Exploring mathematical concepts, theories, and their real-world applications.
Nilakantha Series is similar to the Leibniz series, but converges faster:
Gauss-Legendre Algorithm This algorithm is used to calculate 𝜋 π very quickly and it works as follows:
Srinivasa Ramanujan developed formulas that give very fast convergence for the calculation of 𝜋 π.
Wallis's Formula A multiplication formula derived by John Wallis:
Euler's Infinite Series Formula In this formula, 𝜋 π is related to the sum of the squares of all positive integers.
Leibniz Series The Leibniz formula expresses 𝜋 π as an infinite series: