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Kline M. — Mathematics for the Nonmathematician
Kline M. — Mathematics for the Nonmathematician

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Название: Mathematics for the Nonmathematician

Автор: Kline M.

Аннотация:

Mathematics has its own beauty if you can look at its big picture. Just a few books can draw on your mind this broad picture. So "Mathematics for the Nonmathematician" is the one that you've come to expect to observe mathematics story in its entirety and beauty. Some parts of the book, i.e the notion of derivative, have been made clear in plain English even better than ordinary college textbooks. So written almost 50 years ago, this book still retains its freshness. So why don't you become the one who understands mathematics even better?


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1967

Количество страниц: 657

Добавлена в каталог: 13.04.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\pi$      12 68 156
Aaboe, Asger      186
Abbott, E.A.      279
Abel, Niels Hendrik      27 120
Abscissa      256
Abstraction      15 30
Acceleration      294 342 352
Acceleration in sinusoidal motion      427
Acceleration, centripetal      350 352
Acceleration, instantaneous      365 ff.
Adams, Oscar S.      186
Addition of ordinates      442 ff.
Advancement of Learning      283
Aesthetics      24 550
Age of Reason      24 f. 240 411
Air, motion of      438 ff.
Al-Khowarizmi      19
Alberti, Leone Battista      216 229 509
Alder, Henry L.      521 540
Alexander the Great      17 153
Alexandria      17 ff. 136 153
Alexandrian Greeks      see "Greeks"
Alexandrian Library      154
Algebra      12 17 22 52 253 255 478
Algebra as language      94 ff.
Algebra of logic      495 f.
Algebra of sets      491 ff.
Algebra, modular      487 ff.
Algebraic transformations      102 ff.
Almagest      19 158 161 192
Amplitude      424
Analogy      40 f.
Analysis      24
Analytic geometry      see "Coordinate geometry"
Analytical Theory of Heat      446
Anatomy      202 214
Angle, critical      180
Angle, exterior      127
Angle, interior      127
Antiderivative      389
Apollonius      18 19 142 148 155 329
Approximation      71
Arabs      19 ff. 27 57 96 194 198 200
Archimedes      18 ff. 155 228 329 455
Architecture      37 f.
Area      129 131 366
Area by integration      394 ff.
Aristarchus      327
Aristotle      15 19 47 149 194 200 228 282 286 307
Arithmetic      12 20 30 52 58 199 478
Arithmetic mean      502 f.
Arithmetic, modular      484 ff.
Armitage, Angus      362
Ars Magna      203
ART      see "Mathematics as an art" "Music" "Painting"
Associative axiom      76 f. 479 483 492
Astrology      14 199
Astronomy      13 ff. 18 23 85 124 155 157 171 188 199 253 289 326 see "Ptolemaic
Athens      15 17
Atomic weight      88 ff.
atoms      88 ff.
Augustine, Saint      1 9 198
Average      82 f. 502
Avogadro, A.      88
Axioms      16 26 50 75 126 541
Axioms of Euclid      126 f. 452
Axioms of physics      324 see "Newton's "Parallelism"
Babylonia      12 ff. 17 31 45 61 68 85 96 118 171 188 199
Bacon, Francis      1 23 280 283
Bacon, Roger      205
Ball, W.W. Rouse      29 93 122 152 186 208 414
Barrow, Isaac      336 368
Base      61 85
Baseball arithmetic      481 ff.
Baumgardt, Carola      362
Bell, A.E.      305
Bell, Eric T.      29 56 249 362 414 477 498
Benade, Arthur H.      451
Bernoulli family      24 437
Bessel, Friedrich Wilhelm      456
Binoculars      181
biology      26 83 499 526 see "Eye"
Blunt, Anthony      230
Bohm, David      540
Bolyai, John      452 456
Bonner, Francis T.      91 305 362 480
Bonola, Roberto      477
Boole, George      495 f. 498
Born, Max      540
Boyle, Robert      281 284
Boys, C.V.      152
Brahe, Tycho      206 327
Brianchon, Charles J.      242 245
Bronowski, J.      556
Brown, Lloyd A.      186 435
Brunelleschi      215
Bum, E.A.      305 363
Bunim, Miriam      230
Bury, J.B.      556
Butterfield, Herbert      305 363
Byzantine Empire      19 21 198 200
Cajori, Florian      208
Calculus      24 242 253 336 365
Calculus of variations      24
Calculus, history of      409 ff.
calendar      13 124 157 199
Camera      182
Cannizzaro, S.      88
Cantor, Georg      462 474
Cardan, Jerome      22 27 119 203 205 208 255 522
Carnot, L.N.M.      243
Carslaw, H.S.      477
Caspar, Max      363
Casting out nines      488 ff.
Catholic Church      20 198 206
Cauchy, Augustin Louis      411
Cause      282 f.
Cavalieri, Bonaventura      410
Cavallini      210
Cesalpinus, Andrew      204 283
Chamberlin, W.      186
Chasles, Michel      242
Chemistry      89 ff. 155 480
Childe, V. Gordon      29
China      12
Christianity      19 f. 194 198 206 227
Cimabue      210
circle      129 156 241 254
Circle, equation of      262 f.
Clagett, Marshall      57 195
Clark, Kenneth      230
clock      254 416 433
Cohen, I. Bernard      305 363
Cohen, Morris R.      57 540
Cole, Rex V.      230
Colerus, Egmont      93 122 414
Columbus, Christopher      136
Commutative axiom      76 f. 483 492
compass      21 201
complex numbers      26
Computers      86 ff.
