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Kline M. Ч Mathematics in Western Culture
Kline M. Ч Mathematics in Western Culture

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Ќазвание: Mathematics in Western Culture

јвтор: Kline M.

јннотаци€:

"[Kline] is unfalteringly clear in explaining mathematical ideas; he is learned but not pedantic; he has historical discernment, a sympathetic social outlook and a nice sense of fun and irony.... The beauty and fascination and rare excellence of mathematics emerge from his story. It is an exciting, provocative book." Ч Scientific American

"Still the best textbook for the history and philosophy of mathematics for undergraduate liberal arts students. Especially good for the age of the Scientific Revulution." Ч Janet A. Fitzgerald, Molloy College, NY

Product Description
This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.


язык: en

–убрика: ‘илософи€, религи€ и культура/

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

ed2k: ed2k stats

»здание: 1st edition

√од издани€: 1965

 оличество страниц: 484

ƒобавлена в каталог: 20.05.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Abscissa      168
Abstraction      31 51Ч53 206 461Ч462 464Ч466
Academy of Plato      41 54 79 110
Acceleration      187 191 202Ч203
Acceleration, instantaneous      220 222
Adams, John      330 333
Adams, John C      210 304
Addison, Joseph      260Ч261 279
Aesthetics, philosophy of      285Ч286
Age of Reason      121 255 276 286 360
Ahmes papyrus      21
Alberti, Leone B.      132Ч133 135 350
Alexandria      41 60Ч67 84Ч86 89 291
Algebra      10 34Ч35 37Ч38 165Ч166 176 351 454 457
Algebra of transfmite numbers      405Ч406
Almagest      84
Ampere, Andre-Marie      306 309
Amplitude of a trigonometric function      292 298
Amplitude-modulation      312Ч313
Analysis      233 457
Angle, concept of      14
Angle, trigonometric ratios of      68
Apollonius      40 49
Arabs      38 93 100 105 111 240 287
Archimedes      11 12 29 62Ч66 89 112 143 182 184 413
Architecture in Age of Reason      285
Architecture, Babylonian      20
Architecture, Egyptian      20 22
Architecture, Greek      11 34 39 56Ч58
Area, obtained by calculus      223Ч224
Aristarchus      84
Aristotle      35 41 43 54Ч55 61 84 91 94 96 118 129 142 184Ч185 187Ч190 258 409 430 449
Arithmetica      31 41
Arnold, Matthew      271 284
Ars Magna      99Ч100
Art, mathematics as      5 28 55 431 166Ч70
Art, mathematics as, Byzantine      128Ч130
Art, mathematics as, Greek      33Ч34 39 55Ч58
Art, mathematics as, in Age of Reason      284Ч286
Art, mathematics as, modern      467
Art, mathematics as, Renaissance      126Ч143 349Ч350
Art, mathematics as, Roman      86 (see also УPainting PerspectiveФ)
Astrology      19Ч20 94Ч95
Astronomy, Babylonian      22
Astronomy, Egyptian      18 22
Astronomy, Greek      33 35 76Ч77 79Ч85 111Ч112
Astronomy, medieval      94
Astronomy, Newtonian      198Ч201 206Ч212 237 286
Astronomy, Renaissance      110Ч125 183
Atheism      262 266Ч267
Athens      31 60 62
Atomic theory      381Ч382
Average      344
Average, arithmetic mean      344 346 348Ч349 369Ч371
Average, mean of a sample      372Ч373
Average, median      344
Average, mode      344 351
Axioms      43
Axioms of economics      332Ч333
Axioms of ethics      326
Axioms of human nature      323Ч326
Axioms of politics      328Ч329
Axioms, properties of      455Ч456 (see also УParallel axiomФ)
Babylonian mathematics      14Ч17 35Ч37
Bach, Johann S.      301Ч302
Bach, Karl P. E.      301
Bacon, Francis      104 116Ч117 122 184 213
Bacon, Roger      95 104Ч105 184
Barrow, Isaac      196Ч197 259 277
Base of a number system      15
Beauty, in mathematics      5 469Ч470
Beauty, in mathematics, laws of      285Ч286 (see also УArtФ)
Beethoven, Ludwig v.      298 303 462
Bentham, Jeremy      273Ч274 277 324Ч328 330Ч331
Berkeley, Bishop G.      245Ч248 324
Bernoulli, Johann      241 253
Bible      89Ч90 103 123 260 267 271 330 360 430
biology      207 237Ч238 349Ч350 356
Blake, William      280 282
Bolyai, John      410 413Ч418 421Ч427 429 431 444 452
Bolzano, Bernard      400
