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National Council of Teachers of Mathematics Ч Historical Topics for the Mathematics Classroom Thirty-First Yearbook
National Council of Teachers of Mathematics Ч Historical Topics for the Mathematics Classroom Thirty-First Yearbook

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Ќазвание: Historical Topics for the Mathematics Classroom Thirty-First Yearbook

јвтор: National Council of Teachers of Mathematics

язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1969

 оличество страниц: 524

ƒобавлена в каталог: 03.04.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$\phi$ (phi)      see УGolden sectionФ
$\phi$ (phi), $\tau$ (tau)      205
$\pi$ (pi)      [44] 148Ч153 squaring
$\pi$ as a ratio      148 150 151 152
$\pi$, approximations for      103 109 110 149Ч152 169 174 226 377 403 453Ч454
$\pi$, Archimedian approximation for      150 174 403
$\pi$, Babylonian approximation for      149
$\pi$, biblical approximation for      149
$\pi$, BrounckerТs expression for      151Ч152 269
$\pi$, Chinese value of      109 150
$\pi$, classical method of computing      108 150Ч151 174 226 403
$\pi$, computation of      108Ч110
$\pi$, computation of, by computer      152Ч153 174
$\pi$, continued fraction form of      269Ч270
$\pi$, Egyptian approximation for      149
$\pi$, Hindu approximations for      150Ч151
$\pi$, irrationality of      152
$\pi$, LambertТs expression for      270
$\pi$, LeibnizТ series for      152Ч153 393 421
$\pi$, Ludolphian number      109 151
$\pi$, MachinТs formula for      109 152
$\pi$, probability methods of computing      153
$\pi$, PtolemyТs value of      103 109
$\pi$, symbols for      153
$\pi$, transcendence of      84 152 204
$\pi$, VieteТs expression for      151
$\pi$, WallisТ expression for      152 414
$\tau$ (tau)      see УGolden sectionФ
Abacists      119
abacus      [28] 28 46 94 117Ч120 130 242
Abacus as counting table      91 117Ч120
Abacus, Chinese (suan phan)      91Ч92 119
Abacus, contest with      92Ч93
Abacus, etymology of      91 117
Abacus, Japanese (soroban)      91Ч92 119
Abacus, Roman      91Ч92 118
Abel, Niels Henrik      115 246 251 253 254 255 256 266 278 311 433 434
Abstract algebra      234 284Ч287
Abstract spaces      188Ч189
Abu Kamil      307Ч308
Abundant numbers      [12] 59Ч61
AbuТl-Wefa      103 177 195 351 352 355 373 375
Acta Eruditorum      229 393 397
Actuarial mathematics      247
Adams Ч Bashford method      115
Additive principle      6 23 27 37 38 41 42
Adelard of Bath      48 119
Agnesi, Maria Gaetana      211
Agnesi, witch of      [56] 210Ч211
Ahmes papyrus      see УRhind papyrusФ
Ahmes, AТh-mose or Ahmose      123
Aiken, Howard H.      112 162
Al-jabr (al-Khowarizmi)      233 242 260 306
Alcuin of York      121
Alembert, Jean Le Rond dТ      214 318 433 438 449 460
Aleph null      85
Alexander, James Waddell      187
Alexandria      73
Algebra      see also УEquationsФ
Algebra (Wallis)      213 292
Algebra in medieval Europe      309
Algebra of logic      257
Algebra, abstract      234 284Ч287
Algebra, Arabic      [80] 76Ч77 241Ч242 260Ч261 305Ч308 332
Algebra, associative division      297
Algebra, Babylonian      235Ч236 237 240 276 312 377Ч378
Algebra, boolean      [74] 257Ч258 284Ч287
Algebra, Egyptian      237 332
Algebra, etymology of      233
Algebra, European      [81] 242Ч245 309Ч311
Algebra, fundamental theorem of      [84] 186 278 311 316Ч318
Algebra, geometric      172 236 237Ч240 242 276 298Ч301 308 338
Algebra, Greek      [78] 236 237Ч240 261Ч262 298Ч300 332
Algebra, Hindu      [79] 241Ч242 261Ч262 301Ч305
Algebra, laws of      248Ч251 256Ч257 279Ч280 285Ч286 296Ч297
Algebra, linear      283
Algebra, matrix      257Ч259 281Ч283
Algebra, modern      234 284Ч287
Algebra, names for unknown      242
Algebra, noncommutative      256Ч257 259 279Ч280 296Ч97
Algebra, quaternionic      280
Algebra, renaissance of      242Ч245 277Ч278 309Ч310
Algebra, rhetorical      234 235Ч236 237 242 260 303 305 387
Algebra, stages in      234
Algebra, symbolic      234 243Ч244 387
Algebra, symbolism in      181 241 243Ч244 245 291 310
