Unknown

(^440) Index
composition of quadratics, 43,
259
Descartes’ method, 20, 195,
250
Ferrari’s method, 21, 250
Galois theory, 132-136
graph, 73, 236, 389-392
intersecting curves, 141,302-
303
problems, 20-21,149-150,201-
202
quasi-reciprocal, 23, 195 (6.1.11),
250
solutions, 250, 307-308
symmetric functions of zeros,
195,202
zeros in harmonic progression,
201 (4.4), 348
quaternions, 239-240
quintics, 2, 74, 77, 78, 79, 128-
129,266-267, 270,271
Ramanujan, 314
rational functions, 107-110
rational zeros, 91-94, 113 (3.8.10),
291,409
real zeros
conditions for, 186 (5.4.7), 187
(5.4.11), 193,225 (7.4.4),
344
location of, 160-177, 187 (5.4.15,
19)
reciprocal polynomials, 21-23,147,
250
reciprocal substitution, 22, 23
reciprocal zeros, polynomial with,
180, 194
recursion, 16 (1.3.15), 23, 35, 43
(1.9.14), 48 (1.9.13), 89-
90,100,165,177-179,183-
185, 200, 388, 397, 408,
409-410
remainder, 52, 57, 64, 264
residue, 109, 411
Rolle’s theorem, 74-75, 148,172-
173, 174-175, 190, 223,
325,336,407
rook polynomial, 7-8
roots, see zeros
roots of unity, 16, 101-104, 114,
115,191,295
Routh-Hurwitz criteria, 182
Ruffini, 126
ruler and compasses constructions,
411
angle trisection, 130, 137
complex operations, 15, 247
duplication of cube, 137
quadratic equation, 12, 396
regular 17-gon, 104
squaring circle, 137
Runge example, 414
Schur-Cohn criterion, 181
sequence, 414
see also recursion
shift, 208
Sicherman dice, 105, 281
simple zero, 68, 197, 202
simultaneous equations, 121-124,
151-154, 297-298, 309-
319, 382 (8.34)
solution by radicals, 131-136,411,
420
sphere, 317
square root, 16 (1.3.10), 43, 164,
169, 219, 248, 258
squares
difference of cubes equal to,
236,388
polynomials, number of terms
of, 6
sums of two, 239
stable polynomials, 181-183,329-
330
Sturm’s theorem, 170, 175-177
summation, 54, 212
sums of first n powers, 76, 200-
201,413