My favourite theorem is by the mysterious Indian mathematician Ramanujan. He came up with the following infinite series for pi:

$ \frac{1}{\pi} = \frac{2\sqrt{2}}{9801} \sum^\infty_{k=0} \frac{(4k)!(1103+26390k)}{(k!)^4 396^{4k}}. $
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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett