EV/outline.02.txt by rha
outline for the trade book combining all in one book
rev 01 cr 04 dec 1996
rev 02 of 03 jan 1997
additions 20 feb 1997
INTRO
-- oliver sachs: is there a computer in the sky?
-- rupert sheldrake: is there a math field we are making?
PART 1 ROOTS
1.0: prehist-- 15,000BC, blanchard bone, ishack bone, venus of lespugue
2,000BC, Stonehenge, carved balls
1.1: india-- altars, p-triples
1.2: babylonia-- p-triples
1.3: egypt-- 2,450BC, Giza layout, Cheops dimensions, pi, phi
1.4: early greek--
500BC, Thales, Pythagoras, the Pythagoreans
400BC-- plato, academe, early elements, lykeion,
300BC-- euclid, museion (end with writing of elements)
1.5: MONUMENTS (NEW 20 feb 97)
longbarrow, from caves to cathedrals
great pyramid, solomons temple, chartres
PART 2 EUCLID'S VOYAGE EAST
2.0: map and chronograph
2.1: alexandria and athens(theon, hypatia, proclus)
2.2: byzantium (platonic academy, university, leo)
2.3: ptolemy's voyage (india, persia)
3.4: baghdad-- bait al hikam, 800AD
PART 3 EUCLID'S VOYAGE WEST
3.0: map, chronograph
3.1: cordoba
3.2: palermo
3.3: translations, renaissance
3.4: commentaries (midrash from proclus to heath)
PART 4 THREADS
4.0: thread idea, origin dates of threads, histomap
4.1: geometric algebra thread (none to geometry, but royal road to algebra)
4.2: silver and golden threads (sacred geometry)
4.3: parallel thread (from euclid to non-euclidean geometry, chaos theory,
catastrophe theory, fractal geometry)
4.4: logic thread (thales, euclid, aristotle's isogoge, liar's paradox,
godel, chaos logic of grim/mar)
CONCLUSION
-- compare irrationals of pythagoras and chaos of poincare
APPENDICES
A1: math education and geometry
A2: philosophy and geometry (with paul lee)
end: outline.02