Complexity Issues And Computational Phenomena
These concern the
theoretical behaviour of analytic algorithms and the exhibition of
unusual related computational phenomena.
Mathematical Constants: Computing pi and related matters
- Complexity of Analytic Computations
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J.M. Borwein and P.B. Borwein, "On the complexity of familiar functions and numbers," SIAM Review, 30(1988),589-601.
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J.M. Borwein and P.B. Borwein,"Ramanujan and Pi," Scientific American, February, 1988,112-117.
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J.M. Borwein and P.B. Borwein, "Pi and the AGM: Topics in Analytic Number Theory and Computational Complexity", ( Wiley,
New York, 1987).
- Interesting and Unusual Computational Phenomena
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J.M. Borwein and P.B. Borwein, "Strange series evaluations and high precision fraud," MAA Monthly, 99(1992),622-640.
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J.M. Borwein and P.B. Borwein, "Some observations on computer assisted analysis," Notices Amer. Math. Soc, 39(1992),825-829.
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J.M. Borwein and P.B. Borwein, and K. Dilcher, "Euler numbers, asymptotic expansions and pi," MAA Monthly, 96(1989),681-687.