Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

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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

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

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

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

ganesh
Moderator
Registered: 2005-06-28
Posts: 21,812

### 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

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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