were limitin to infinity, right??

[jawfin]

Its calculus - I guess it would make more sense if you are familiar with that branch of mathematics. Calculus is the basic foundation of all pure math, and is a must for any engineer etc. Starts with derivatives and integrals, with infinite series and such like. The proof in the original post is from a subset of infinitesimal calculus of which Euler specialized in. He founded some amazing proofs, but among most outstanding one has to be this most simple looking: -

or in words
e (the natural log) raised to the power of i (the imaginary number being the square root of negative 1) times pi (¶ the ratio of the circumference of a circle over the diameter) equals negative 1!
http://en.wikipedia.org/wiki/Euler's_identity

[Necros]

I understand his identity better than I understood the infinite series, but I understand bits and pieces of the infinite series

Guess that's why I'm still sitting in Pre-Calculus

[Seraphim]

i took APCalc last year & passed it.... but i never saw this sum of intergers. i did go over deravitives & integrals tho, i thought it was pretty nifty. thanks for the inside info i guess ill just have to wait to take Calc in college. to be honest i can get it, but i just need a different type of explanation.... ive tried several times to see math stuff over the internet & i just fail at it, but if i have someone explains it the story goes a different way lol. i dont know, i guess im mostly an audio learner. & like Necros said, the (e^(i7/22))+1=0 is much more simple than the other one. i assume cuz its just a short equation with a small explanation, i mean pretty straight forward. & for some reason i still think that this identity is bein limited to infinity