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Olds C.D. — Continued Fractions
Olds C.D. — Continued Fractions



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Название: Continued Fractions

Автор: Olds C.D.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1963

Количество страниц: 162

Добавлена в каталог: 28.10.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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 $\sqrt{N}$      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, $ax - by = \pm1$      36
Indeterminate equations, $Ax\pm By = \pm C$      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, $x^{2}-Ny^{2}=\pm1$      89 113ff 118ff 123
Indeterminate equations, quadratic equation      121
Integral part of x, [x]      108
Irrational numbers      51ff
Irrational numbers, approximation of      123ff
Irrational numbers, expansion of      51ff
Klein, F.      77
Lagrange      30 56 89 95 139
Lagrange’s Theorem      1 lOff
Lambert      30 136 138
Laplace      139
Lattice points      77
Le Veque      126
legendre      132 136
LIMIT      44 63
Logarithms, common      74
Logarithms, method for calculating      84ff
Logarithms, natural      74
Minkowski      130
Newman, James R.      90
Niven, Ivan      52 123 126 129
Number, algebraic      52
Number, irrational      51ff
Number, prime      19
Number, transcendental      52
Ore, O.      32
Pacioli, Luca      82
Partial quotients      8 19
Partial sums      64-65
Pell, John      89
Pell’s equation, $x^{2}-Ny^{2}=\pm1$      89 113ff 118ff 123
Pell’s equation, $x^{2}-Ny^{2}=\pm1$, insoluble, $x^{2}-3y^{2}=-1$      131ff
Pell’s equation, $x^{2}-Ny^{2}=\pm1$, minimal solution of      118
Perron      129
Phyllotaxis      61
Pi $(\pi)$      52 58 60 76 136-137
Prime number      19
Pythagorean equation      121
Quadratic irrational      51
Quadratic irrational, reduced      89 96-98 lOOff
Quadratic surd      51 88
Quadratic surd, reduced      96-98 lOOff
Rational fractions, expansion of      5 8 13
Reflexive      127
Rhind papyrus      58
Robinson, R.M.      129
Schwenter, Daniel      29
Segre, B.      129
Serret      132
Shanks, Daniel      84
Smith, D.E.      134
Square root of 2 $(\sqrt{2})$      52
Stern      137
Stieltjes      130
symmetric      127
Transitive      127
Uniqueness      16
wall      130
Wallis, John      30 135
Wright      123 130
Wythoff, W.A.      61
Wythoff, W.A., game      61
Zippin, L.      66
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