594 Index
cancellation law, 7, 76, 83, 147
canonical height, 561–565
Cantor’s construction of reals, 18, 26,
269
Carath ́eodory extension of measure, 477
Cardano’s formula, 39, 76
cardinality, 10
Carmichael number, 116, 125
Cartesian product, 3
cascade, 465
Casimir operator, 443
Catalan number, 93
Cauchy sequence, 25, 30
Cauchy’s theorem, 48, 534
Cauchy–Schwarz inequality, 28, 72
Cayley number, 53
Cayley–Hamilton theorem, 50
central limit theorem, 76, 391, 395,
489
centralizer, 60
centre, 49, 53, 68–70
chain condition, 90, 95, 96, 98, 101, 148
chain rule, 33
character of
abelian group, 400, 401, 434
representation, 414, 437
character theory, texts, 443
characteristic
function, 327
of ring, 62–63, 103, 111
polynomial, 283, 419
Chebyshev’s functions, 367–370, 372,
400
Chevalley–Warning theorem, 116, 125
Chinese remainder theorem, 119, 125,
267, 316
chord and tangent process, 555
circle method, 123, 392, 549
class
field theory, 125, 325
function, 414, 417, 437
number, 151, 207, 218, 578, 584
classical mechanics, 429, 465, 481, 490
classification of
finite simple groups, 124, 251, 258
simple Lie algebras, 442, 444
Clebsch–Gordan formula, 438
Clifford algebra, 78, 324
closed
ball, 35, 344, 348
sets, 28
closure, 28, 204, 337, 485
codes, 255, 388
codeword, 256
coding theory, texts, 258, 395
coefficients, 66, 97
combinatorial line, 488
common divisor, 83
common multiple, 84
commutative
group, 55, 59, 79, 109
law, 7, 55, 83
ring, 60–61, 75, 78
compact
abelian group, 434, 483
group, 436, 437, 442
metric space, 485
set, 28, 43, 286–287, 432
complement of set, 3, 61
complete
elliptic integral, 496, 503–509, 517,
537
metric space, 30–32, 75, 270
ordered field, 23, 26
quotient, 181–183, 212, 479
completed zeta function, 381
completion of
metric space, 31
valued field, 271
complex
analysis, 48, 77
conjugate, 41
integration, 77
multiplication, 537, 574, 578
number, 39–48, 69
composite mapping, 4
composite number, 88, 124
composition of solutions, 196, 198, 199
conductor of elliptic curve, 572
conformal equivalence, 218
congruence
of integers, 106–119