Index 595of symmetric matrices, 293
subgroup, 210
congruent, 106
congruent numbers, 575–578, 584
conic, 549, 550
conjugacy class, 60, 125, 417
conjugate
character, 421
complex number, 41
element of quadratic field, 140
group elements, 60, 417
ideal, 146
octonion, 54
quadratic irrational, 192, 209–210
quaternion, 49
representation, 421
connected set, 28, 44
constant, 386
coefficient, 97
sequence, 24, 269
contains, 2
continued fraction
algorithm, 179, 181, 211–212, 217
expansion of Laurent series, 212,
219
expansion of real number, 179–182
map, 479
continued fractions in higher dimen-
sions, 217
continued fractions, texts, 217
continuous function (map), 26, 28, 29,
43, 65
continuously differentiable, 34, 36, 65,
67
contraction principle, 32–33, 35, 36,
76, 285
contragredient representation, 411
convergence
in measure, 29
of compact sets, 353
of lattices, 352–357
convergent of Laurent series, 212
convergent of real number, 181, 182,
185–188, 480
convergent sequence, 24–26, 30, 32,
33, 269
convex set, 327, 341
convolution product, 152, 433
Conway’s groups, 351
coordinate, 3, 41, 47
coprime, 85
coset, 58, 63–64, 107
representative, 58, 78
right, left, 58
countably infinite, 10
covering, 337, 359
critical
determinant, 339, 348, 357
lattice, 339, 357
cross-polytope, 339
cross-ratio, 500
crystal, 346, 358
crystallographic group, 346–347, 358
crystallography, 358
cube, 339
cubic
curve, 549–558
polynomial, 39, 76
cusp, 554, 571, 572
form, 573
cut, 18–21
cyclic group, 59, 62, 110, 114–116,
198, 251, 263, 423
cyclotomic
field, 151
polynomial, 102, 111, 112, 135, 426
cylinder set
general, 478
special, 476decimal expansion, 18, 107, 476, 509
decomposable lattices, 348, 349
Dedekind
construction of reals, 18–22, 76
eta function, 549
zeta function, 384–385, 395, 409,
573
Dedekind–Peano axioms, 5, 76
deduced representation, 420
degree of
affine curve, 549
algebraic number, 214
extension field, 67