Botticelli      142
Bougainville, Louis A. de      270
Boyle, Robert      207 259 261Ч262
Brahe, Tycho      97 113 117 383
Bramante      134
Brianchon, Charles J.      150
Brunelleschi      132 140
Bruno, Giordano      124 257
Buffon, Comte de      238
Burns, Robert      282
Butler, Samuel      280
Byron, Lord      214 282
Byzantine Empire      100Ч101
Calculus      164 197 214Ч225 229Ч233 247Ч248 351 408 457
Calendar, Egyptian      18Ч19
Calendar, Greek      64
Calendar, medieval      95
Calvin, John      123Ч124 234
Campanella, Tommaso      126
Cantor, Georg      396Ч400 402 406Ч408 431 455
Cardan, Jerome      95 99Ч100 123 359 361 369
Catholicism      262 360
Cauchy, Augustin-Louis      233
Causality      107 186 248 258 450
Cavalieri, Bonaventura      230Ч231
Cezanne, Paul      467
Chemistry      207Ч208 237 348
Chesterfield, Earl of      246Ч247
chords      301Ч302
Christianity      91Ч93 430
Christianity, in relation to Alexandria      87 91Ч92
Christianity, philosophy of nature      107Ч108
Christianity, theology of      85 95Ч97 117 121Ч125 243 257Ч271
circle      46Ч47 49Ч50 147Ч150
Circle, equation of      168Ч169 180
Clough, Arthur H.      257
Co-ordinate geometry, four-dimensional      176Ч180
Co-ordinate geometry, higher-dimensional      180
Co-ordinate geometry, three-dimensional      172Ч176
Co-ordinate geometry, two-dimensional      163Ч172
Co-ordinates of a point      168 173Ч174 177
Coleridge, Samuel T.      282
Condensation      288Ч290
Condorcet, Marquis de      238
Congruence      45Ч46
Conic sections      6 47 49Ч50 51 149Ч150 164 172 Hyperbola ParabolaФ)
Conical surface      47
Copernicus, Nicolaus      78 85 95 97 100Ч101 110Ч124 189 196 211Ч213 236 258 304 320 342 383Ч384 391 428 431 448 452 469
Correlation      356Ч357
Cosine      68 71
Cosmas      89
Cosmology, medieval      89Ч90
Cosmology, medieval, of Thales      75
Cournot, Antoine A.      335
Cubists      467
Curve, equation of      167Ч168 170Ч173
Dante      122 183
Darwin, Charles R.      428
de Morgan, Augustus      144
De Prospettiva Pingendi      132
Declaration of Independence      125 329Ч330
Deduction      26Ч30 44Ч45
Deduction in science      242
Deferent      83
definitions      42 (see also УUndefined conceptsФ)
Deism      262 264Ч265
Delia Pittura      132
Democracy      236 328Ч332
Derivative      221
Desargues, Girard      146Ч148 150Ч151 158
Descartes, Rene      104Ч107 109 124 148 159Ч172 177 181 184 187 213 214 226 236 239Ч241 244Ч245 252Ч253 258 262 275 282 382 452
Determinism      254Ч255 259 320Ч321 376Ч393
Dialogue on the Two Chief Systems of the World      124
Dictionary, JohnsonТs      273
Diderot, Denis      265
Differential equation      223 309 320 336 465
digit      13
Diirer, Albrecht      133Ч136 143 350
DIMENSION      180
Diophantus      63
Discourse on Method      163 171
Discourses and Mathematical Demonstrations Concerning Two New Sciences      195
Displacement current      309Ч310 (see also УElectromagnetic wavesФ)
Donatello      132
Donne, John      122
Doubling the cube      50Ч51 458
Dryden, John      274 277Ч279 281
Duccio      129Ч132
DТAlembert, Jean le R.      232 241 265
Eccentric      83
Economics      322Ч325 332Ч339 352Ч355 365
Eddington, Sir Arthur S.      229 466
Egyptian mathematics      14Ч17 36
Einstein, Albert      181 198 229 382 391 432 439Ч440 442Ч449 452 469
electricity      208 237 252 305Ч308 315Ч317 320
Electromagnetic induction      307Ч309 318
Electromagnetic waves      309Ч320 465
Electromotive force      306
Electrons      306 316Ч317
Elements of Euclid      40 42Ч49 54Ч55 81
ellipse      6 47 49Ч50 149Ч150 164
Ellipsoid      178Ч179
Emerson, Ralph W.      278
Empirical mathematics      22Ч27
Encyclopedic      265
Enlightenment      265
Epicycle      83
Eratosthenes      63Ч64
Ether      242 310 317 435Ч437 451
Ethics      269Ч271 323Ч327 339
Euclid      10 12 16 40Ч41 43Ч44 55 66 89. 139 143 144 165 183 187 204 232 271 389Ч90 410Ч414 422Ч423 428Ч429 433 444 452 456 УEuclidean УGreek
Euclidean geometry      10 42Ч48 53Ч58 74 81 93 107 126 140 144Ч145 147 164Ч165 168 172 178 251 389Ч391 410Ч411 416 427Ч430 443Ч444 451 454 468
