I’ve been reading the book, An Imaginary Tale: The Story of i [the square root of minus one] by Paul J. Nahin and it’s really interesting! I’m almost to chapter 4 and so far it’s been introducing some nifty ideas about complex numbers. Among the content, we find a very convenient way of calculating the value of a complex number when multiplied by itself an integer amount of times. That is, . This is De Moivre’s Formula.
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In my last post, A REALLY Brief Intro to Complex Numbers, I talked about a few necessary definitions to know what Complex numbers are. Complex numbers are really intriguing and necessary for our electronic devices to work. You might be reading this on a computer, smartphone, tablet, etc., but none of the advances in technology would be possible without use of complex numbers. Creating wonders from wonders.
Imaginary numbers and complex numbers interest me a lot. Aside from the properties of infinity (), complex numbers are, well… complex! They’re very strange and yet they open a whole new world of numbers beyond the Real numbers .