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#1 2005-09-24 16:30:27

mikau
Member
Registered: 2005-08-22
Posts: 1,504

pi: the phantom of mathematics

I saw on numb3rs yesterday that the irrational number "pi" is found in other area's of math, totally unrelated to circles. Is this true? And where else does pi appear?


A logarithm is just a misspelled algorithm.

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#2 2005-09-25 00:50:21

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

Re: pi: the phantom of mathematics

here:


e  + 1 = 0


smile

Last edited by kylekatarn (2005-09-25 08:09:51)

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#3 2005-09-25 07:01:46

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: pi: the phantom of mathematics

??? e as in the natural logarithm?


A logarithm is just a misspelled algorithm.

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#4 2005-09-25 08:09:17

kylekatarn
Member
Registered: 2005-07-24
Posts: 445

Re: pi: the phantom of mathematics

yes
e^(i*pi)+1=0

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#5 2005-09-26 16:01:36

ganesh
Moderator
Registered: 2005-06-28
Posts: 15,216

Re: pi: the phantom of mathematics

Euler's equation!
This is because
(Cosθ + iSinθ)^n = Cos(nθ) + iSin(nθ)...DeMoivre's equation
and Cosθ + iSinθ=e^(iθ)
When θ=Pi (radians)
e^(i*pi) = Cos(pi) + iSin(pi)
We known Cos(pi)=-1 and Sin(pi)=0,
Therefore,
e^(i*pi)=-1
or
e^(i*pi) + 1 = 0


Character is who you are when no one is looking.

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