Ribenboim P. — My numbers, my friends: popular lectures on number theory :: Электронная библиотека попечительского совета мехмата МГУ

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Ribenboim P. — My numbers, my friends: popular lectures on number theory

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Название: My numbers, my friends: popular lectures on number theory

Автор: Ribenboim P.

Аннотация:

This is a selection of expository essays by Paulo Ribenboim, the author of such popular titles as "The New Book of Prime Number Records" and "The Little Book of Big Primes". The book contains essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as for instance Kummer's work on Fermat's Last Theorem. The essays are written in a light and humorous language without secrets and are thoroughly accessible to everyone with an interest in numbers.

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Рубрика: Математика/Теория чисел/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 384

Добавлена в каталог: 08.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Rank of appearance      12 13 15
Rao      280
Rational points      39 241
Real analysis      66
Records, fraction of zeros of Riemann $\zeta$ function on critical line      75
Records, largest composite Fermat number      72
Records, largest factored Fermat number      72
Records, largest Fermat prime      72
Records, largest gap between consecutive prime numbers      76
Records, largest known composite Mersenne      73
Records, largest known prime for which P+1 is also prime      65
Records, largest known prime whose digits are also primes      77
Records, largest Mersenne prime      72
Records, largest pair of twin primes      76
Records, largest prime      73
Records, largest prime repunit      77
Records, largest value of $\pi(x)$ exactly computed      74
Records, largest value of Riemann hypothesis verified      75
Records, longest sequence of primes in arithmetic progression      68
Records, smallest Fermat number not yet determined composite      72
Recurrence relation      56 219 305
Ree, R.      353
Representations of m as sums of two squares      60
Repunits      35 77 346 348
Rhin, G.      309
Ribenboim, P.      19 32 36 38 39 42 63 76 84 88 193 237 239 242 261 263 314 347 348 355 358 359
Ribet, K.A.      242
Richelot, F.      275
Richter      186
Riemann hypothesis      17 18 71 75 84 159 160 164 166
Riemann zeta function      75 159 219 231 280 308
Riemann zeta function, expression for $\zeta(2)$       281
Riemann zeta function, expression for $\zeta(3)$       281
Riemann zeta function, expression for $\zeta(4)$       282
Riesel, H.      195 280
Robbins, N.      31—33
Roberts, L.      89
Roots of unity      6 151 152 155
Rosser, J.B.      73 221
Roth, K.F.      198 201 287 299 314
Rotkiewicz, A.      20 31 32 34 39 191 192 195 225 257
Ruffini, P.      272 275
Ruler and compass constructions      115 275 285 287
Rumely, R.S.      70
Russell's paradox      355
Rutherford, W.      186
Sagier, D.B.      298
Saito, M.      166
Salo, D.      69
Schanuel's conjecture      see Conjectures Schanuel's
Schanuel, S.H.      323
Schatunowsky, J.      351
Schenkman, O.      317
Schinzel, A.      4 18 20—23 92 124 192 223 225 236 245 263
Schmidt, W.M.      311 329 331
Schneider, T.      287 311 314 320 321 323 331
Schoenfeld, L.      73
Schoof, R.J.      165
Selberg, S.      178 183 188
Selfridge, J.      21 87
Selmer, E.      5
Sentance, W.A.      233
Serre, J.P.      168
Shafarevich, I.      155
Shanks, D.      168 186 283
Shanks, W.      186
Sharp, A.      184
Shibata, K.      298
Shimura, G.      242
Shiu, P.      231
Shorey, T.N.      24 29 205
Siegel's lemma      318 319
Siegel, C.L.      108 157 159—162 194 198 201 261 287 314 318 319 331
Sierpinski, W.      15 92 192 236
Sieve of Eratosthenes      81
Silverman, J.H.      226 260
Sitaramachandara Rao, R.      280
Skewes, S.      73
Smart, J.R.      280
Sophie Germain primes      see Prime numbers Sophie
Special linear group      120
Sporadic groups      354
Sprindzuk, V.G.      329
Spunar      221
Square-classes      30—33 36 40 42
Square-free numbers      16 17 23 24 26 33 42 67 95 97 99 118 139 148 152 164 165 191 193 224 226 291 346 350 351
Squaring the circle      285 287 318
Stainville, M.J.      285 301
Stark, H.M.      68 108 160 349 350 358
Steinberg, S.      353
Steiner, R.      32

Steinig, J.      142
Stephens, P.J.      16 17
Stewart, C.L.      4 19 24—26 30 41
Stormer, C.      183 188 190 204
Sumerians      353
Suzuki, M.      353
Sylow subgroups      144 169
Sylvester, J.J.      216 303
Symmetric group      276
Synthesis      64
Szekeres, G.      108 230 231
Takahashi, D.      187
Tamarkine, J.      218 220
Taniyama, Y.      242
Taylor, R.      242
te Riele, H.J.J.      73 74 290
Theory of genera      107 116 138—144 167
Theta series      52 58 61
Thue's equations      20
Thue, A.      189 196 198 201 204 287 295 312 314
Thyssen, A.      67 93
Tijdeman, R.      34 178 201 204 205 245 259
Toepfer, T.      307
Top, J.      38
Topologies, number of distinct      351
Transcendence degree      324 327
Transcendence measure      331
Transcendence of $e^{\alpha}$       317
Transcendence of $e^{\pi}$       322
Transcendence of $log \alpha$       287
Transcendence of $\gamma$       288
Transcendence of $\pi$       286—288 318
Transcendence of $\pi+log{\alpha}$       323
Transcendence of $\sqrt2^{\sqrt2}$       288 321
Transcendence of $\zeta(3)$       288
Transcendence of e      287 288 317
Transcendence of log r      317
Transcendence of trigonometric functions      318
Twin primes      see Prime numbers twin
Tzanakis, N.      19
Uncountability      276 299 310 312 316 330
Unitarily perfect number      353
Van Ceulen, L.      184
Van de Lune, J.      74
Van der Poorten, A.J.      29 280 290
Van der Waerden, B.L.      275
Van Rooman, A.      184
Vanden Eynden, C.      233
Vandiver, H.S.      195 217 221 225
Veblen, O.      317
Venus      82
Viete, F.      183 185 277
Viola, C.      309
von Neumann, J.      187
Von Vega, G.      186
Vorob’ev, N.N.      2
Voutier, P.M.      19
Wada, H.      69 161 166
Wagstaff, S.S.      70 87
Waldschmidt, M.      25 30 33 271 284 331
Walker, D.T.      233
Wallis, J.      277 278 291
Walsh, P.G.      42 232 233 261 263
Ward, M.      14 15
Warren, L.J.      192 257
Weierstrass, K.      286 317 324 327
Weil, A.      115 213
Weinberger, P.J.      108 161 166 357
Wells, D.      358
Wieferich congruence      247—249
Wieferich, A.      189 192 220 221 237 257
Wiens, D.      69
Wiles, A.      192 220 237 242 257 308
Williams, H.C.      27 76 161 163 164
Willis, J.      184
Wilson primes      218
Wilson's theorem      218
Winter, D.T.      74
Wolfskehl, P.      351
Woltman, G.      71
Wrench, J.W.      186
Wright, E.M.      24 59 65 66 282
Wyler, O.      30
Yamamoto, Y.      166
Yao, Q.      75
Young, J.      71
Zagier, D.B.      108 160 243 298
Zeta function      74 75 87 159 219 231 242 280 282 308
Zeta function of a field      159
Zhang, M.      280
Zsigmondy, K.      1 17 19 23 195 225 248 354

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