|
|
 |
| Àâòîðèçàöèÿ |
|
|
|
| Ïîèñê ïî óêàçàòåëÿì |
|
|
|
|
|
|
|
 |
|
|
|
| National Council of Teachers of Mathematics — Historical Topics for the Mathematics Classroom Thirty-First Yearbook |
Îáñóäèòå êíèãó íà
Íàøëè îïå÷àòêó?
Âûäåëèòå åå ìûøêîé è íàæìèòå Ctrl+Enter
|
Íàçâàíèå: Historical Topics for the Mathematics Classroom Thirty-First Yearbook
Àâòîð: National Council of Teachers of Mathematics
ßçûê: 
Ðóáðèêà: Ìàòåìàòèêà/
Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö
ed2k:
Ãîä èçäàíèÿ: 1969
Êîëè÷åñòâî ñòðàíèö: 524
Äîáàâëåíà â êàòàëîã: 03.04.2008
Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
|
|
|
| Ïðåäìåòíûé óêàçàòåëü |
Famous problems of antiquity see “Angle trisection “Circle squaring “Duplication
Ferguson, D.F. 110
Fermat numbers 64—65
Fermat, method of maxima and minima 389—390 411—412 425—426
Fermat, Pierre de [102] 57 64 79—80 158 180 181 210 227 247 252 310 386 387 388—389 390 392 410—413 425—426
Fermat’s “last theorem” [23] 79—80
Ferrari, Ludovico 195 244 278 310
Ferro, Scipione del 244 277 309
Feuerbach circle 230
Feuerbach, Karl 230
Fibonacci (Leonardo of Pisa) [22] 48 77—79 94 140 207 242 274 309 325 332
Fibonacci (sequence) numbers [22] 77—79 157 207 309
Fibonacci, Liber abaci 48 77 94 242 309 325
Field 249 259
Figurate numbers [10] 16 33—34 51—52 53—58 66—67
Fincke, Thomas 373
Finger numbers 88—89 120—123
Finger reckoning [29] 88—89 120—123
Finite differences [108] 427—429
Finite Differences (Boole) 428
Finite differences, notation 428
Fior, Antonio Maria 277
Fletcher, A. 107
Fluents 392 422—423
Fluxions 3 394—395 397 399 422—423
Force of water on dam 406
Formalist school 468—469
Foundations of the Theory of Probability (Kolmogorov) 159
Four-color problem 186
Four-dimensional geometry [57] 211—214
Fourier, Jean Joseph 313 434 449
Fourier’s series 438
Fourth-degree equation see “Equations quartic”
Fractional exponents 415
Fractions [35] 135—137 95—98
Fractions, Arabic 136
Fractions, Babylonian 135
Fractions, common 136—137
Fractions, continued [68] 100 109—110 155 276—279 304
Fractions, decimal [36] 6 49 97—98 106 136—137 137—138 356
Fractions, etymology of 137
Fractions, Greek 96 136
Fractions, Hindu 97 136
Fractions, Roman 90 136
Fractions, sexagesimal 37 96—97 131—132 135 365
Fractions, symbolism for 43 95—98
Fractions, unit 40 43 50 95—96 124—125 136
Frechet, Maurice 187 188—189 191 469
Frege, Gottlob 258 466 468
Fuller, Thomas 160
Function [82] 312—313
Function notation 459
Function, concept of 337 398
Function, definition of 401—402
Function, exponential 154
Function, graph of 384
Functions, trigonometric 12—13 169 177 355
Fundamental theorem of algebra [84] 186 278 311 316—318
Fundamental Theorem of Arithmetic 35
Galileo Galilei 52 85 158 227 385 386 405
Galois, Evariste 246 251 255 256 279 311 466
Galois’s theory 255
Game theory 473
Gamma function [115] 446—448
Gamma function, notation 448
Ganita-Sara-Sangraha (Mahavira) 30
Gardiner, William, Tables of Logarithms 145
gauging [107] 386 424—427
Gauss, Carl or Karl Friedrich 3 15 65 159 183 184 185 186 209 246 247 253 278 288 291 292 310 311 316 320 324 350 433 434 462
Gelfond, Aleksander O. 84
Gematria [20] 34 74—75 76 140
Gematria, number of the beast 75
Genaille, Henri 142
Genaille’s rods 141—142
General trattato (Tartaglia) 326
Genetic method 3 5 471
Geometria del compasso (Mascheroni) 193 194
Geometria indivisibilibus (Cavalieri) 386 409
Geometric algebra see “Algebra geometric”
Geometry 146 179 180—182 190 247 geometrical”)
Geometry in China [62] 225—226
Geometry in medieval Europe 177—178
Geometry of abstract spaces 188—189
Geometry, Arabic 176—177
Geometry, Babylonian 168—169
