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Pi Formulas

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Introduction to Mathematica® with Applications

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Abstract

Chapter 8 is focused on the famous number π. The topics covered here are Vandermonde identity, sums connected to polygon numbers, Machbin and Machbin-like formulas, Gregory and Leibniz formula, Vardi formula, Abraham Sharp formula, not so simple series connected to π, Newton’s geometric construction, Euler series, π by arcsin, π by the golden ration, π by integrals (Dantzell formula, Lucas formula, and Blackhouse–Lucas formula), BBP and Adamchik–Wagon formulas, π formulas by binomial sums, Ramanujan series, Chudnovskys’, series, Cloitre series, and Bellard series.

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  1. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania

    Marian Mureşan

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Mureşan, M. (2017). Pi Formulas. In: Introduction to Mathematica® with Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-52003-2_8

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  • DOI: https://doi.org/10.1007/978-3-319-52003-2_8

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