Speaker
Prof.
Gerhard Wanner
(University of Geneva)
Description
We explain nice connections between
$\bullet$ a recently discovered work by Jost Bürgi (1584) on the oldest iteration method;
$\bullet$ a somehow forgotten work of Joh. Bernoulli (1742) on iterated involutes;
$\bullet$ a somehow forgotten work of Désiré André (1879) on alternating permutations
and their elegant treatment by R.C. Entringer (1966) as well as their generalizations
(the Seidel-Entringer-Arnol'd triangle and the Boustrophedon Theorem).
We meet the Sinus function, the Euler-Bernoulli numbers and the series for $\tan x$ and $\sec x$ several times.
Co-author
Prof.
Ph. Henry
