Math Scholar

We are happy to announce the publication of “From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein”, a compilation of research papers devoted to the memory of Jonathan Borwein. The book is the proceedings of a conference held in Borwein’s honor in September 2017 at Newcastle, Australia, near where Prof. Borwein taught for several years before passing away in August 2016.

The volume has been published by Springer, and is available for purchase from the Springer website, or from Amazon.com.

The individual papers are authored by many of Jonathan Borwein’s colleagues and collaborators. Here

Continue reading “From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein”

I have prepared a new paper containing a catalogue of 72 summation formulas, integral formulas and iterative algorithms for Pi. The catalogue contains both classical and modern formulas, ranging from Archimedes’ 2200-year-old algorithm to intriguing formulas found by Ramanujan and the quadratic, cubic, quartic and nonic algorithms of Jonathan Borwein and Peter Borwein, the latter of which double, triple, quadruple and nine-times, respectively, the number of correct digits with each iteration.

The catalogue of formulas and iterative algorithm is followed by results of carefully designed computer implementations, which enable one to compare the relative speed of these formulas.

Continue reading PiDay 2020: A catalogue of formulas involving pi, with analysis