The quest for Pi

Mathematical Intelligencer

Volumn 19, Issue 1, 1997, Pages 50-56

  Bailey, David H ^a   Borwein, Jonathan M ^b   Borwein, Peter B ^b   Plouffe, Simon M ^b  

^a NASA AMES RESEARCH CENTER   (United States)

^b SIMON FRASER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039646466     PISSN: 03436993     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf03024340     Document Type: Article

References (19)

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2. D. H. Bailey, P. B. Borwein, and S. Plouffe, On the rapid computation of various polylogarithmic constants, (to appear in Mathematics of Computation). Available from http://www.cecm.sfu/personal/pborwein/.
3. P. Beckmann, A History of Pi, New York: St. Martin's Press (1971).
4. L. Berggren, J. M. Borwein, and P. B. Borwein, A Sourcebook on Pi, New York: Springer-Verlag (to appear).
5. J. M. Borwein and P. B. Borwein, Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity, New York: Wiley (1987).
6. J. M. Borwein and P. B. Borwein, Ramanujan and pi, Scientific American (February 1987), 112-117.
7. J. M. Borwein, P. B. Borwein, and D. H. Bailey, Ramanujan, modular equations, and approximations to pi, or how to compute one billion digits of pi, American Mathematical Monthly 96 (1989), 201-219. Also available from the URL http://www.cecm.sfu.ca/personal/ pborwein/.
8. R. P. Brent, Fast multiple-precision evaluation of elementary functions, Journal of the ACM 23 (1976), 242-251.
9. D. Chudnovsky and C. Chudnovsky, personal communication (1995).
10. H. R. P. Ferguson and D. H. Bailey, Analysis of PSLQ, an integer relation algorithm, unpublished, 1996.
11. T. L. Heath (trans.), The works of Archimedes, in Great Books of the Western World (Robert M. Hutchins, ed.), Encyclopedia Britannica (1952), Vol. 1, pp. 447-451.
12. Y. Kanada, personal communication (1996). See also Kanada's book (in Japanese), Story of Pi, Tokyo: Tokyo-Toshyo Co. Ltd. (1991).
13. Y. Kanada, personal communication (1996). See also Kanada's book (in Japanese), Story of Pi, Tokyo: Tokyo-Toshyo Co. Ltd. (1991).
14. D. E. Knuth, The Art of Computer Programming, Reading, MA: Addison-Wesley, (1981), Vol. 2.
15. R. Preston, The mountains of pi, The New Yorker, 2 March 1992, 36-67.
16. S. D. Rabinowitz and S. Wagon, A spigot algorithm for pi, American Mathematical Monthly 103 (1995), 195-203.
17. E. Salamin, Computation of pi using arithmetic-geometric mean, Mathematics of Computation 30 (1976), 565-570.
18. D. Shanks and J. W. Wrench, Calculation of pi to 100,000 decimals, Mathematics of Computation 16 (1962), 76-79.
19. S. Wagon, Is π normal? Mathematical Intelligencer 7 (1985), no. 3, 65-67.