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Электронная библиотека Попечительского совета
механико-математического факультета
Московского государственного университета
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| Olds C.D. - Continued Fractions |
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| Предметный указатель |
Absolute value 72
Acyclic 95
Approximation theorems 70ff
Archimedes 58
Archimedes, 'cattle problem' of 90 113
Aryabhata 29
Associate 103
Babylonians 58
Beckenbach, E. 9
Bellman, R. 9
Bombelli, Rafael 29 134
Brouncker, Lord 30 89 135
Cataldi, Pietro Antonio 29 134
Coconuts and monkeys 48ff
conjugate 99
Continued fraction 7
Continued fraction for  112ff
Continued fraction, finite simple 7
Continued fraction, geometrical interpretation of 77
Continued fraction, infinite simple 53-54 66
Continued fraction, interpretation of 77
Continued fraction, periodic 88ff
Continued fraction, periodic part of 56
Continued fraction, purely periodic 90ff
Continued fraction, simple 7
Continued fraction, symmetrical periodic part of 113
Continued fraction, terminating 7
Continued fraction, uniqueness 11
Convergents 6 19
Convergents, differences of 27 58 61
Coxeter, H.S.M. 61
de Gelder, Jakob 60
Dickson 89-90
Diophantine equations 31ff
Diophantine equations, general 37
Diophantine equations, minimal solution of 118
Diophantine equations, particular solution of 37
Diophantine equations, solutions of 89
Discriminant 98
Divina Proportione 82
e 52 74-75 135-136
Equivalence classes 127
Equivalent 127ff
Eratosthenes 90
Euclid's algorithm 16
Euclid's Elements 17
Euler 30 32 35 132 135
Farey sequences 126
Fermat 89 132
Fibonacci numbers 60 81-82 84 137 147
Galois 95
Gardner, Martin 50
Gauss 132 138
Geometric constructions 59
Golden section (mean) 61 82-83
Greatest common divisor 17
Hardy 123 130
Heath 90
Hildebrand, F.B. 30
Hurwitz's theorem 124ff 128
Huygens, Christiaan 30
Indeterminate equations,  36
Indeterminate equations,  46
Indeterminate equations, ax + by = c 31
Indeterminate equations, ax + by = c, (a,b) = 1 44
| Indeterminate equations, ax - by = c, (a,b) = 1 42
Indeterminate equations, Diophantine 31ff 89
Indeterminate equations, having no integral solutions 131ff
Indeterminate equations, Pell's equation,  89 113ff 118ff 123
Indeterminate equations, quadratic equation 121
Integral part of x, [x] 108
Irrational numbers &nbs |
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