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Ifrah G., Bellos D. — The Universal History of Numbers: From Prehistory to the Invention of the Computer
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Íàçâàíèå: The Universal History of Numbers: From Prehistory to the Invention of the Computer
Àâòîðû: Ifrah G., Bellos D.
Àííîòàöèÿ: "Georges Ifrah is the man. This book, quite simply, rules. . . . It is outstanding . . . a mind-boggling and enriching experience." –The Guardian (London) "Monumental. . . . a fascinating journey taking us through many different cultures."–The Times (London)"Ifrah’s book amazes and fascinates by the scope of its scholarship. It is nothing less than the history of the human race told through figures." –International Herald Tribune Now in paperback, here is Georges Ifrah’s landmark international bestseller–the first complete, universal study of the invention and evolution of numbers the world over. A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years. "Dazzling."–Kirkus Reviews "Sure to transfix readers."–PublishersWeekly
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Äîáàâëåíà â êàòàëîã: 17.08.2014
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Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Rational numbers 596—597
Razhes 522
Ready-made mappings 12 17 19
Real numbers 597
Rebecca, wife of Isaac 257
Rebus 302—303 306—307
Receipts 68 70
Recorde, Robert 358 590
Recurrence 20
Red Sea 49
Redjang writing 383
Reinach 182
Reinaud 364
Reisch, Gregorius 591
Relation de las Cosas de Yucatan 300
Renaissance 529
Renou, L. 335 386—387 431 438 443
Rey 513
Reychman, J. 543 547
Rhangabes 201
Rhind Mathematical Papyrus (RMD) 171
Richard Lionheart 586
Richer 42
Ridwan of Damascus 518 527
Ridwan, 'Ali ibn 525
Riegl 196
Rif 252
Right-angled triangles 151 522
Rijal, ibn Abi'l 524
Rivero, Diego 47
RMD (Rhind Mathematical Papyrus) 171
Robert of Chester 362
Robin, C. 186—187
Rodinson, M. 185
Roellig 229
Romaji 273
Roman Empire 7 51 92 521 577—578
Roman Empire, abacus 125 202—207 209—211 578—580 582
Roman Empire, calculation 39 70 96 333—334 427
Roman Empire, currency 55 76
Roman numerals 9 187—200 327—328 349
Roman numerals, used in Europe 208 578—579
Romance languages 31—32
Romanian 33—35
Rong Gen 269
Roots, square and cube 156 285 293 419 560 596—597
Rosaries 70—71
Rosenfeld, B.A. 571
Rostand, J. 593
Rudaki 523
Ruelle, C.E. 222
Rumelia 528
Rumi, Ya'qub ibn 'Abdallah ar 527
Russia 33—35 66 72 212 290
Rutten, M. 93
Ryu-Kyu islands 70 542—543
Sa'adi of Chiraz 527 538
Sa'ddiyat 335
Saanen 195
Sabaeans 9 512
Saccheri 527
Sachau, E. 227 235
Sacred symbols 93—94 162 239 see
Saffar, Ibn al 524
Saffarid dynasty 521
Saglio, E. 221 428
Sahdad 101
Saidan, A. 364 563
Sakhalin, Ainu of 305
Saladin 526
Salamis, Table of 201—203
Samanid dynasty 521—522
Samaria 213 236
Samaritans 212 233
Samarkand 520 528
Sanayi, Abu'l Majid 58
Sangi 278—283
Sankheda 402
Sankhyayana Shrauta Sutra 422
Sanskrit 72 433 see "Nagari
Sanskrit, high numbers 427—429 434
Sanskrit, number names 29 32—35 404—406 411—420 530
Sanskrit, oral counting 426—431
Sanskrit, Panini 389
Sanskrit, Shiddhamatrika 381
Sarapis 256
Sarasvati (goddess) 439
Sardinia 520
Sargon I The Elder 135
Sargon II 139 141 159
Sari 232
Sarma, K.V. 414—415 419
Sarton, G. 519
Sarvanandin 416—418
Sastri, B.D. 414
Sastri, K.S. 414
Satan 554 588
Satires 207
Satraps 378 407
Saudi Arabia 368 534
Saul 73
Saxon, Old 33—35
Scandinavia 65 196
Scheil, J. 102 109 116
Scheil, V. 115
Schickard 594
Schmandt-Besserat, Denise 97—100
Schnippel, E. 195—196
Scholem, Gershon 217 256
Schopenhauer 20
Schrimpf, R. 278
Science, classification 517 523 525
Science, Koran 514
Scientific notation 594
Scots Gaelic 33
Scott 52
Scythians 377
Seals, cylinder 103—104 106—107
Sebokt, Severus 366 407 419
Secret writing 248—250 see
Sefer ha mispar (Number Book) 362
Semites 81 134—136 see "Arab-Islamic" "Assyrian" "Babylonian" "Hebrews" "Phoenician
Semites, alphabet 212—213 377
Semites, number system 22 136—146 227—232 351
Senart 386—387
Seneca 47 200
Senegal 305
Sennacherib 146
Separation sign 149
Septillion 428
Serere 36
