Pi - UnleashedSpringer Science & Business Media, 2001 - 270 páginas Never in the 4000 year history of research into Pi have results been so prolific as at present. In their book Jörg Arndt and Christoph Haenel describe the latest and most fascinating findings of mathematicians and computer scientists in the field of Pi. Attention is focussed on new methods of computation whose speed outstrips that of predecessor methods by orders of magnitude. The book comes with a CD-ROM containing not only the source code of all programme described, but also related texts and even complete libraries. |
Índice
I | 1 |
II | 21 |
III | 24 |
IV | 25 |
V | 28 |
VI | 30 |
VII | 32 |
VIII | 35 |
XLVI | 145 |
XLVII | 146 |
XLVIII | 149 |
XLIX | 150 |
L | 153 |
LI | 154 |
LII | 155 |
LIV | 156 |
X | 37 |
XI | 38 |
XII | 39 |
XIII | 44 |
XIV | 47 |
XV | 49 |
XVI | 50 |
XVII | 51 |
XVIII | 55 |
XIX | 63 |
XX | 64 |
XXI | 69 |
XXII | 72 |
XXIII | 77 |
XXIV | 78 |
XXV | 80 |
XXVI | 82 |
XXVII | 84 |
XXVIII | 87 |
XXX | 90 |
XXXI | 92 |
XXXII | 94 |
XXXIII | 103 |
XXXV | 105 |
XXXVI | 110 |
XXXVII | 113 |
XXXVIII | 117 |
XXXIX | 120 |
XL | 123 |
XLI | 126 |
XLII | 131 |
XLIV | 132 |
XLV | 135 |
LV | 158 |
LVII | 160 |
LVIII | 162 |
LIX | 164 |
LX | 165 |
LXI | 167 |
LXII | 170 |
LXIII | 185 |
LXIV | 198 |
LXV | 203 |
LXVI | 209 |
LXVII | 211 |
LXVIII | 213 |
LXIX | 215 |
LXXI | 219 |
LXXII | 223 |
LXXIII | 239 |
LXXIV | 240 |
LXXV | 241 |
LXXVI | 242 |
LXXVII | 243 |
LXXVIII | 244 |
LXXIX | 245 |
LXXX | 247 |
LXXXII | 248 |
LXXXIV | 250 |
LXXXVI | 251 |
LXXXVII | 253 |
LXXXIX | 254 |
XC | 255 |
XCI | 257 |
| 265 | |
Términos y frases comunes
accurate decimal places ak+1 approximation Archimedes Archimedes's arctan formulae arithmetic Arndt base BBP series Bellard billion decimal places billion digits binary bk+1 Borwein calculation CD-ROM Chudnovsky brothers circumference Cited converges convolution correct decimal places decimal digits denominator diameter discovered discovery error Euler example expression fact fast Fourier transform FFT multiplication function Gauss AGM algorithm geometric h HIT hexadecimal hfloat infinite Initialise integer Internet iteration Kanada Karatsuba Karatsuba multiplication known Leibniz Leibniz series lemniscate length Leonhard Euler logarithms mathematical mathematician mean method modular equations multiplicands Nilakantha number of digits obtained occur perform perimeter Peter Borwein Plouffe polygons precision procedure produces proof quadratic radius radix Ramanujan random numbers ratio recursion representation result sequence Simon Plouffe simple continued fraction spigot algorithm square root summands theorem tion transcendental number variables Viète world record Xi+1 Yasumasa Kanada zero