ETH - EducETH - On the nth doorkeeper of the pleasure garden in Fibonacci’s Liber Abbaci — Proof techniques in Discrete Mathematics on a generalization of a problem possibly from 1202

This paper illustrates the need and sometimes beauty of an appropriate access
to first of all find a formula and then later on to prove the statement — on a
problem from one of our classics: Leonardo Pisano’s Book of Calculation.
We realize that the insightful counting tool recurrence relation from Discrete
Mathematics helps us to identify a formula — which might guide us in selecting
a sensible order of presenting the various topics in school or university teaching.

Download

On the nth doorkeeper of the pleasure garden in Fibonacci’s Liber Abbaci — Proof techniques in Discrete Mathematics on a generalization of a problem possibly from 1202 (PDF, 142 kB)

Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information