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While I enjoyed the history part towards the end it got super hand wavy; especially as it went from describing "i" as a rotation to e^ix; Better Explained does
by vishnugupta 5y ago
While I enjoyed the history part towards the end it got super hand wavy; especially as it went from describing "i" as a rotation to e^ix; Better Explained does a fantastic job of explaining these from the first principles.
https://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/ https://betterexplained.com/articles/a-visual-intuitive-guid...
https://betterexplained.com/articles/intuitive-understanding-of-eulers-formula/ https://betterexplained.com/articles/intuitive-understanding...
- wyager 5y agoMacdonald's Linear and Geometric Algebra is an excellent GA text which not only geometrically derives complex numbers (and rotation via their exponentiation), but also quaternions.