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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
Nigeria 70
Nilakanthaso-mayajin 414
NILE 259
Nine 35 396
Nine hundred 216—217
Nine, Chinese 269
Nine, Egyptian 177
Nine, Hebrew 215
Nine, Indian 410
Nine, Japanese 276
Nineteen 177
Ninety 215 235 248 295
Ninety-nine 295
Ninety-three 58
Ninevah 101 103 135 146
Ninni, A.P. 197
Ninurta 161
Nippur 81 130 239
Nisawi, Abu'l Hasan 'Ali ibn Ahmad an 363 524 530 539 548 560 562—563
Nisibe 512
Nissen 92
Nizami 526 556
Nommo the Seventh 72
Non-equivalence between sets 3—4
Non-Euclidian geometry 598
Notched bones 11 see
Nottnagelus 359
Nougayrot, J. 85 146
Nought see "Zero"
Nubians 39
Numa, King 47
number systems see also "Abacus" "Accounting" "Base "Body "Calculation" "Decimal" "Mysticism" "Position rule "Sumerian" "Zero"
Number systems, alphabetic numerals 156—157 212—262 483—484
Number systems, Arab-Islamic 511—576
Number systems, Chinese 263—296
Number systems, Cretan 178—180
Number systems, Dictionary 440—510
Number systems, Egyptian 162—177
Number systems, Europe 578—582 586—591
Number systems, Greek 182—187 218—223 232—233
Number systems, Hebrew 214—218 233—236
Number systems, historical classification 347—355
Number systems, Hittite 180—181
Number systems, Indian 367—439
Number systems, Mayan 297—322
Number systems, Mesopotamian 96—108 134—161
Number systems, modern 324—325 343—347 356—367 592—599
Number systems, Roman 187—200
Numerology 93—94 161 360 554 see "Mysticism"
Nur ad din 526
Nusayir, Musa Ben 520
Nusku 161
Nuwas, Abu 521
Nuzi, Palace of 100—101
Oaxaca Valley 301 305
Oaxahunticu see "Maya calendars"
Obols 182—183 201—203
Oceania 10 12—14 36 44 554
Odyssey 214
Oedipi Aegyptiaci 226
Oezguec 181
Oghlan, Karaja 529
Ojha 386—387
Okinawa 70
Olivier 179
Omayyad dynasty 520
Omri, King 236
One 33 194 392
One hundred and eight 71
One, Aztec 305
One, Chinese 269
One, Greek 179 182 184 186
One, Hebrew 215
One, hieroglyphic 165 168 176 178 181 325
One, Indian 409—410
One, Maya 308
One, Roman numerals 188 192
One, Sumerian 84 148
One-for-one correspondence 10—12 16—17 19 96 191 194
Opera mathematica 91
Ophel, accounting 236
Oppenheim, A.L. 100—101 131
Ora 216
Oral numeration 25—26 265—266 303
Orchomenos 183
Order relation 20
Ordinal numeration 20—22 24 182 193
Ore 276 428
Oriental Research Institute (Baghdad) 100
Origin of species 519
Orissi numerals 370
Oriya numerals 370 381 384 421 438
Orontes 55
Oscan alphabet 212
OSIRIS 169 259
Ostraca 213 236 238
Otman, Khalif 58
Ottoman Empire 527—529 543
Ottoman Empire, secret writing 248—250
Ottoman Empire, Siyaq numerals 547—548
Oudjat 169—170
Ounce 92
Ownership, mark of 66
Oxen 72
Pacific Islands 72 125
Pacioli, Luca 57 567 576
Pairing 6 21
Pakistan 94 386 520
Pakistan, numerals 368 381 534
Pakistan, phalanx-counting 94
Palaeo-Hebraic alphabet 212—213 233 236 238
Palaeography 391 401 404—406 419 538—539 579
Palamedes 219
Palenque 297 316—317 320
Palestine 70 236 239 519 528
Palestine, numerals 228 236—238 241 246
Pali writing 374 377 383 385
Palindromes, numerical 399
Pallava dynasty 378
Pallava dynasty, numerals 397—398
Palmyra 212 227—228 248 533
Palmyrenean numerals 390
Panchasiddhantika 414—416 439
Panchatantra 323 419 520
Panini 388—389
Paniniyam 389
Pantagruel 51
Paper making 516 521 566—567
Papias 207
Pappus Of Alexandria 221—222 523
Papuans 13—14
Papyrus 533
Paraguay 15
Parameshvara 414
Parchment, Maya 301
Pardes Rimonim 253
Paris (of Athens) 51
Paris Codex 301
Paris, B.N. 361—362
Parity, concept of 6
Parmentier, H. 413 418—419
Parrot, Andre 142
Pascal's triangle 282 511
Pascal, Blaise 282 594 598
