Concepedia

Recent calculations of π : the Gauss-Salamin algorithm

Nick Lord

The Mathematical Gazette · 1992 · 14 citations · 5 references

DOI

Concepts

Abstract

Recent years have seen a marked increase in the tempo of the hunt for digits of the decimal expansion of π as shown in the table below.

References

5

A COURSE IN MODERN ANALYSIS.

Arthur S. Hathaway · Journal of the American Chemical Society · 1903 · 1.1K citations

, , +5

Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary

Gert Almkvist, Bruce C. Berndt · American Mathematical Monthly · 1988 · 104 citations

, , +5

The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions

Jonathan M. Borwein, Peter Borwein · SIAM Review · 1984 · 87 citations

, , +7

The Ubiquitous π

Darío Castellanos · Mathematics Magazine · 1988 · 57 citations

, , +4

Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi

Jonathan M. Borwein, Peter Borwein, David H. Bailey · American Mathematical Monthly · 1989 · 45 citations

, , +15