Pi: The Next Generation

Table of Contents

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   Book Overview
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   Chapter 1 Computation of π using arithmetic-geometric mean (1976)
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   Chapter 2 Fast multiple-precision evaluation of elementary functions (1976)
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   Chapter 3 The arithmetic-geometric mean of Gauss (1984)
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   Chapter 4 The arithmetic-geometric mean and fast computation of elementary functions (1984)
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   Chapter 5 A simplified version of the fast algorithms of Brent and Salamin (1985)
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   Chapter 6 Is pi normal? (1985)
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   Chapter 7 The computation of π to 29,360,000 decimal digits using Borweins quartically convergent algorithm (1988)
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   Chapter 8 Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, π, and the Ladies Diary (1988)
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    Chapter 9 Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation (1988)
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    Chapter 10 Ramanujan and pi (1988)
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    Chapter 11 Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi (1989)
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    Chapter 12 Pi, Euler numbers, and asymptotic expansions (1989)
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    Chapter 13 A spigot algorithm for the digits of π (1995)
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    Chapter 14 On the rapid computation of various polylogarithmic constants (1997)
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    Chapter 15 Similarities in irrationality proofs for π, ln 2, ζ(2), and ζ(3) (2001)
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    Chapter 16 Unbounded spigot algorithms for the digits of pi (2006)
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    Chapter 17 Mathematics by experiment: Plausible reasoning in the 21st Century (2008)
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    Chapter 18 Approximations to π derived from integrals with nonnegative integrands (2009)
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    Chapter 19 Ramanujan’s series for 1/π: A survey (2009)
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    Chapter 20 The computation of previously inaccessible digits of π 2 and Catalan’s constant (2013)
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    Chapter 21 Walking on real numbers (2013)
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    Chapter 22 Birth, growth and computation of pi to ten trillion digits (2013)
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    Chapter 23 Pi day is upon us again and we still do not know if pi is normal (2014)
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    Chapter 24 The Life of π (2014)
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    Chapter 25 I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly (2015)