Euclidean geometry and physical space      417Ч422 432Ч433 Euclid Greek
Eudoxus      40 80Ч81 83 212
Euler, Leonhard      228 232 291
Event      179Ч180 441Ч443
Faraday, Michael      306Ч307 309 318
Felicific calculus      326
Fermat, Pierre      163Ч165 170 177 181 214Ч215 217 226Ч228 236 360Ч361 363 369
Focus of a parabola      171Ч172
Fontenelle, Le Bovier de      275
force      187 191
Formula      185Ч186 206
Formula, fitted to data      351Ч355
Fourier, Joseph      287Ч288 296 300Ч301 303
Fourier, Joseph, theorem of      296Ч298 302Ч303
Fra Filippo      132
France, Anatole      358
Franklin, Benjamin      265
Frederick the Great      236
Free will      255Ч256 259 269 450
Freedom of press      124Ч125 236 869
freedom of speech      123 269
French Academy      274 288
Frequency of a trigonometric function      293 299
Frequency-modulation      313Ч314
Function      185
Function, periodic      291
Function, trigonometric      291Ч294 301
Galen      94
Galileo      78 95 97 101 105Ч109 120Ч123Ч124 182Ч195 196 198 207 211Ч213 214 217 236 240Ч241 252Ч253 258 262 275 320 342 382 384 388 395Ч396 399 452
Gallon, Sir Francis      355Ч356 385
Galvani, Luigi      306
Gamma rays      315Ч316
Gases, theory of      237 320Ч321 341 373Ч374 380
Gauss, Karl F.      199 396 413Ч415 418Ч419
Geocentric theory      82Ч85 111Ч112
Geodesic      419Ч421 444Ч115
Geographia      72Ч73
Germanic tribes      92Ч93
Gibbon, Edward      265Ч266
Gilbert, William      305Ч306
Giotto      129Ч132 140
Graph of statistical data      346Ч347
Graunt, John      343Ч344
Gravitation      6 95 197Ч206 208 211 236 252Ч254 316 324 384 388 391 428 434Ч435 439 445Ч446 449Ч452
Greek geometry      7 33Ч38 41Ч59 132 323 427 Euclidean
Halley, Edmond      197
Hamilton, Alexander      330
Hamilton, Sir William      229
Hartley, David      338
Harvey, William      207 238
Heat, theory of      207Ч208 237 252 385
Heliocentric theory      111Ч125 183 188Ч189 212 258 428 431
Helmholtz, Hermann      v 310
Henry, Joseph      306Ч307 309
Heredity      365Ч366
Heron      62Ч63 184
Hertz, Heinrich      311 319
Hilbert, David      397
Hindu mathematics      15 93 240
Hipparchus      63 67Ч72 82Ч84 89 112 212 291 452
Hire, Philippe de la      147 151
Hobbes, Thomas      243Ч246 252 255 265Ч266 323 328 338
Hogarth, William      143
Holbach, Baron Paul H. dТ      238 253 267
Hume, David      248Ч250 258 265Ч266 324 328
Huygens, Christian      97 109 184 236 244 253 258 275
Hyperbola      6 47 49Ч50 149Ч150 164
Hypercurve      180
Hyperplane, equation of      177Ч178
Hypersphere, equation of      177
Index of Prohibited Books      123 236
Indirect measurement      67Ч73
Induction      25Ч28
Industrial Revolution      332 341
Inertia      187 190
Infinite quantities, theory of      5 (see also УNumber infiniteФ)
Infra-red rays      315Ч316
Inquisition      123Ч124 235
Instantaneous rate of change      216Ч224 247
Insurance      341 358 365Ч368
James I      234
Jeans, Sir James      229 466
Jefferson, Thomas      265 329Ч330
Johnson, Samuel      246 273 277 279
Jonson, Ben      122 183
Kant, Immanuel      238 249Ч251 271 323 410 413 427Ч428
Keats, John      282
Kelvin, Lord      13 256 310
Kepler, Johannes      4 78 85 95 97 101 105 112Ч123 196 212Ч213 236 258 304 320 323 342 383Ч384 386 388 390Ч391 452 469
KeplerТs laws      114Ч115 204Ч206 216 223 285 383Ч384 390
Kronecker, Leopold      397
Lagrange, Joseph L.      159 209 213 232 241 255 258
Lamb, Charles      282
Lambert, Johann H.      134
Language, abstract      273
Language, abstract, mathematical      8 176Ч177 239Ч240
Language, abstract, of science      241Ч242
Laplace, Pierre S.      210 213 241 255 258 266Ч267 359 369
Law      463Ч464
Laws of motion      190Ч195 202Ч203 228 236 252 316 319 324 390 451
Lecky, William E. H.      427
Legendre, Adrien M.      241
Leibniz, Gottfried W.      164 184 214Ч215 217 231Ч232 236 230Ч241 247 253 256 258 261Ч262 269 274 287 382 396
Length      437Ч438 451
Length, absolute      439Ч440
Length, local      439Ч440 448
Leonardo da Vinci      4 99 105 127 133 135 141Ч142 350
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