Euler's formula describes two equivalent ways to move in a circle. Starting at the number $1$, see multiplication as a transformation that changes the number $1 \cdot e^ {i\pi}$. Regular …

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Feb 8, 2015 · Can somebody explain to me why the absolute value of a complex exponential is 1? (Or at least that's what my textbook says.) For example: $$|e^ {-2i}|=1, i=\sqrt {-1}$$

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Aug 28, 2010 · Could you provide a proof of Euler's formula: $e^{it}=\\cos t +i\\sin t$?

Complex conjugation is an automorphism of order 2, meaning $\,\overline {\overline z}=z\,\,,\,\,\forall\,z\in\Bbb C\,$ , so if the conjugate of $\,e^ {-iwt}\,$ is ...

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You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation and how do I …