Pasha, Ziya 529
Pebbles 12 15 96—97 125
Pebbles, counting 126
Peguy, Charles 365
Peignot 381
Peignot script face 588
Peking 272
Peletarius 358
Pellat, C. 55 541—542
Peloponnese 75—76 183
Pemy, P. 51 268 271
Pendulums 42
Pepys, Samuel 578
Perception, limits of 6—10
Perdrizet, P. 256 258—259
Pergamon 256
Persia 70 259 376 512—528
Persia, abacus 556 562—563
Persia, number system 39 58 250—251 545—547 553
Persia, writing 240 248 539
Persian Gulf see "Sumerians"
Peru 69—70 308 543
Peruvian Codex 308
Peten, Lake 299—300
Peter, Simon 257
Peterson, F.A. 312—314 317 320
Petitot 46
PETRA 228
Petruck 434
Petrus of Dacia 361
Phaestos 178
Phalanx-counting 94—95
Pheidon, King 75
Philippines 383
Phillipe, Andre 65
Philo of Byzantium 513 518
Philology 419
Philosopher's stone 518—519
Philosophica Fragmenta 203
Phoenicians 359
Phoenicians, alphabet 212—214 219 239
Phoenicians, number system 9 39 137 227—228 351
Phoenicians, writing 185 232 236 390
Phonograms 80 136 265 see
Phrygia 238
PI 596—597
Piaget 4—5
Picard 598
Picard, Abbe Jean 42
Pictograms 78—81 85 97—99 107—108 306 see
Pieron, H. 365
Pihan, A.P. 268 271 356 381 543—545 547
Pingree, D. 91—92 150 153 157 414—415
Pinyin system 265
Pisa, Leonard of see "Fibonacci"
Pizarro 68
Place-value system 324 559—560 588 see rule "Positional
Place-value system, abacus 287—288 434—437 561
Place-value system, discovery 287—288 337—339 399—407 416—421
Planudes, Maximus 361 365 562 589
Plates, lead 181
Plato 512—513 517 523 598
Plaut 273—274
Plautus 194
Pliny the Elder 47 198 427
Plotinus 513 523
Plurality 32
Plutarch 47 55
Po Nagar 404—406 420
Poincare, H. 367
Polish 33—35
Polybius 200
Polynesia 6 72
Polynomials 283
Pompeii 256
Popilius Laenas, C. 189
Popol Vuh 301
Porter 75
Portugal 33 35 51
Posener, G. 52 533
Position, rule of 24 143 145—155 334—340 345—346 see
Positional systems, Arabic 186
Positional systems, Babylonian 145—154
Positional systems, Chinese 278—283
Positional systems, historical classification 353—355
Positional systems, India 411—421
Positional systems, Mayan 308—312 322
Pott, F.A. 36—37
Powell, M.A. 82 121
Powers, abacus 285
Powers, cubed 363
Powers, exponential 528 594
Powers, negative 156 278
Powers, squared 323—324 363
Powers, ten 278 426—429 440 594
Prah Kuha Luhon 404
Prasat Roman Romas 413
Prayer-beads 11 50—51 99
Pre-Sargonic era 81 87 89
Prescott, W.H. 69
Priests, Mayan 311—312
Primitive societies, barter in 72—73
Primitive societies, counting 5 10 12—18 46
Prinsep, J. 386—387
Prithiviraj 526
Prolegomena 261 363 519 529 542 552—553 593
Prophet, the see "Mohammed"
Proto-Elamite number system 326
Psammetichus, King 52
Psammites, The 333
Pseudo-Callisthenes 256
Ptolemy 513 520—525 588 598
Ptolemy I 256
Ptolemy II 232
Ptolemy V 167
Pudentilla, Aemilia 55—56
Puebla region 301
Pulisha Siddhanta 427
Punjab 228
Punjabi numerals 369 381 384 421 438
Putumanasomayajin 414
Puzzles, number 176—177
Pygmies 5 72
Pylos 179
Pythagoras 256 515 596
Pythagoras' theorem 151 522
Qasim, Abu'l 524
Quadrillion 427—428
Quahuacan 36
Quauhnahuac 36
Qubbut al Bukhari 252
Qudama 523
Quetzalcoatl 300
Quinary systems 9 44—46 94—95
Quintana Roo 299 303
Quintilian 47
Quintillion 428
Quipucamayoc 69 308
Quipus 64 68—69 308 542—543 see knotted"
Quirigua 298 316—317 319—321
Qutan Xida see "Buddh"
Qutayba 513
Qutb ud din 526
Rabban, 'Ali 522
Rabelais 51
Rachet, Guy 81 135
Raimundo of Toledo 362
Rajasthani numerals 381 384
Ramus 358
Ramz 250
Rangacarya, M. 414 418
Rank-ordering 16
Ras Shamra 137 214
Rashed, R. 363 511 519
Rashi 253
Rashid ad din 514 516 527
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