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   Author  Topic: History of complex numbers  (Read 8748 times)
Mickey1
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History of complex numbers  
« on: Feb 10th, 2011, 7:56am »
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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 »
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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 »
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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 »
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It's funny they just came up something and then much later they use it in somefields like electronics etc.
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