Wolfram Demonstrations Project

This Demonstration gives a Gauss–Legendre approximation of

. With the initial values

and using the recurrence relations

we can approximate

This converges very quickly as you can see by increasing

Embed Interactive Demonstration New!

RELATED RESOURCES

Mathematica » The #1 tool for creating Demonstrations and anything technical.	Wolfram\|Alpha » Explore anything with the first computational knowledge engine.	MathWorld » The web's most extensive mathematics resource.	Course Assistant Apps » An app for every course— right in the palm of your hand.
Wolfram Blog » Read our views on math, science, and technology.	Computable Document Format » The format that makes Demonstrations (and any information) easy to share and interact with.	STEM Initiative » Programs & resources for educators, schools & students.	Computerbasedmath.org » Join the initiative for modernizing math education.

Gauss-Legendre Approximation of Pi