Later many authors have been going on to study and use the AGM algorithms, see, for example, the book Pi and the AGM by Jonathan and Peter Borwein.
He has received various awards including the Chauvenet Prize (1993), Fellowship in the Royal Society of Canada (1994), Fellowship in the American Association for the Advancement of Science (2002), an honorary degree from Limoges (1999), and foreign membership in the Bulgarian Academy of Sciences (2003).
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Noted for his prolific and creative work throughout the international mathematical community, he is a close associate of David H. Bailey, and they have recently been prominent public advocates of Experimental mathematics.
Jonathan Borwein, David H. Bailey, and Roland Girgensohn, Experimentation in Mathematics—Computational Paths to Discovery.
Jonathan Swift | Jonathan Ross | Goodluck Jonathan | Jonathan Demme | Jonathan Lethem | Jonathan | Jonathan Richman | Jonathan Coulton | Jonathan Safran Foer | Jonathan King | Jonathan Rhys Meyers | Jonathan Zittrain | Jonathan Silverman | Jonathan Nott | Jonathan Kaplan | Jonathan Harris | Jonathan Cain | Jonathan Butler | Jonathan Borofsky | Jonathan Aitken | Jonathan Wells | Jonathan Tweet | Jonathan Pryce | Jonathan Pearce | Jonathan Dimbleby | Jonathan Blow | Jonathan Wells (intelligent design advocate) | Jonathan Pollard | Jonathan Harr | Jonathan Cape |
An unambiguous mathematical definition is given by Borwein, Borwein and Taylor by means of analytic continuation of an absolutely convergent series.
While he was there, he, his brother Jonathan Borwein and David H. Bailey of NASA wrote the 1989 paper that showed a proof for computing one billion digits of π.