Algebra, syncopated      234 240Ч241 243 260Ч262 277 303
Algebraic numbers      [26] 83Ч84
Algebraic symbolism      260Ч263
Algorism      see УAlgorithmФ
Algorismus vulgaris (Sacrobosco)      48
Algorists      119
Algorithm (or algorism), etymology of      48 234
Algorithm, Euclidean      [17] 69 267 378
Algorithm, square root      4Ч5
Almagest (Ptolemy)      [91] 50 90 96 101 242 337 338 342 344 359Ч361 370
Almagest (Ptolemy), contents of      361
Almagest (Ptolemy), etymology of      359
Alternating Series Test      421 433
American Mathematical Monthly      471
Amicable (friendly) numbers      [11] 58Ч59
Ampere, Andre      160
An Index of Mathematical Tables (Comrie)      107Ч108
An Investigation of the Laws of Thought (Boole)      258 284
Analemma      339Ч342
Analemma (Ptolemy)      342
Analyse des infiniment petits (LТHospital)      397 435
Analyst      397 399
Analytic geometry      146 179 180Ч182 190 247
Anaxagorus      202
angle      [92] 362
Angle, definitions of      362
Angle, degrees in      365Ч366
Angle, measure of      363Ч364 364Ч368
Angle, mil      367Ч368
Angle, radians      366Ч367
Angle, right      [93] 363Ч364
Angle, symbol for      362 364
Angle, trisection of      [52] 173 193 199Ч201
Angular measure      [94] 364Ч368
annuities      [88] 325Ч326
Anthologia Palatina      240
Anthoniszoon, Adriaen      109
Antiphon      202
Apices      118
Apollodorus      215
Apollonius of Perga      174 175 178 180 182 222 223 239 387
Apollonius, circle of      175
Apollonius, Conic Sections      175 178 222 239
Application of areas      222
Arabic (modern) numeration system      29 49
Archibald, R.C.      107
Archimedes      [98] 4 73 82 89Ч90 108 132 150 174 182 199 202 380Ч382 385 386 403Ч405 430Ч431 432
Archimedes, anticipation of the calculus      [98] 403Ч405 409
Archimedes, area of parabolic segment      403Ч405
Archimedes, determination of pi      403
Archimedes, lemma of      379
Archimedes, Metaphysics      51
Archimedes, Method      381Ч382 385
Archimedes, method of      [109] 380Ч382 385 403Ч404 430Ч431
Archimedes, On the Sphere and Cylinder      174
Archimedes, postulate of      174
Archimedes, spiral of      202Ч204
Archimedes, The Measurement of the Circle      93 100 132 150
Archimedes, The Sand-Reckoner      89Ч90
Archytas of Tarentum      198 222 276
Area of circle      126 149Ч150 169 202 377 386 403 407 430 440
Argand, Jean Robert      15 246 292 293
Aristophanes      202
Aristotle      11 51 64 70 73 212 362
Arithmetic (theory of numbers)      32 36
Arithmetic mean      377
Arithmetic triangle      see УPascalТs triangleФ
Arithmetic, CalandriТs      134
Arithmetic, etymology of      233
Arithmetic, Treviso      94 97 134
Arithmetica (Diophantus)      57 79 240 261 332
Arithmetica Infinitorum (Wallis)      387Ч388 414
Arithmetica integra (Stifel)      140
Arithmetica Universalis (Newton)      319Ч320 322
Arithmetische und geometrische Progress-Tabulen (Buergi)      106 143
Arithmetization of analysis      401Ч402
Ars Conjectandi (Bernoulli)      159 266
Ars magna (Cardano)      212 244 277 278 310
Art of Numbring By Speaking-Rods (Leybourn)      141
Artis analyticae praxis (Harriot)      319
Aryabhata      69 150 301 370
Asoka      47
ASSC      112 162Ч163
Astrolabe      340
Astronomy      175 177 333 339Ч342 470
Astronomy, Arabic      350
Astronomy, astronomical instruments      194
Astronomy, Babylonian      37 360 364Ч365
Astronomy, concepts of      38
Astronomy, Greek      12 359Ч361 365
Astronomy, Hindu      140 346Ч350
Ausdehnungslehre (Grassmann),      279 280
Automata theory      473
Automatic Sequence Controlled Calculator (ASCC)      112 162Ч163
Axiomatic method      462Ч467 476
Axiomatic method as a research tool      465 472
Axiomatic structure      9
Axiomatics      2Ч3 173 189Ч190 191
Axiomatics, interpretation of      189
Axiomatics, role of, in teaching      471
Axioms      9 15Ч16
Axioms, EuclidТs      9 16
Axioms, independence of      462
Babbage, analytic engine      112 162
Babbage, Charles      112Ч113 161 423
Babbage, difference engine      112 161Ч162
Babbage, H.P.      112 162
Babylonian algebra      377Ч378
