Index 599generator
matrix, 255
of cyclic group, 114
genus of
algebraic curve, 216, 395, 558
field of algebraic functions, 387, 388
geodesic, 208–210, 219, 388, 395, 482
flow, 388, 395, 481, 483
geometric
representation of complex numbers,
41, 47
series, 34
geometry of numbers, texts, 357
Golay code, 255, 256
golden ratio, 179
good lattice point, 464
Good–Churchhouse conjectures,
391–392, 395
graph, 30
Grassmann algebra, 256
greatest
common divisors, 83–87, 89–92, 148
common left divisor, 167
common right divisor, 121
lower bound, 19, 22, 24
group, 55–60, 109
generated by reflections, 359, 442,
444
law on cubic curve, 555–556, 565,
582, 583
group theory, texts, 78
Haar
integral, 432–433, 443
measure, 358, 435, 474
Hadamard
design, 250–251
determinant problem, 223, 243–247,
250, 257
inequality, 223, 229–230
matrix, 223, 230–233, 250–257, 306,
321, 350
Hales–Jewett theorem, 488, 490
Hall’s theorem on solvable groups, 428,
443
Hamiltonian system, 481, 483
Hamming distance, 28, 255
Hardy–Ramanujan expansion, 549,
582
Hasse
invariant, 310, 311, 324
principle, strong and weak, 317, 325
Hasse–Minkowski theorem, 312–316,
324–325
Hasse–Weil (HW) conjecture, 572
Hausdorff
distance, 352–353
maximality theorem, 485
metric, 353, 356, 357
heat conduction equation, 519
height of a point, 559–561
Hensel’s lemma, 277–282, 290
Hermite
constant, 347–348, 351, 359
normal form, 175, 332
highest coefficient, 97
Hilbert field, 306–311, 324
Hilbert space, 75, 79, 433
Hilbert symbol, 303–307, 313, 324
Hilbert’s problems
5th, 440, 443
9th, 174
10th, 217
17th, 323–324, 325
18th, 358, 359–360
H-matrix, 230–231, 244, 245
holomorphic function, 48, 124, 372,
377, 404, 405, 512
homogeneous linear equations, 68, 166
homomorphism of
groups, 52–53, 58–59, 566
Lie algebras, 441
Lie groups, 441
rings, 63–64, 99, 111
vector spaces, 67
Horner’s rule, 99
Hurwitz integer, 120–121, 126, 541
hyperbolic
area, 209
geometry, 208–209, 219
length, 208
plane, 298, 299, 302
hypercomplex number, 77