The Three Ages of Pi
The Age of Archimedean Polygons
Archimedes'
proof
that
Pi
is the area of a unit circle
-- and his method as a
modern iteration
.
The Age of
Newtonian
Calculus
Newton in Maple
from Gregory, Leibniz and
Machin
-- to Shanks and ENIAC.
ENIAC
, developed during the war, computed
Pi
(Euler's 1737 notation) to
2037
places in 1949.
The Age of Elliptic Functions
and the
Arithmetic Geometric
Mean Iteration
of Gauss and Legendre.
Ramanujan in Maple
and Related Record Setting
Quartic Algorithm
in Maple
The Stamp honouring the
75th Anniversary of Ramanujan's
birth - mailed to my father.
SFU/CECM/~jborwein/. Last revised 25/10/99 JMB