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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
Gibbon, Edward      2
Gilbert, Wm.      283
Giotto      213
Goethe, Johann Wolfgang      2
Goldbach, Christian      46
Graunt, John      500
Gravitation      294 326 336 341 360 407
Gravitation, law of      341 547
Great circle      169 254
Greek art      37
Greek science      21 138 153 171 176 187 281 288
Greeks      2 14 21 23 27 31 46 58 68 96 123 148 153 187 200 203 205 213 250 452 468
Gunpowder      21 201
Haldane, E.S.      279
Hall, A.R.      363
Halley, Edmond      336 338 436 500
Hamilton, Edith      57
Hardy, G.H.      556
Harmonics of a musical sound      448
Harrison, John      433
Harvey, Wm.      204 283
Heat      24
Hebrews      14
Heliocentric theory      21 23 253 326
Hellenistic world      see "Greeks"
Heron      139 155
Hexagon      241
Hilbert, David      25
Hindus      see "India"
Hipparchus      18 f. 21 158 161 165 170 190 282
Hippias      125
Hippocrates      125
Hofmann, J.E.      208
Holton, Gerald      91 306 325 363
Hooke's law      417 429 547
Hooke, Robert      254 284 338 417 433 436 440
Huff, Darrell      521
Huygens, Christian      254 284 352 368 433 436
Hyperbola      142 f. 222 241 253
Hypersphere      276
Idealization      38 f.
Ideas of Plato      34 ff.
Increment      374
Indefinite integral      389
India      12 19 27 61 72 96 200
Indirect method of proof      128
Induction      40 ff. 45
Inertia      see "Mass"
Infinite series      24
infinity      236 f.
Instant      368
Instantaneous      367 ff.
Instantaneous rate of change      367 ff.
INTEGER      58 ff.
integral      389
Integral as a limit      404 ff.
Integration      389
Intersection of sets      492
Interval of time      368
Invariant      238 247
Ionia      47 188
Irrational numbers      65 ff. 124
Isotope      89 f.
Ivins, Wm. M., Jr.      231 249
Ivins, Wm.M., Jr.      231 249
Johnson, Martin      231
Jones, Burton W.      93
Kant, Immanuel      476
Kasner, Edward      414 540
Kepler's laws      328 ff. 334 355 513 548
Kepler, Johannes      21 192 206 253 283 326 549
Koyre, Alexandre      363
Kuhn, Thomas S.      196 363
Lagrange, Joseph Louis      24 411 437
Langer, Susanne K.      498
Language of mathematics      94 ff.
Laplace, Pierre Simon      24 522 540
Latitude      166 ff.
Law      476
Lawson, Philip J.      231
Legendre, Adrien Marie      24
Leibniz, Gottfried Wilhelm      24 206 240 242 281 366 368 375 406 410 495
Length of curve      366
Lens      181 f. 202 254 284
Leonardo da Vinci      see "Da Vinci"
Levinson, Horace C.      540
Life insurance      500 529
Light      2 16 24 138 144 155 193 202 215 254 284 469
Light, reflection of      138 f. 144 179 381
Light, refraction of      4 155 176 254 381
Light, total reflection of      179 f.
Light, velocity of      176
LIMIT      372 404 409
Line at infinity      237
Line curve      245
Line, equation of      258 ff.
Lobachevsky, Nicholas I.      456 ff.
Logarithms      22
Logic      30 ff. 149 495
Logic, symbolic      495 f.
longitude      158 165
Lorenzetti, Ambrogio      213
Loudness of a sound      448
Luther, Martin      201
Mac Curdy, Edward      208
Magnetism      25
Manning, H.A.      279
MAP      169 254
Mariotte, Edme      284
Martini, Simone      210
Mason, S.F.      363
Mass      33 340
Mass of earth      347
Mass of Sun      351
Mastery of nature      23 280
Mathematical creation      51 ff. 552
Mathematical logic      495 f.
Mathematical Principles of Natural Philosophy      336 ff. 360
Mathematics and engineering      23 ff. 110 155 475
Mathematics and human beings      27 f.
Mathematics and nature      16 150 187 205 208 329 359 412 462 471 479 497 542
Mathematics and science      5 ff. 21 23 46 110 411 462 473 547
Mathematics and science compared      33 ff. 110 473
Mathematics and superstitions      5
Mathematics and theology      2 199 331
Mathematics as an art      8 ff. 550
Mathematics, and art      8 37 209
Mathematics, and engineering      23 ff. 110 155 475
Mathematics, and human beings      27 f.
Mathematics, and nature      16 150 187 205 208 329 359 412 462 471 479 497 542
Mathematics, nature of      3 ff. 30 194 471 541
Mathematics, prehistoric      11
Matrices      26
Maxima and minima      131 ff. 317 366 382
Maxwell, James Clerk      25
Mazlish, B.      556
Mechanics      289
Median      502 f.
Medicine      155 f.
Medieval civilization      20 39 197
Medieval painting      210
Medieval science      198 ff. 281 288
Mendel, Gregor      526
Mendeleev, Dimitri Ivanovich      89
Mersenne, Marin      239 436
Method, of exhaustion      404
Method, of increments      372
Michelangelo      229 509
Microscope      202 254
Middle Ages      2 229
Miller, Dayton C.      451
MODE      502 f.