Sessa, legend of 323—324
Sestertius 210
Seth 169
Sets, theory of 598
Seven 34 395 442
Seven hundred 216—217
Seven, Chinese 269
Seven, Egyptian 176
Seven, Hebrew 215
Seven, Indian 410
Seven, Japanese 276
Seventeen 177
Seventy 215
Seventy-seven 294
Seville 514 527
Sexagesimal system 82—84 90—95 126 139 157
Sexagesimal system, Akkadian 134 138 239
Sexagesimal system, astronomy 91—92 95 140 157—158 548—549
Sexagesimal system, Babylonian 134—161
Sexagesimal system, calculation 126—133 140 528
Sexagesimal system, proto-Elamite 120
Sextillion 428
Sezhong, King 275
Shah Nameh 58
Shahadah, prayer of 47
Shaka calendar 407 494
Shamash 161
Shan 39
Shang deng number system 277—278
Shang fang da zhuan writing 268
Shankaracharya 418
Shankaranarayana 388 414 418 432
Sharada numerals 371 381 384 421 438 494
Sharada writing 371 377 420
Shaturanja (early chess) 323—324
Sheba 185—187 327
Shekel 73
shells 24—25 37
Shem, son of Noah 134 254
Shen Nong 70
Shepherds, counting methods 47 191—193 214
Shepherds, counting methods and base 10 24—25
Shepherds, counting methods, bullae 101 103
Shepherds, counting methods, pebbles 12
Shepherds, counting methods, quipus 69
Shepherds, counting methods, tally sticks 11 64
Sher of Behar, King 251
Shiite Islam 521
Shiraz 243
Shivaism 407
Shojutsu Sangaka Zue 284
Shook 317
Shridharacharya 414 562
Shripati 414 562
Shukla, K.S. 414—415 419
Shunya (zero) 412 495—496
Shuri 70
Shushtari 527
Siamese numerals 375 388 403
Siamese writing 383
Siberia 71—72
Sibti, Abu'l 'Abbas as 550—551
Sicily 190 219 521 587
Siddham numerals 384
Siddham writing 377 381 420
Siddhamatrika writing 381
Siddhanta see "India astronomy"
Siddim, Valley of 253
Sign language 52—59
Silberberg, M. 346 362 589
Silent numbers 214
Sillamy, N. 4 365
Simiand, F. 366
Simonides of Ceos 219
Simplicius 512
sin 161
Sinan, Ibrahim ibn 243
Sindhi numerals 369 381 384 421 438
Singapore 272
Singer, C. 518—519
Singh, A.N. 356 364 386—388 399—400 414 419 422 434 438 562 568 573
Singhalese numerals 342 352 374 383 385 388
Singularity 32
Sino-Annamite writing 272
Sino-Japanese numerals 273—276 278
Sino-Korean number system 275
Sircar 438
Sirmauri numerals 381 384
Sitaq 248
Sivaramamurti 387
Six 34 161 395
Six hundred 84 216—217
Six hundred and sixty-six 260—261
Six, Chinese 269
Six, Egyptian 176
Six, Hebrew 215
Six, Indian 410
Sixteen 218
Sixty 91 93
Sixty, base 40 82
Sixty, Hebrew 215
Sixty, Mesopotamian 84 141—142 148 161
Siyaq numerals 545—548
Skaist 235
Skandravarman, King 378
Skarpa, F. 194—195
Slane, I. 542 552—553
Slavonic Church 33—34
Smirnoff, W.D. 260
Smith, D.E. 199 207 284 356 361—362 364 381 386—387 399—400 538 580 589
Smith, V.A. 386
Snellius 595
Sol, French unit 92
Solar cycle 49—50
Solar cycle, calendar, Maya 297
Solar cycle, eclipse 529
Solomon Islanders 19
Solomon's ring, legend of 357
Solon 200 206
Sommerfelt, A. 5
Soothsayers 261—262 269 551—556 see
Soroban 288—289 294
Soubeyran, D. 144—145 336
Sounda 375
Sourdel 540
Soustelle, Jacques 36 72—73 239
South America, counting 5 10 36 125
South America, Inca civilisation 68—69 308
South Borneo 18—19
Spain 51 250 525 553
Spain and Arabs 248 513 520—521 528 587
Spain, Central America 300—303 308
Spain, number system 31 33—35 359 534—537 585
Spain, Spanish Inquisition 588—589
Spain, writing 216 539 586
Spanish Inquisition 588—589
Spatio-temporal disabilities 5
Spheres 522
SPINOZA 199
Spirits, malign 275—276
Square alphabet 212—213 215 233
Square roots 156 285 293 419 560 596—597
Squares (power of two) 323—324 363
Sri Lanka 5 372 374
Stars and Stripes 290
Steinschneider, M. 346 362
Stele of the Vultures 86
Stephen, E. 19
Stephens, John Lloyd 300—301
Sterling currency 41
Stevin, Simon 595
Stewart, C. 543 545 547
Sticks as counting devices 15—16 125 see
Stone, as medium 162
String, knotted 64 68—71
Su Yuan Yu Zhian 281
Suan Fa Tong Zong 61 284 293
Suan pan 288—294 see Chinese"
Suan zi notation 278—283 288 408
Subandhu 418
Subha (prayer) 50
Subtraction 174
Subtraction, abacus 127 204—206 285 292
Subtractive principle 89 328
Succession 21—22
Sudan 97—98 539
Suetonius 256
Sufi 521 550—551
Sulawezi 383
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