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探索小數點以下十兆位的秘密
從π 的BBP 公式浪潮談起

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作        者 貝利(David H. Bailey).波宛(Jonathan M. Borwein).麥廷理(Andrew Mattingly).外特威克(Glenn Wightwick) 

作者簡介 
譯        者 林真

譯者簡介 林真是臺大數學系四年級的學生。

本文出處    Notices 60(2013)No.7, AMS。

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參考資料

1. David H. Bailey, BBP-type formulas, manuscript, 2011, available at http://davidhbailey.com/dhbpapers/bbp-formulas.pdf. A web database version is available at http://www.bbp. carma.newcastle.edu.au.

2. David H. Bailey and Jonathan M. Borwein, Ancient Indian square roots: An exercise in forensic paleomathematics, American Mathematical Monthly 119, no. 8 (Oct. 2012), 646–657.

3. David H. Bailey, Peter B. Borwein, and Simon Plouffe, On the rapid computation of various polylogarithmic constants, Mathematics of Computation 66, no. 218 (1997), 903–913.

4. David H. Bailey and David J. Broadhurst, Parallel integer relation detection: Techniques and applications, Mathematics of Computation 70, no. 236 (2000), 1719–1736.

5. J. M. Borwein and D. H. Bailey, Mathematics by Experiment: Plausible Reasoning in the 21st Century, A K Peters Ltd., 2004. Expanded Second Edition, 2008.

6. L. Berggren, J. M. Borwein, and P. B. Borwein, Pi: A Source Book, Springer-Verlag, 1997, 2000, 2004. Fourth edition in preparation, 2011.

7. Bibhutibhusan Datta, The Bakhshali mathematics, Bulletin of the Calcutta Mathematical Society 21, no. 1 (1929), 1–60.

8. Rudolf Hoernle, On the Bakhshali Manuscript, Alfred Holder, Vienna, 1887.

9. Georges Ifrah, The Universal History of Numbers: From Prehistory to the Invention of the Computer, translated by David Vellos, E. F. Harding, Sophie Wood, and Ian Monk, John Wiley and Sons, New York, 2000.

10. Alexander Yee, Large computations, 7 Mar 2011, available at http://www.numberworld.org/nagisa_runs/computations.html.

11. Alexander Yee and Shigeru Kondo, 5 trillion digits of pi—new world record, 7 Mar 2011, available at http://www.numberworld.org/misc_runs/pi-5t/details.html.