The History of Mathematics: A Brief Course

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SUBJECT INDEX 591

normal distribution, 64, 519, 522-524, 529,
531
normal subgroup, 449
North America Act, 66
North Carolina Central University, 65
North China Herald, 174
Northwestern University, 76
notation, 432
notebooks, Ramanujan's, 27
nothing, 541
Nova Scotia, 68
number, 3
Avogadro, 532
Bernoulli, 194
cardinal, 187, 393, 412, 546
complex, 187, 490, 498
composite, 165
deficient, 166
Fermat, 188, 557
figurate, 167-168
golden, 157
heptagonal, 183
hexagonal, 168
ideal, 459
imaginary, 490
interpretation, 208
irrational, 199, 200, 557
negative, 187, 197, 430, 434, 490
nonagonal, 183
octagonal, 183
ordinal, 187, 210, 393, 545, 553
pentagonal, 168
perfect, 166, 168, 170, 179, 183
prime, 165, 193, 556
regular, 196
rational, 159, 187, 429, 557
real, 187
square, 168
superabundant, 166
transcendental, 203, 449
triangular, 168
number theory, 41
Pythagorean, 298
numbers
amicable, 179, 185
relatively prime, 165, 169
numerals
Hindu-Arabic, 59
numerology, 15
Niirnberg, 60


octagonal number, 183
odd number, 165, 200
Odyssey, 166
Oedipus the King, 276
otfcumene, 326
On Burning Mirrors, 318
On Exile, 275
On Isoperimetric Figures, 318


On Socrates' Daemon, 288
one-sided surface, 388
open set, 392
Optics, 45, 296
optics, 55
Archimedes on, 301
order, 361
ordering, 546
ordinal number, 4, 187, 210, 393, 545, 553
ordinate, 476
ornamental geometry, 54
orthotomi, 277
osculating circle, 374
Osiris, 123
Ottoman Empire, 50
outer product, 380
Oxford University, 101, 331
oxytome, 277
Pacific Journal of Mathematics, 458
Pakistan, 21, 25
Palermo, 384
palm reading, 15
Papal States, 82
Pappus' principle, 249
Pappus' theorem, 324, 349
Papyrus
Ahmose, 34, 156, 239, 247
Moscow, 238-240
Reisner, 34
parabola, 277, 306
quadrature, 301
tangent to, 464-465
paradox
Banach-Tarski, 551
Burali-Forti's, 553
Petersburg, 519
Russell's, 549, 553, 554, 556
Zeno's, 283-284, 310
Achilles, 283
arrow, 284
dichotomy, 283
stadium, 284
paradox curve, 281
parallel lines, 294
parallel postulate, 16, 55, 333-338, 350
parameterized surface, 375
Paris, 514
Paris Academy of Sciences, 190, 384, 448,
494
Paris Codex, 37
Parmenides, 293
partial fractions, 440
partial reinforcement, 13
parts (unit fractions), 129
table of doubles, 132
Pascal's theorem, 365
Pascal's triangle, 213, 515
Pataliputra, 24
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