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Mickey1
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 History of complex numbers   « on: Feb 10th, 2011, 7:56am » Quote Modify

Does anyone know how people understood
for instance

exp(ix) = cos(x)+i sin(x)  from the beginning (=in the 18 hundreds).

Was it by looking at the power series
of 1+ix+(ix)^2/2 ... , and the corresponding series for cos(x) +  i sin(x)?

or did that come later?
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towr
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 Re: History of complex numbers   « Reply #1 on: Feb 10th, 2011, 9:08am » Quote Modify

I don't really know much about it, but http://en.wikipedia.org/wiki/Complex_numbers#History treats a bit of the history of complex numbers. From what it says it seems like Euler started from the complex power series, and then found Euler's formula.
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Mickey1
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 Re: History of complex numbers   « Reply #2 on: Feb 14th, 2011, 12:15am » Quote Modify

Thank you for that.

I note the formular came up 100 years earlier than I thougth.

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fizyka
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 Re: History of complex numbers   « Reply #3 on: Dec 30th, 2011, 3:27pm » Quote Modify

It's funny they just came up something and then much later they use it in somefields like electronics etc.
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