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| Ore O. — Number theory and its history |
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| Предметный указатель |
Manning, H. P. 141
Mantissa 317—319 322 323 325
Martin, A. 169
Mason, D. E. 96
Mayan numerals 2 4 18
Mean, arithmetic 90 91
Mean, geometric 87 88 91
Mean, harmonic 90 91
Mediation 38
Meditationes algebraicae 199 259
Meet 104
Meissel 69 77
Mendelsohn, I. 175
mersenne 53 55 59 69 71—73 75 92—96 99
Mersenne primes 69 71—73 92—94
Milliard 5
Million 4
Mills, W. H. 80n.
Modul, of congruences 211ff.
Modul, of numbers 159—163 214
Modulus see Modul
Mohammed ibn Musa al-Khowarizmi see Al-Khowarizmi
Mordell, L. J. 208
Multiples 29
Multiples, common 45 48
Multiples, least common (l.c.m.) 25 45—49 100—107
Multiplicative group 162 163 344
Multiplicative group, grouping of numerals 11 12 16
Multiplicity 86
Multiply perfect numbers 95—96
Myriad 4
Napier, John 24
Napoleon 199 209
Neo — Platonic 97
Neo — Pythagorean 26
Neugebauer, O. 171 172 176 208
Newton 55 209
NIM 39
Nonius 195
Nonresidue, quadratic 354
NUMBER 1
number systems 2 3 21 34 311
Number systems, Babylonian sexagesimal 2 16—18 36 37 172—179 188 312 324
Number systems, binary 2 37
Number systems, closed 158—163
Number systems, decadic 1 3 12 33 34 226 233 279
number systems, decimal 1 3 10 34 36
Number systems, duodecimal 2
Number systems, dyadic 2 37—39
Number systems, positional 16
Number systems, quinary 2 3
Number systems, ternary 37
Number systems, triadic 37
Number systems, vigesimal 2 18
Number theory (Barlow) 93 131
Number theory, analytic 76 78 85
Number, Of the beast 28
Numbers, abundant 94 95
Numbers, algebraic 206 207
Numbers, amicable 27 96—100
Numbers, associated 28 29
Numbers, base 34
Numbers, binomial 70
Numbers, classification of 158
Numbers, complex 158—163 347 348
Numbers, composite 50 51 331
Numbers, deficient 94 95
Numbers, even 29 31
Numbers, Fermat 74 75
Numbers, finger 5—7
numbers, imaginary 347
Numbers, Mersenne 75
Numbers, multiply perfect 95 96
Numbers, natural 25 28
Numbers, odd 31
Numbers, perfect 27 71 91 95
Numbers, prime 50—85 93 359
Numbers, rational 158—164 319 320
Numbers, real 158—163
Numbers, regular 174 316
Numbers, transcendental 345
Numbers, with Fermat property ( numbers) 331—339
Numerals 1
Numerals, alphabetic 13
Numerals, Arabic 19 24 117
Numerals, Attic 11 15
Numerals, Babylonian 2 16 18 172—179 312 324
Numerals, Brahmi 19
Numerals, Chinese mercantile 12
Numerals, Chinese — Japanese 11 12 16 17
Numerals, ciphered 12—13 19
Numerals, Demotic 13
Numerals, Gobar 20
Numerals, Greek 11 13 15 28
Numerals, Hebrew 28
Numerals, Herodianic 11 15
Numerals, Hieratic 13
Numerals, hieroglyphic 10 13
Numerals, Hindu — Arabic 15 19 21 24 312
Numerals, Hindu — Brahmi 13
Numerals, Mayan 2 4 18
Numerals, positional 16 18 19 312
Numerals, Roman 8 10 14 21
Numerals, Sumerian 16
Numerals, with multiplicative grouping 11 12 16
Numerals, with simple grouping 10 11 16 18
Numerical checks 225—233
Numerology 25—27 39 91 94 98
On the Creation of the World 27
Pacioli, Luca di Burgo 7n.
