This I Know I Think
Life on the verge of understanding

## Another beautiful equation

October 16, 2018 Categories: maths. Tags: maths.

Here’s another example of a mathematical identity that is almost magical: $$\frac {\pi} {4} = 1 – \frac{1}{3} + \frac{1}{5} – \frac{1}{7} +…$$ The beauty lies in the apparent simplicity of this, along with the fundamental question of why the interminable expression on the right results in increasingly better approximations to $\pi$.