Geometry, definition of 187—188 190—192
Geometry, demonstrative (systematic) 170—174 190
Geometry, descriptive 179
Geometry, differential 182—183
Geometry, Egyptian 167 169—170
Geometry, elliptic 185
Geometry, Erlanger Programm 187—188 191 259 467
Geometry, etymology of 167
Geometry, four-dimensional [57] 211—214
Geometry, Greek 170—176
Geometry, Hindu 176—177
Geometry, hyperbolic 185
Geometry, modern 174—175 190—192
Geometry, n-dimensional 182 187 279—280
Geometry, non-Euclidean [55] 10—11 183—185 190 207—210 224 462 464 470
Geometry, origins of 165—168
Geometry, Parabolic 185
Geometry, projective 178—180 188
Geometry, scientific 166—168 190
Geometry, solid 174
Geometry, solid analytic 181
Geometry, subconscious 165—166 190
Gerbert (Pope Sylvester II) 118
Gergonne, Joseph Diaz or Diez 179 180
Ghaligai, F. 263
Gherardo or Gerard of Cremona 370
Gibbs, Josiah Willard 258 280
Girard, Albert 245—246 291 317 322 371
Girard, Invention nouvelle en l’algebre 322
Gnomon, number form 52 67
Gnomon, sundial 73 225 335—337 353—354 372—373
Goedel, Kurt 469 471
Goldbach, Christian 65
Golden rectangle 206
Golden section (mean, ratio) [54] 78 204—207
Goldstine, Herman H. 163
Golenischev papyrus see “Moscow papyrus”
Googol 83
Grammelogia (Delemain) 273
Grandi, Guido 210
Graphical solution of algebraic equations 145—146
Graphical solution of spherical triangles 145
Grassmann, Ausdehnungslehre 279 280
Grassmann, Hermann 182 257 258 259 279 280 282 462
Graunt, John, Natural and Political Observations 326
Greatest common divisor (g.c.d.) 69 267 378
Greek numeration system [4] 42—43
Greek numeration system, alphabetic (Ionic) 27—29 33 42—43 47 50 75 90 132—133 262 298
Greek numeration system, Attic (Herodianic) 42 82 298
Greenwood, Isaac 140
Gregory, David 153
Gregory, James 109 114 115 154 247 390 393
Group theory 187—188 247—256 311 470
groups 246—253 311 466—467 472
Groups of transformations 188 191
Groups, characteristic 279
Groups, concept of 259
Groups, cyclic 251 253
Groups, definition of 248—249
Groups, finite Abelian 256
Groups, permutation 247—248 253 254—256
Grundlagen der Geometrie (The Foundations of Geometry) (Hilbert) 180—190
Gua de Malves, Jean Paul de 320
Gunter, Edmund 111 273 371 374
Habash 355 373
| Hadamard, Jacques 65
Half-angle formula 348 361
Halley, Degrees of Mortality 326
Halley, Edmund 326
Hamilton, Lectures on Quaternions 257 280
Hamilton, William Rowan 3 246 256 257 280 282 292 295 449 462
Hardy, G.H. 14
Harmonic mean 377
Harpenodoptai (“rope stretchers”) 68 215
Harriot, Artis analyticae praxis 319
Harriot, Thomas 243 263 308 310 319 331
Harvard Mark I-VI Calculators 162—163
Hassar, al- 139 140
Hausdorff, Felix 469
Heath, Thomas Little 94
Heaviside, Oliver 434 442
Hebrew numeration system 26 27 75
Heisenberg, August 259
Hemisphere, area of 127
Herigone, Pierre 331 362
Hermann, Jacob 229
Hermite, Charles 84 155
Hero see “Heron or Hero of Alexandria”
Herodotus 120 167 206
Heron or Hero of Alexandria 4 99 139 175 291
Heron, Stereometrica 291
Hesiod 88
Hilbert, David 84 190 191 364 468 469
Hilbert, Grundlagen der Geometrie (The Foundations of Geometry) 180—190
Hindu numeration system 28—29 47 48
Hindu Reckoning (ibn-Lebban) 133
Hindu-Arabic numeration system [7] 6 28 46—49 76—77 94—95 118 133—134 242 243 260 309 365
Hipparchus of Nicaea 101 145 333 338 340 359 365 369 374
Hippasus 71
Hippias of Elis 150 201 202 378
Hippocrates of Chios 150 172 198 202
Hippolytos or Hippolytus 140
Hisab al-jabr w’al muqabalah see “Al-jabr (al-Khowarizmi)”
Hobbes, Thomas 119 153
Hoelder, Otto 255 434
Hohenberg, Herwart von 95
Hollerith, Herman 113
Horner, William George 275
Horner’s method [70] 274—275 438