Paganini, Nicolo 100
Palatine Anthology 132 180
Papyrus Rhind 116 117 119 141
PARTS 91
Pascal 55 74
Pell, John 53
Perfect numbers 27 71 91 95
Periodic decimal expansion 318—325
Periods, first, second, third (Gaussian) 355—357
Pervouchine 73
Peter II 60
Philo Judaeus 27
Pipping, W. 84
Pisano see Leonardo
Plato 26 166
Platonic Bodies 340
Plimpton Library tablet 170 175 176
Pliny 6
Polygonal numbers 180
Polygons, construction of 74 340 346—358
Polygons, regular 340
Polyhedrons, regular 340
Porisms 180
Poulet, P. 71 96 100 115 331 334 339
Poullet — Delisle, A. C. M. 233
Powers 73
Prime, even 50
Prime, factorization 50 51
Prime, factors, determination of 52
Prime, number theorem 77 78
Prime, numbers 50—85 93 359
| Prime, relatively 41 50
Prime, tables 66 67 69 76 85
Prime, twins 76
Primes, distribution of 75 76 78
Primes, Fermat 69 75 205 351—354 358
Primes, infinitude of 65
Primes, Mersenne 69 71—73 92—94
Primitive roots see Roots primitive
Primitive solutions 167—169 178 190 191 200
Probl mes plaisans 125 141
Problems see Indeterminate problems
Proclus 166
Ptolemy, King 340
Pulverizer 122 193
Puzzles 116ff.
Pythagoras 165 166
Pythagorean school 26 27 97 165 166 174 195
Pythagorean school, triangle and theorem 165—170 177—184 189 190 200 202 203
Quadratic, fields 163
Quadratic, fields, forms 63
Quadrillion 5
Quinary number systems 2 3
Quipu 8
Quotient 30
Radius vector 348
Rahn 53
Rangacarya, M. 141
Rational numbers 158—164 319 320
Ray 161
Real numbers 158—163
Reckoning coins 15
Reckoning Manual 313
Recorde, Robert 21
Reflexivity 212
Reformation 28
Regiomontanus 141 194 249
Regular numbers 174 316
Reisch, Gregor 22
Remainder 30
Remainder, least absolute 32 43 215
Remainder, least positive 30
Republic 26
Residue, biquadratic 355
Residue, class 214—216
Residue, quadratic 354
Residue, systems 213—216
Rhind, Henry 116
Riemann, G. F. B. 78
Riemann’s hypothesis 78
Ring 161—163
Robert of Chester 20
Roberval 198
Rohnius see Rahn
Roman indication 247
Roman numerals 8 10 14 21
Roots, of unity 349—352
Roots, of unity, nonprimitive 350
Roots, of unity, primitive 350 352
Roots, primitive, for a modul 284—302 310 325
Rouse — Ball, W. W. 24 358
Rudolff, Christoff 122 195 313
Rules of Coss 313
Russian multiplication 38 39
Sachs, A. 176 208
Sacrobosco see John of Halifax)
Sand Reckoning, The 5
Sanford, V 314n.
Sarrus, F. 326
Score 2 8
Seelhoff 73
Self-dual 107
Set operations 105 108
Seven 27 117
Shanks, W. 324
Shodja, C. Aslam see Abu Kamil
Simultaneous congruences 240—250
Sispanov, S. 334 339
Smith, D. E. 7 24 314n. 325 359
Soroban 15
SPREAD 306—309
Squaring of the circle 340 345
Stevin, Simon 24 313—315 325
Stiefel, Michael 98 195
Stock 8
structures 105
Subtraction Principle 10
SUM 105 108
Sum, of three or four squares 198
Sum, of two squares 60—63 196—198 203 267-271
Sumerian numerals 16
Sun-tse 245 247
Surd 195
Swanpan 15
Sylvester II, Pope see Gerbert
Symmetry 212
Syncopated algebra 181
Tablets, cuneiform, Babylonian 17 170—179
Talisman 97
Tallies 8 9
Tallies, exchequer 8 9
Tannery, Paul 208
Tartaglia 98
Telephone cables, splicing of 302 305—310
Ten 3
Thales of Miletus 174
Theodorus, Master 187
Thomas, J. M. 358
Thousand 3
Thue, A. 268
Thureau — Dangiii, F. 171 208
Totient 110
Transitivity 212
Trattato de numeri perfelti 73
Trigonometric functions 179
Trillion 5
Trisection of the angle 340 341 344 345
Tschotu 15
Twelve 3
Uhler 73
union 104 105 108
Uspensky, J. V. 39 40 43 359
Val e — Poussin, C. J., de la 78
Vandiver, H. S. 208
Venerable Bede see Bede
Vigesimal number systems 2 18
Vija — Ganita 123 136 193
Villefranche see Etienne de la Roche)
Vinogradoff, I. 85 199
Waring, Edward 199 259
Welser, Marcus 14
Wilson, John 259
Wilson’s congruence or theorem 259—263 266 278
Wilson’s congruence or theorem, Gauss’s generalization of 263 266 267 291 292
Woepke, F. 208
Wolfskehl 207
Woodall, H. J. 310 325
Wright, E. M. 39 40 359
Wright, H. N. 359
Xylander see Holzmann
Zero 6 18—20
Zero, residue class 215
Zeta function, Riemann’s 78
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