by Shalosh B. Ekhad, XIV, downloaded from the Future by Doron Zeilberger
(Appeared in Mathematical Intelligencer 21(3) [Summer 1999], 64-70.)
First Placed Here: May 12, 1998.
Last Update: Sept. 15, 1998.
IMPORTANT NOTE ADDED Nov. 1, 2001: This modest effort is now a whole webbook, complete with pictures. Enjoy Shalosh B. Ekhad's, XIV, ILLUSTRATED WEBBOOK
About 350 years ago, Rene Descartes made a revolution in Geometry. But it took 400 years, and computers and Bruno Buchberger, to fully utilize it.
In addition to its geometrical interest, this textbook gives a glimpse of how math articles and books would look like in fifty years (and perhaps much sooner!). Maple (or some variant of it) will become the lingua-franca of math, and this will improve communications between humans and machines, and even between humans and other humans.
Update added 9/15/98: Both RENE and Gtext now work perfectly
on Maple V, ver. 3, ver.4, and ver. 5. If you
run
Input file for Gtext,with all the theorems, and times recorded,
on the above versions, you would get, respectively
Output of Gtext from Maple V,ver.3,
Output of Gtext from Maple V, ver.4,
Output of Gtext from Maple V, ver.5 .