Unknown

Index 437

synthetic division, 58

eigenfunction, 219
eigenvalue, 219, 332 (5.4.11), 357
Eisenstein criterion, 83-84, 116,
273-275
elementary symmetric function, 24,
25,27, 193
ellipse
diameters of, 11, 42, 257
Steiner, 412
entire
function, 406
set of polynomials, 399
equilateral triangle, 155, 157, 318,
319
error, propagation of, 212
Euclidean algorithm
greatest common divisor, 31-
33, 100, 175, 251, 301
length, 34, 402
Euler
Catalan numbers, 262
homogeneous functions, 69-
70,406
infinite series, 334
little Fermat theorem, 98-99
sums of cubes, 29, 400
sums of two squares, 239
totient function (+), 105, 106
extraneous root, 124-126
extrapolation, 205-210

Fal di Bruno, 406
factorial power, 54, 77 (2.5.10),
210, 270, 354-355
factorization, 80, 84.-88, llO--112,
118-119,275-277,279,284-
288,405, 407-408
factor theorem, 57, 118, 156, 206,
241, 243, 245, 376
Fermat, little theorem, 98-99, 106-
107,411
Ferrari, 21, 126

Fibonacci sequence, 35, 183-184,

387,402, 403, 409-410

field, 37

finite, 114 (3.8.19), 294

integers mod p, 38-39, 87-

88, 252, 277

field extension, 129-131,135-136,

300-30 1

finite differences, 54,207-210,211-

212,354, 405

four-color conjecture, 62

Fourier-Budan theorem, 170,173-

175

fractals, 412, 413, 415

Fuchs, theorem of, 398

fundamental theorem of algebra,

126-127,138-148,179,193

Galois theory, 131-137,411,419-

420

Gauss

fundamental theorem of al-

gebra, 127

theorem on symmetric func-

tions, 26, 60, 193

Gauss-Lucas theorem, 411, 415

generating functions, 7-8, 262

geometric progression, 201(6.4.1),

348,416

graphical solution, 12, 396

graphs (curves)! 11, 71-75, 138-

146,160-161,163-165,175,

178, 191 (5.4.24)&06 (7.1.4)

214-217,236 (8.52) 247,

265-267,301-305,319 (4.9.2),

322-323, 329, 344, 367

(7.5.91, 389-392

greatest common divisor, see di-

visibility

group, 133-l 36

half-plane, 149, 179, 181-183

Hamilton, W.R., 240

harmonic progression, 201(6.4.4),

348,416