← Back to Mathematicians

Abraham de Moivre

The life of Abraham de Moivre - Calculated His Own Death.


De Moivre's Formula

A fundamental bridge between complex numbers and trigonometry.

\[ (\cos x + i\sin x)^n = \cos(nx) + i\sin(nx) \]

Normal Approximation to Binomial

De Moivre was the first to discover the normal curve as an approximation to the binomial distribution.

\[ P\left( \frac{S_n - np}{\sqrt{np(1-p)}} \le x \right) \approx \Phi(x) \]

Sources: https://mathshistory.st-andrews.ac.uk/Biographies/De_Moivre/

See Also