Section 4.4 Permutations and Combinations
287
Combinatorics had been considered a modern
branch of mathematics, of much interest in computer science but supposedly unknown to the ancient
Greeks. Archimedes’ Palimpsest (a “palimpsest” is a
written-over manuscript) gives combinatorics a much
earlier foundation.
“Archimedes,” Encyclopedia Britannica,
http://www. britannica.com/EBchecked/topic/32808/
Archimedes
“In Archimedes’ Puzzle, a New Eureka Moment,” The New
York Times, December 14, 2003,
http://www.nytimes.com/2003/12/14/us/inarchimedes-puzzle-a-new-eureka-moment.
html?pagewanted=all&src=pm
Reading Between the Lines, Smithsonian.com,
http://www.smithsonianmag.com/science-nature/
archimedes.html?c=y&page=1
Stomachion construction,
http://www.math.nyu.edu/~crorres/Archimedes/
Stomachion/construction.html
A Tour of Archimedes’ Stomachion, Chung, F., and
Graham, R.,
http://www.math.ucsd.edu/~fan/stomach/
287
Combinatorics had been considered a modern
branch of mathematics, of much interest in computer science but supposedly unknown to the ancient
Greeks. Archimedes’ Palimpsest (a “palimpsest” is a
written-over manuscript) gives combinatorics a much
earlier foundation.
“Archimedes,” Encyclopedia Britannica,
http://www. britannica.com/EBchecked/topic/32808/
Archimedes
“In Archimedes’ Puzzle, a New Eureka Moment,” The New
York Times, December 14, 2003,
http://www.nytimes.com/2003/12/14/us/inarchimedes-puzzle-a-new-eureka-moment.
html?pagewanted=all&src=pm
Reading Between the Lines, Smithsonian.com,
http://www.smithsonianmag.com/science-nature/
archimedes.html?c=y&page=1
Stomachion construction,
http://www.math.nyu.edu/~crorres/Archimedes/
Stomachion/construction.html
A Tour of Archimedes’ Stomachion, Chung, F., and
Graham, R.,
http://www.math.ucsd.edu/~fan/stomach/