Category Archives: complex numbers

Happy Birthday, Benoit Mandelbrot

Today’s Google doodle honors mathematician Benoit Mandelbrot. He would have been 96 today. If you’re interested in learning more about his life and work, the Google doodle link contains a short summary. If you want to go deeper, you can … Continue reading

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A Simple Proof of Euler’s Formula

Euler’s formula (well, one of Euler’s formulas) states that  The proof I am most familiar with is based on the Maclaurin series for , and . I ran across a different, simpler proof recently on Math Stack Exchange, posted by … Continue reading

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Binomial Coefficient Identities via Complex Numbers

Binomial coefficient identities are normally proved by combinatorial arguments, by manipulation of other known binomial coefficient identities, by generating functions, or even sometimes by finding the right integral representation.  This post is going to look at a couple of binomial … Continue reading

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