Unknown

(^436) Index
critical point, 72
cube root of unity, imaginary, 19,
158,248 (1.3.9), 263,313,
315, 319-320, 375
cubits, 17-20
Cardan’s method, 18-19,249
Cayley’s observation, 20,249
discriminant, 19,195,196,197,
242 (8.26), 316,347,379,
389 (8.52)
graph, 73, 265
inflection point, 73, 334
intersecting curves, 140-141,
301-302
irreducible, 114 (3.8.17)
local extrema, 235
location of zeros, 155 (4.9.3,
5), 181,188 (5.4.21), 334,
338
nature of zeros, 19,42 (1.9.1),
155 (4.9.5), 187 (5.4.11),
195,233 (8.26), 344-345
(6.1.9)
reducible, 114 (3.7.7)
symmetric functions of zeros,
26,123-124, 152 (4.8.12),
193-194, 312
triple zero, 77 (2.5.13), 271
Vieta’s method, 20
winding around origin, 1.45,
305
zeros in progression, 201,232
(8.18)
zeros of derivative, 187 (5.4.19),
412
zeros, surds, 42 (1.9.4), 156,
258
cyclotomic polynomials, 103, 105,
106, 120, 280-281, 294,
410-411
decreasing, 72, 364
degree
several variables, 24
single variable, l! 4-5
de Moivre’s theorem, 15,101,120,
141, 249, 279, 294, 296,
309
derivative, 64-68, 197 (6.2.7)
commuting with polynomial,
76 (2.5.9)
composition of functions, 68
graphing, 72
partial, 68-71
zeros, 68,74-75,148-149,194,
237,322, 343, 381,411
Descartes
quarticequation, 20, 195 (6.1.12)
rule of signs, 170-171, 173,
323-324, 330, 331, 332
detached coefficients, method of,
4, 58
difference, 54, 208-209, 212, 227
(7.5.4)
difference table, 207
differential equation, 77 (2.5.11),
270
Legendre, 71, 407
dilatation, 247, 319 (4.9.2), 416
diophantine equations, 28-30,400-
402,403,410 (E.14) 412
(E.45-46)
Pell, 373,396-397,409-410
problems, 231-232
Pythagorean, 28, 371 (8.9)
solutions, 369-374
sum of cubes, 29, 400-401
discriminant, 196-197, 316, 346-
347
see cubits, quadratics, quar-
tics
divisibility of numbers, 30-31
greatest common divisor, 31-
35, 100, 251-252, 279
least common multiple, 31,33
divisibility of polynomials, 51-52,
56-59
division theorem, 59
greatest common divisor, 63-
64, 197 (6.2.7) 301, 405