Index 603function, 531–536, 538
group, 202–205, 531
transformation, 201
module, 161, 166–169, 171–172, 175
modulom, 106
monic polynomial, 97, 151, 174, 262
monotonic sequence, 24–26
Monster sporadic group, 258
Montgomery’s conjecture, 383–384,
395
Mordell conjecture, 215, 216, 575, 583
Mordell’s theorem, 176, 559, 565–569
multiple, 83
multiplication, 60
by a scalar, 64
of integers, 12
of natural numbers, 7
of rational numbers, 16
multiplicative
function, 154–155, 175
group, 62, 114–115, 125, 292
inverse, 16
Nagell–Lutz theorem, 569, 578
natural
logarithm, 39, 364
number, 5–10, 14
nearest neighbour conjecture, 384
negative
definite quadratic space, 296
index, 297
integer, 13
neighbourhood, 33
Nevanlinna theory, 215, 219
Newton’s method, 277, 290
node, 554, 571, 572
non-archimedean absolute value, 261,
264, 273–276
non-associative, 53–54, 78
non-Euclidean
geometry, 208–209, 219
line, 208
triangle, 209, 533
non-negative linear functional, 432
nondecreasing sequence, 24, 25
nondegenerate lattice, 332
nonincreasing sequence, 24, 25
non-singular
cubic curve, 555
linear transformation, 68
matrix, 227
point, 549, 550
projective curve, 387
projective variety, 387
quadratic subspace, 293
norm of
n-tuple, 28
complex number, 119
continuous function, 28, 29
element of quadratic field, 106,
140–141
ideal, 384
integral divisor, 386
linear map, 34
octonion, 54
prime divisor, 386
quaternion, 50–51, 121
vector, 71, 271, 341
norm-Euclidean domain, 106
normal
form for cubic curve, 552–553,
556–558
frequencies, 430
modes of oscillation, 430
number, 474, 476, 489
subgroup, 58–59, 79, 421, 427
vector, 474–476, 489
normed vector space, 271, 287, 341
n-th root of
complex number, 44, 47, 77
positive real number, 23
n-tuple, 3, 28, 64
nullity of linear map, 68
nullspace of linear map, 68
number theory, texts, 123
numbers, 1, 74
numerical integration, 460–464, 489octave, 53
octonion, 53–55, 77, 82, 442
odd permutation, 57, 129, 130, 224,
227
one (1), 5, 60
one-to-one, 4