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| Topic | No way. Why didn't they teach us this in any math class? |
| Romes187 02/02/20 11:04:00 AM #28: | ZeldaMutant posted... Eh, it's more that i is defined as i^2 = -1 and then all the complex plane polar coordinate stuff arises from that definition. what I mean is the physical-ness of the property is never explained to young children Anteaterking posted... I mean...that's the reason the complex plane is set up that way. It's not some hidden property of i. the reason imaginary numbers (a dumb name) were discovered was to find roots to equations like x^2+1=0 which leads to the fundamental theorem of algebra The fact that its a rotation is indeed hidden in a sense. Also of note is in polar coordinates the multiplicative group action on C is converted to an additive action (you add the angles when multiplying the complex numbers) which has a nice relation to logarithms math is awesome ... Copied to Clipboard! |
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