Mohammedans      see "Arabs"
Monge, Gaspard      242 f.
Moody, E.A.      306
Moon      335 344
Moon, distance from earth      171 f.
Moon, motion of      335 339 358
Moon, radius of      172 f.
More, Louis T.      364
Moroney, M.J.      540
Mortimer, Ernest      249
Motion      193 254 287 293 365 390 401
Motion of a bob on a spring      416 ff.
Museum of Alexandria      154 194
MUSIC      24 193 199 436
Musical instruments      445 447
Mydorge, Claude      239
n-dimensional space      26 275
Nagel, Ernest      57 540
Navigation      13 22 124 253 332 335 416
negative numbers      20 72
Neugebauer, Otto      29 57
Newman, James R.      364 414 498 521 540 556
Newton's laws of motion      293 f. 310 342 547
Newtonian mechanics      334 ff.
Nichomachus      18
Nicolo of Brescia      see "Tartaglia"
Noland, Aaron      415
Non-Euclidean geometry      25 f. 452
Normal probability curve      505 ff. 530
Novum Organum of Bacon      283
Number mysticism      59 f.
Number, concept of      12 f. 15 20 30 58
Ohm, George S.      447
Olson, Harry F.      451
On Burning Glasses      148
On the Lever      157
On the Motion of the Planet Mars      328
On the Revolutions of the Heavenly Spheres      327 332
Optics      see "Light"
Ordinate      257
Ore, O.      122 208 540
Origin      256
Oscillatory motion      417
Pacioli, Luca      200 f.
painting      21 204 209
Panofsky, Erwin      231
parabola      142 ff. 222 241 253 264 311 334
Parabola, equation of      265 ff.
Paraboloidal mirror      14 f. 147
Paragone of Leonardo      229
Parallelism      126 236 453
Parametric equations      309
Parsons, Edward A.      186
Parthenon      37
Pascal's triangle      533 f.
Pascal, Blaise      1 27 206 239 242 245 284 410 522 554
Pearson, Karl      501 517
Pendulum      254 417
Pensees of Pascal      240
Pentagon      134
Pepys, Samuel      2
Perimeter      131 ff.
Period of a bob      432
Periodic motion      416 ff.
Periscope      181
Perspective      210 ff. 232
Perspective, focused      215
Perspective, optical      211
Perspective, terraced      210
Perspective, vertical      211
Phidias      37
Phillips, Melba      91 305 362 480
Philosophy      7 21 24 47 124 252 475 545 see
Photograph      234
Pierce, John A.      451
Piero della Francesca      see "Della Francesca"
Pitch      448 ff.
Plato      2 17 30 32 48 50 125 199 228 476 543
Playfair, John      453
Poincare, Henri      25 27 477 556
Point at infinity      236 f.
Point curve      245
Political theory      7 24 26 33 476
Polyclitus      35 f.
Polygon      134 see "Quadrilateral" "Rectangle" "Square" "Triangle"
Polyhedron      130
Poncelet, Jean Victor      243 f.
Pope Julius II      227
Poseidonius      136 157
positional notation      20 61 85
Poundal      340
Praxiteles      37
Precession of the equinoxes      358
Prediction      548
Premises      41 ff.
Primary and secondary qualities      285 f.
Prime numbers      46
Principle of least time      183 254
Printing      22 201
prism      180
probability      26 240 253 522
Projectile motion      22 f. 201 254 284 310 338 366 381
Projection      216 ff. 232 419
Projective geometry      21 232
proof      39 ff. 45 53
Protestant Revolution      22 201
Provincial Letters      240
Psychology      24 537
Ptolemaic theory      158 191 326
Ptolemy, Claudius      18 ff. 21 155 158 161 165 170 190 200 228 282
Ptolemy, Egyptian dynasty      154 f.
Pyramids of Egypt      13
Pythagoras      17 59 65 68 228
Pythagorean Theorem      65 f. 161
Pythagorean triples      65
Pythagoreans      34 59 65 125 188 436
Quadrangle      244
Quadratic formula      116 f.
Quadrilateral      134 244
Quadrivium      199
Qualitative knowledge      156 282
Quality of a sound      448 ff.
Quantitative knowledge      156 288
Quetelet, L.A.J.      501 509
Radian      423
Radio      25 147
Raisz, E.      186
Randall, John H., Jr.      208 289 306 556
RANGE      316 321
Raphael      227 ff.
Rarefaction      439
Rate of change, average      367 ff.
Rate of change, instantaneous      367 ff.
Reasoning      3 ff. 15 39 149 see
rectangle      131 ff.
Rectangular Cartesian coordinate system      257 274
Redfield, John      451
Refraction      176
Regular polyhedra      129
Reichmann, W.J.      521 540
Relativity, theory of      90 470
Religion      21 34 59 206 331 see "Christianity"
Religion and painting      210 ff.
Renaissance      2 20 202 209 248
Republic of Plato      32
Resonator      448
Rest position      418
Rheticus, George Joachim      551
1 2 3
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