DATE: Wednesday, January 12 (2011), at 12:50 - 1:40pm
PLACE: LIT 339 (The Atrium)
SPEAKER: Jon Borwein (University of Newcastle)
Jonathan M. Borwein, FRSC, FAAAS, FBAS FAA
and Director CARMA, University of Newcastle
The desire to understand π, the
challenge, and originally the need, to calculate ever more accurate
values of π, the ratio of the circumference of a circle to its
diameter, has captured mathematicians --- great and less great ---
for many many centuries. And, especially recently, π has
provided compelling examples of computational mathematics.
Pi, uniquely in mathematics, is pervasive in popular culture and
the popular imagination. In this lecture I shall intersperse a
largely chronological account of π's mathematical and numerical
status with examples of its ubiquity.
The talk is lodged at
accompanying paper  is at
J.M. and P.B. Borwein, and D.A. Bailey,
equations and pi or how to compute a billion digits of pi,
MAA Monthly, 96 (1989), 201--219.
Reprinted in Organic
http://www.cecm.sfu.ca/organics, 1996, CMS/AMS Conf Proceedings,
20 (1997), ISSN: 0731-1036.
J.M. Borwein and P.B. Borwein, Ramanujan and Pi,
Scientific American, February 1988, 112--117. Also pp. 187-199
of Ramanujan: Essays and Surveys,Bruce C. Berndt and Robert A.
Rankin Eds., AMS-LMS History ofMathematics, vol. 22, 2001.
L. Berggren, J.M. Borwein and P.B. Borwein, Pi:
a Source Book, Springer-Verlag, (1997). Second Edition, (2000).
Third Edition, January 2004.
D.H. Bailey, and J.M. Borwein Mathematics by
Experiment: Plausible Reasoning in the 21st Century, AK Peters
Ltd, 2003, ISBN: 1-56881-136-5.
J.M. Borwein, Pi: from Archimedes to ENIAC and
beyond, in Mathematics and Culture, Einaudi, 2008.
Revised 2010 for Bergren Festschrift.