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Proof of Eulers formula
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As we know Euler’s fomula is very ubiquitous in mathematics, physics, and engineering. The fomula is as follows:
[e^{i\theta}=\cos(\theta)+i\sin(\theta)]
I never though how to prove this formula until seeing a simple proof with an interesting story behind in the book “Linear Algebra and Its Applications”, Gilbert Strang. One day there was a letter came to MIT from a prisoner in New York, asking if Euler’s fomula was true? It is really astonishing. Three key functions of mathematics come together in such a graceful way.
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