Math Is Fun Forum

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?

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A logarithm is just a misspelled algorithm.

mikau

Member

Registered: 2005-08-22

Posts: 1,504

Re: pi: the phantom of mathematics

??? e as in the natural logarithm?

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A logarithm is just a misspelled algorithm.

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 48,423

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

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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