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

One of Ramanujan's approaches to approximating pi is considered. As understanding of Ramanujan's work increases, the mathematics involved are demystified.

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Bibliographic Details
Published in:The American mathematical monthly 1989-03, Vol.96 (3), p.201-219
Main Authors: Borwein, J. M., Borwein, P. B., Bailey, D. H.
Format: Article
Language:English
Subjects:
Algebra
Approximation
Decimals
Elliptic functions
Exact sciences and technology
Fast Fourier transformations
Integers
Mathematical functions
Mathematical theorems
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Ramanujan, Srinivasa (1887-1920)
Sciences and techniques of general use
Transcendentals
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Description
Summary:One of Ramanujan's approaches to approximating pi is considered. As understanding of Ramanujan's work increases, the mathematics involved are demystified.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.1989.11972169