Babylonian astronomy      37Ч38
Babylonian numeration system      [1] 4 6 28 36Ч38 47 49 89 130Ч132 135 360 364Ч365 370
Bakhshali manuscript      50 136 332
Baldwin, Frank S.      112
Ball, W.W. Rouse      160 214
Bank      120
Barlow, Peter, New Mathematical Tables      101 108
Barrow, differential triangle      416Ч417
Barrow, Isaac      [104] 153 390Ч391 392 415Ч417 418 419
Barrow, Lectiones Opticae et Geometricae      391 416
Battani, al-      103
Bede, De temporum ratione      89
Bede, the Venerable      88Ч89 122
Bell, Eric Temple      127 170
Beltrami, Eugenio      185
ben Ezra, Abraham      136
Benedetti, Giovanni B.      195
Berkeley, George      399 445
Bernoulli, Daniel      438 449
Bernoulli, Jakob or Jacques      181 229 266 397 440 441 458
Bernoulli, Jakob, Ars conjectandi      159 266
Bernoulli, Johann or Jean      145 227 228 312 358 397 398 399 435Ч439 440 441 446
Bertrand, Joseph L.F.      63
Bessel, F.W.      246
Beyer, Johann Hartmann      138
Bhaskara      30 68 218 241 304 455 456Ч457
Bidder, George Parker      160
Binary numeration system      6Ч9 89 93 130
Binary quadratic form      323
Binet, Jacques P.M.      78
Binomial coefficients      156Ч157 (see also УPascalТs triangleФ)
Binomial theorem      [67] 114 264Ч266 294 310 392 421 433
Birkhoff George D.      471
Biruni, al-      336 353 355 373 375
Blater, J.      78 105
Boethius      95 119 219
Boethius, Institutis arithmetica      95
Bolyai, Farkas      209
Bolyai, Janos      10 184 185 209 462 464
Bolzano, Bernhard      401
Bombelli, LТAlgebra      327Ч328
Bombelli, Rafael      243 263 267 291 292 310 327Ч328 330
Boole, Finite Differences      428
Boole, George      115 257 284 428 429
Boole, Laws of Thought      258 284
Boole, Mathematical Analysis of Logic      284
Boolean algebra      [74] 257Ч258 284Ч287
Brachistochrone      228 440
Brahe, Tycho      407
Brahmagupta      68 69 151 176 241 243 261 262 301 349 455Ч456
Brahmagupta, Brahmasphuta Siddhanta      349
Brahmagupta, Uttara Khandakhadyaka      349
Brahmasphuta Siddhanta (Brahmagupta)      349
Brianchon, Charles J.      179 230
BrideТs Chair      218
Briggs, Henry      98 106 145 247
Brossin, George      see УMere George chevalier
Brouncker or Brounker, William      151 269
Brouwer, L.E.J.      111 187 468
BrouwerТs number      111
Buergi, Arithmetische und geometrische Progress-Tabulen      106 143
Buergi, Jobst or Joost      15 106 138 143 329 331
Buffon, Georges Louis Leclerc, comte de      153
BuffonТs needle problem      153
Bugilai tribes      19Ч21
Burali-Forti, Cesare      85 467
Burroughs, William S.      113
Buteo, Jean      263 329 330
Buxton, Jedediah      160
Cajori, Florian      214
Calandri, Filippo      134
Calculating machines      111Ч114 (see also УComputers digitalФ)
Calculating machines, LeibnizТ      112 161
Calculating machines, PascalТs      112 161
Calculating prodigies      [48] 159Ч160
Calculating rods      281
Calculation      see also УComputationФ
Calculation, etymology of      87
Calculator, desk      92Ч93
Calculus      173 182 275
Calculus in Japan      [118] 452Ч454
Calculus of finite differences      115
Calculus of variations      [112] 439Ч440
Calculus, conception in antiquity      376Ч378
Calculus, differential      418
Calculus, etymology of      376
Calculus, integral      170 174 405Ч406 419
Calculus, medieval contributions to      383Ч386
Calculus, notations in      394Ч395
Calculus, priority controversy in      397Ч398 443
Calculus, search for rigor in      399Ч402
Calculus, tensor      183 280
Calendar, Mayan      89
Campanus, Johannes      177
Canon foecundus (Reinhold)      103
Cantor, Georg      36 72 84 85Ч86 313 402 465 468
Cardan, Jerome      see УCardanoФ
Cardano, Girolamo, or Jerome Cardan      157 158 195 212 243 244 245 263 277 291 309 310 317 319 329 330 358
CardanТs formula      277
Cardinal numbers      21
Carnot, Lazare      179
Carroll, Lewis      see УDodgson Charles
Casting out nines      [38] 140
Cataldi, Pietro      269 329 331
Catenary      392
Cauchy Ч Riemann equations      438
1 2 3 4 5 6
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