Condensation      439
Cone      241
Congruence      129
Congruence, arithmetic      484 ff.
Conic sections      142 ff. 241 255 see "Hyperbola" "Parabola"
Construction problems, famous      148
Coolidge, Julian L.      57 230
Coordinate geometry      22 242 250
coordinates      257 308
Copernicus, Nicolaus      21 192 206 253 326 551
Correlation      516 ff.
Cosine      159 ff.
Courant, Richard      152 498
Crombie, A.C.      208 306
Cross ratio      238 247
Curve fitting      511 ff.
Curve of an equation      269 ff.
Curvilinear motion      307
Cylinder      156
Cylindrical surface      465
D'Alembert, Jean le Rond      24 411 437
da Vinci, Leonardo      202 ff. 208 215 225 229 509
Dalton, John      88
Dampier-Whetham, W.C.D.      195 208 306 363
Dantzig, Tobias      93
David, Edward E., Jr.      451
Davis, Philip J.      93
de Fermat, Pierre      1 22 182 240 242 250 252 255 257 277 368 522
de la Hire, Philippe      242
De Magnete      283
de Mere, Chevalier      522
De Prospettiva Pingendi      223
de Roberval, Gilles P.      239
de Santillana, Giorgio      363
Decimal system      85
Deduction      30 41 128
Deductive method      45 ff. 128 150
Deetz, Charles H.      186
Deferent      192 327
definitions      51
della Francesca, Piero      216 229
Della Pittura      216
Derivative      375
Desargues, Girard      234 ff. 239 242 244 246 248
Descartes, Rene      22 f. 176 205 240 242 250 255 257 273 277 284 288 368 476 495 523 543
Description versus explanation      288
Dialogue on the Great World Systems      333
Dialogues Concerning Two New Sciences      285 307
Dido, problem of      135
Differential equation      24
Differential geometry      24
Differentiation      376
Dimensions, four      275 ff.
Dimensions, three      273 ff.
Diophantus      18
Direct equation      308
Directrix      142 f.
Discourse on Method      240 252
Discourses and Mathematical Demonstrations Concerning Two New Sciences      285
Dispersion of data      503 ff.
Displacement      418
Distributive axiom      78 103 483
Donne, John      202
Drake, Stillman      363
Dreyer, J.L.E.      195 363
Duality      242 ff.
Duccio      210 ff.
Duerer, Albrecht      216 ff. 509
Dunnington, G.W.      477
Durrell, Clement V.      477
Earth, acceleration of      350
Earth, circumference of      136 165
Earth, density of      348
Earth, distance from moon      171 f.
Earth, shape of      352 366
Earth, volume of      348
Eastern Roman Empire      see "Byzantine Empire"
Easton, Stewart C.      208
Eclipse      7 174
Economics      7 24 26 33 476
Egypt      12 ff. 17 31 45 68 96 118 153 171 188 199
Einstein, Albert      90 549
electricity      25
Electromagnetic waves      25 see
Elements of Euclid      17 125 142
ellipse      142 f. 222 241 253 271 328 334
Ellipse, equation of      272 f.
Ellis, Havelock      556
Energy      33 90
Enlightenment      see "Age of Reason"
Epicycle      192 327
Equation of a curve      258 ff.
Equations, first degree      107
Equations, higher degree      119 ff.
Equations, linear      107
Equations, quadratic      107 ff. 112
Equations, second degree      107 ff. 112
Equations, solution of      106 ff. 255
Equator      165
Equilibrium position      418
Equivalent figures      129
Eratosthenes      136 154 157
Error curve      507
Escape velocity      401 ff.
Essay on Conic Sections      239
Ethics      24 476
Euclid      17 f. 19 125 142 154 155 200 228 329 453
Euclid Vindicated from All Defects      455
Euclidean geometry      17 f. 25 123 149 159 193 247 281 395 452
Eudoxus      17 125 190
Euler, Leonhard      24 411 437
Eves, Howard      29 93 152 414
Evolution, Theory of      452
Experimentation      4 40 283
Exponents      96 ff.
Extrasensory perception      537
eye      181 f. 234
Factoring      104
Farrington, B.      195 306
Ferrari, Lodovico      119
Fletcher, Harvey      451
Focus      142 ff.
force      33 193
Force of gravitation      326 341
Force, centripetal      353
Foreshortening      213 221
Formula      287 ff. 291
Fourier's theorem      446 ff.
Fourier, Joseph      445 f. 555
FRACTION      62 ff.
Frank, Philipp      477
Frequency distribution      507
Frequency distribution, binomial      533 f.
Frequency distribution, normal      507
Frequency of sinusoidal motion      425
Freund, John E.      521 540
Function      23 290
Function, linear      299
Function, periodic      422
Function, quadratic      300
Fundamental tone      448
Gade, John A.      363
Galen      156 204 282
Galilei, Galileo      23 ff. 205 240 251 254 283 306 307 325 332 334 343 363 390 412 436 499 547 549
Galois, Evariste      27 120
Gamow, George      93 477 540
Gases      155
Gauss, Karl Friedrich      25 27 455 549
Genetics      83 f. 526
Geocentric theory      see "Ptolemaic theory"
Geographica of Eratosthenes      157
Geographica of Ptolemy      158
Geographical explorations      200
Geography      157 f. 332
Geometry      12 17 24 32 36 123 199 see "Euclidean "Non-Euclidean "Projective
Geometry of Descartes      253 f.
Geometry, four-dimensional      275 ff.
Germanic tribes      20 197
Ghiberti      229 509
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