You are currently browsing the tag archive for the ‘leibniz series’ tag.

In college, we often learn of many infinite series that give the value of pi including one called the Leibniz series, named after Gottfried Leibniz. It is also called the Gregory–Leibniz series, recognizing the work of James Gregory. This unnecessarily attributes the discovery to the west, however, the formula was first discovered in India by Madhava of Sangamagrama and so is also called the Madhava–Leibniz series. Indian mathematicians made vast and fundamental contributions to our modern mathematics.

\pi=4\sum_{k=0}^{\infty}\frac{(-1)^{k}}{2k+1}

Advertisements

Enter your email address to follow this blog and receive notifications of new posts by email.

Advertisements