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wu :: forums    general    complex analysis (Moderators: ThudnBlunder, towr, william wu, Eigenray, Icarus, Grimbal, SMQ)    History of complex numbers « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: History of complex numbers  (Read 9003 times) Mickey1 Junior Member     Gender: Posts: 116 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? IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 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. IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Mickey1 Junior Member     Gender: Posts: 116 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.   IP Logged fizyka Junior Member Physics&Informa tics <3     Gender: Posts: 54 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. IP Logged fizyka , karta wzorów fizyka , książki z fizyki Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth => complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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