On a new type of rational and highly convergent series, by which the ratio of the circumference to the diameter is able to be expressed
Leonhard Euler
math.HOarXiv:math/0508170
Abstract
In this short paper Euler gives a highly convergent series for arctan and thus pi, which converges much faster than the Leibniz series for arctan.
Create a lesson
Related papers
It is time for a New Deal for mathematics
Nestor Guillen
Around the Clock. New Twists on Fitch Cheney's Five-Card Trick
Doron Levy, Yaakov Malinovsky
Two teams that cancel: a didactic analysis of a teaching progression for signed numbers from Grade 5 to Grade 7
Vincent Tariel-Adam
Letter to a Young Black Mathematician: History, Storytelling, and Belonging in Mathematics
Ranthony A. Clark
Early career researcher responses to AI in math
Anna Brandenberger, Hanna Mularczyk, Dora Woodruff
A Diophantine generalization of Fourier's irrationality trick
Archan Chattopadhyay, Chandan Chattopadhyay