An analysis of errors in mathematical tables

DOI10.1016/j.hm.2014.12.003zbMath1326.01011OpenAlexW1973920158MaRDI QIDQ492785

David R. Bellhouse

Publication date: 21 August 2015

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.hm.2014.12.003

zbMATH Keywords

round-off errorPoisson distributionresidual analysisapproximation errorCopernicuscalculation errorGalileiNapierRecordeStevintable parameter estimationtypographical error

Mathematics Subject Classification ID

Roundoff error (65G50) Computation of special functions and constants, construction of tables (65D20) History of numerical analysis (65-03) Tables in numerical analysis (65A05) Values of arithmetic functions; tables (11Y70)

Uses Software

• R

Cites Work

• A survey of the Almagest. Edited by Alexander Jones, with annotation and a new commentary
• Napier revisited or A new look at the computation of his logarithms
• A Statistical Method for Recovering Unknown Parameters from Medieval Astronomical Tables
• Measures of Lack of Fit for Response Surface Designs and Predictor Variable Transformations
• Science and Statistics
• On Ptolemy's Table for the Equation of Time
• Determining the Interdependence of Historical Astronomical Tables
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