Nilakantha's accelerated series for π

2015/01/01 by D.M. Brink · 3 citations
Mathematics · Physics and Astronomy · #History and Theory of Mathematics #Advanced Mathematical Identities #Historical Astronomy and Related Studies #Astronomer #Series (stratigraphy) #Mathematics #Acceleration #Calculus (dental) #Algebra over a field #Pure mathematics #Art history #Classical mechanics #Physics #History

paper · pdf · doi:10.4064/aa171-4-1

published in Acta Arithmetica 171(4), 293-308 (Polish Academy of Sciences)

openalex publication_date 2015/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06

Abstract

We show how the idea behind a formula for π discovered by the Indian mathematician and astronomer Nilakantha (1445--1545) can be developed into a general series acceleration technique which, when applied to the Gregory--Leibniz series, gives the form

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