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