The Ubiquitous π

DOI10.2307/2690037zbMath0654.10001OpenAlexW4231699569MaRDI QIDQ3800118

Dario Castellanos

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2690037

zbMATH Keywords

complexityhistoryEuler-MacLaurin summation formulaapproximations to \(\pi \)arc tangent seriesseries involving Bernoulli numbersSums of negative powers

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Waring's problem and variants (11P05) Euler-Maclaurin formula in numerical analysis (65B15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) History of mathematics and mathematicians (01A99)

Related Items (7)

MODELLING INSURANCE DATA WITH THE PARETO ARCTAN DISTRIBUTION ⋮ The wallis formula for PI, including two new expressions involving irrationals ⋮ Circular Reasoning: Who First Proved That C Divided by d Is a Constant? ⋮ Birth, growth and computation of pi to ten trillion digits ⋮ Some continued fractions for \(\pi\) and \(G\) ⋮ Special values of the Riemann zeta function via arcsine random variables ⋮ A new form of the Machin-like formula for pi by iteration with increasing integers

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