Index
a Toyota , 5 1
absolute value , 105
p-adic, 107
trivial, 11 0
algebraic, 5 6
almost all , 4 7
archimedean, 108
Aristotle, 5
arithmetic geometry , 6 7
badly approximable , 4 4
Baker's Theorem , 6 6
Baker, A. , 6 6
Blichfeldt's Lemma , 8 5
Blichfeldt, H. , 8 5
Brouncker, Lord , 4 9
calculus student' s fantasy , 11 4
cardinality, 12
Cauchy sequence , 106
Cauchy, A.-L. , 11
center o f gravity , 8 6
change o f variables , 8 4
Channing, Willia m Ellery , 130
characteristic function , 8 4
complete quotient , 3 0
completion, 106
conjugate, 4 6
continued fractio n expansion , 2 5
quadratic irrational , 4 5
convergent, 2 5
convex, 8 4
Convex Bod y Theorem , 85 , 86 , 8 9
countable, 5 8
degree, 5 6
dense, 7
Diophantus, 3
Dirichlet's Theorem , 18, 23 , 26
115
Dirichlet, J . P . G . L. , 17
discrete, 7
Dyson, F. , 6 2
effective result , 6 5
ellipse, 7 6
elliptic curve , 72 , 7 5
equivalent, 37 , 110
Euler's ph i function , 12
Euler's Theorem , 5 2
Euler, L. , 45 , 49 , 9 5
Faltings, G. , 7 2
Farey fractions , 19, 2 3
Farey, J. , 11
Fermat, P . de , 3 , 9 5
Fields Medal , 61, 7 2
food, 114
Ford circles , 14, 130
Ford, L . R. , 11
fractional part , 2 5
Freiman's number , 4 1
fundamental parallelepiped , 83
Fundamental Theore m o f Finit
erated Abelia n Groups , 7
Galois, E. , 5 0
Gauss, C . F. , 1
genus, 71, 7 2
geometry o f numbers , 8 1
global field , 123
golden ratio , 20 , 3 5
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