Horologium oscillatorium (Huygens) 228
Hubble, Edwin 110
Hudde, Johann 69 246 391
Hurwitz, Alexander H. 62
Huygens, Christiaan or Christian 158 183 228 269 391 418
Huygens, Horologium oscillatorium 228
Hypatia 99
Hyperbola 392 (see also “Conic sections”)
Hyperbola, etymology of 175 222—224
Hypercomplex numbers 257—258 259 279—280
Hypsicles 57 365
Iamblichus of Chalcis 58 60
ibn-Lebban, Hindu Reckoning 133
ibn-Lebban, Kushyar 133
ibn-Qorra, Tabit 218
identities 4
imaginary numbers 3 15 16 35 36 83—84 244 245—247 256 259 278 279 290—294 311 358—359
Impossible constructions (geometrical) 201 204
incommensurability [18] 36 70—72 172 239 378—379 467
Indeterminate equations 69 240 241 303—305 308
Indeterminate forms 435—438 454—456
Indian see “Hindu” references
Indivisibles 382 386—387
Infinite series 109 114—115 392—393 398 400
Infinite series for  152
Infinite series for e 155
Infinite series, paradoxes of 433
Infinite set 85
Infinite set of primes [14] 62—63
Infinite set of transfinite cardinals 85
Infinitesimals in India [119] 454—457
Information theory 473
Insertion principle 200
Institute for Advanced Study, Princeton 471—472
Institutis arithmetica (Boethius) 95
Integral calculus 382 390 397 402
Integration 380 385 388—390 396 400
Interdependence in mathematics 15—16
Interest [88] 325—326
Interpolation theory 349—350
Intersection of sets 285—287
Introductio arithmetica (Nichomachus of Gerasa) 53 60 94
Introductio in analysis infinitorum (Euler) 154 398 401
Intuitionist school 467 468
Invariants 283 311 324
Invention nouvelle en l’algebre (Girard) 322
Inverse tangent problem 391
inversion 194
Irrational numbers [18] 70—72 84 152 155 239
Isosceles triangle 219
Jacobi, Carl or Karl Gustav Jacob 449 451
Jacobians [117] 450—452
Jacobians, notation for 451
Jacquard, Joseph Marie, Jacquard loom 162
Jartoux, Pierre 453
Joachim, Georg see “Rheticus”
John of Halifax or Holywood see “Sacrobosco”
John of Seville 137
Jones, William 145 153
Jordan, Camille 255
Juvenal 121
Kant, Immanuel 213
Karkhi, al- 308
Kashi, Jamshid al- 138 350 355 356
Kasner, Edward 83
Keill, John 213
Kemeny, John 3
Kepler, Johann or Johannes [100] 77—78 207 359 386 391 407—408 424—425 470
Kepler, planetary laws of motion 391 407—408
Kepler, Stereometria doliorum vinorum 424
Khayyam, Omar see “Omar Khayyam”
Khazini, al- 355
Khowarizmi, Al-jabr 233 242 260 306
Khowarizmi, Liber algorismi see “Liber algoritmi de numero Indorum”
Khowarizmi, Liber algoritmi de numero Indorum 48 234 242 260
Khowarizmi, Mohammed ibn-Musa al- [21] 28 48 76—77 140 233 236 242 260 261 306 332
Kirchhoff, Gustav Robert 186
Klein, Felix 185 187 191 259 452 467 472
Knotted cords 129
Kochansky, Adamas 81 151
Koenigsberg bridge problem 186
Kolmogorov, Andrei Nikolaevich, Foundations of the Theory of Probability 159
Korean number rods [32] 128—129
Kowa, Seki 281 452
Kronecker, Leopold 69 256 468
Krsna 455
Kulik, J.P. 65
Kummer, Ernst 80
Kushyar ibn-Lebban see “ibn-Lebban Kushyar”
La Disme (Stevin) 97 138
La Geometrie (Descartes) 181 310 317 318 319 387
Lacroix, Sylvestre Francois 451
Lagrange, Joseph Louis 115 214 247 253 254 256 270 313 318 322 323 399—400 433 449 451
Lagrange, Theorie des fonctions analytiques 400
Lal (“subtract”) 37
Lalanne, Leon 146
Lallemand, Charles 146
Lambert, Johann Heinrich 152 184 208 270
Lame, Gabriel 69 80
Laplace, Pierre Simon 115 159 247 282 390 442 449
Large numbers [25] 82—83 89—90
Laws of Thought (Boole) 258 284
Le triparty en la science des nombres (Chuquet) 329
Lectiones Opticae et Geometricae (Barrow) 391 416
Lectures on Optics and Geometry (Barrow) 391 416
Lectures on Quaternions (Hamilton) 257 280
|
|
|
| Ðåêëàìà |
|
|
|
|
|
Î ïðîåêòå