√лавна€    Ex Libris     ниги    ∆урналы    —татьи    —ерии     аталог    Wanted    «агрузка    ’удЋит    —правка    ѕоиск по индексам    ѕоиск    ‘орум   
blank
јвторизаци€

       
blank
ѕоиск по указател€м

blank
blank
blank
 расота
blank
Kasner E., Newman J. Ч Mathematics and the Imagination
Kasner E., Newman J. Ч Mathematics and the Imagination

„итать книгу
бесплатно

—качать книгу с нашего сайта нельз€

ќбсудите книгу на научном форуме



Ќашли опечатку?
¬ыделите ее мышкой и нажмите Ctrl+Enter


Ќазвание: Mathematics and the Imagination

јвторы: Kasner E., Newman J.

јннотаци€:

Explores some of the lesser known and more imaginative aspects of mathematics, such as the googolplex, four-dimensional geometry, puzzles, paradoxes, the laws of chance, rubber-sheet geometry, and the historical development of calculus. Originally published by Simon and Schuster in 1940.


язык: en

–убрика: ћатематика/

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

ed2k: ed2k stats

√од издани€: 2001

 оличество страниц: 400

ƒобавлена в каталог: 21.04.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
blank
ѕредметный указатель
$\pi$      41Ч42 49 50 61 66Ч67 71 72 74 75Ч79 89 109 110 111 246 247
Abbott, Edwin Abbott      128 363
Abel, Niels Henrik      17
Absolute rest      24
Absolute zero      24
Acceleration      301 326 342Ч343
Achilles and the tortoise paradox      37 38 57Ч58 62
Advanced Calculus      298
Ahrens, Wilhelm Ernst Martin Georg      189 191 363
Air-raid casualties, statistics of      262Ч263
Alcuin      159
Aleph-null      45 54
Alephs      45 46Ч47 62 63
Alexander of Macedon      343
Algebraic equations with integer coefficients      6 49 64 71 79 84 109 111
Algebraic invariant      298
Algebraic numbers      49 50 110
Alte Probleme Ч Neue Loesungen      219
American Journal of Mathematics, The      178 191
American Mathematical Monthly      363 364
Amusements in Mathematics      189
Analysis situs      266 271Ч274 287
Analytic Theory of Probability      240
Analytical geometry      95Ч99 103 120Ч123 305 306 314
Analytical Theory of Heat, The      254
Annals of Mathematics      191
Anthropology, statistics in      260Ч261
Anti-snowflake curve      348Ч351
Apollo      71
Apollonius      12 13
Applied mathematics      114 116 150 151
Approximation, methods of      318 333Ч334 336Ч337
Arabs      17 185
Arago, Dominique Francois Jean      190
Archimedean number (see $\pi$)      75
Archimedes      33Ч34 69 74 310 331
Architecture of the Universe, The      367
Area under a curve      335Ч339
Argand, Jean Robert      100
Aristotle      62 117 213 230Ч231
Arithmetic      28 43 46 68 81 92 300 341
Arithmetic fallacies      208Ч211
Arithmetic tricks      163Ч164
Arithmetical progression      82
Arrow in flight paradox      37 38Ч39 58Ч60 62 301 321
Aspects of Science      367
Augustine, Saint      112 150
Axiom, reducibility      63 218 221
Babylonians      190
Bachet, Claude-Gaspard, Sieur de Meziriac      157
Ball, Walter William Rouse      189 190 191 219 221 363
Banach and TarskiТs theorem      205Ч207 219
Banach, Stephen      205Ч207 219
Barrow, Isaac      323
Beethoven, Ludwig van      362
Bell, Eric Temple      142 363
Beltrami, Eugenio      142
Bergson, Henri      65 108
Berkeley, George, Bishop      40
Bernoulli, James      240
Binary notation      165Ч173
Binomial theorem      249Ч251 264
Bismarck, Otto Edward Leopold, Prince von      177
Black, Max      363
Bliss, Gilbert Ames      363Ч364
Bolsheviks      8
Boltzmann, Ludwig      95 258
Bolyai, Johann      118 135
Bolzano, Bernhard      39 40Ч42
Bom belli, Raphael      91
Booth, John Wilkes      236
Bouton      191
Boyle, Robert      257Ч258
Bridgman, Percy Williams      84 364
Briggs, Henry      81 84
Brouncker, William, Viscount      78
Brouwer, Luitzen Egbertus Jan      37 221 291 292 298
BrouwerТs problem      287Ч291
Brownian movement      24Ч25
Budget of Paradoxes      79 261 365
Buergi, Jobst      110
Buffon, George Louis Leclerc, Count de      110 246Ч247
Cabalists      269
Cajori, Florian      81 298 355 364
Calculus      299Ч343
Calculus of probability      228 229 230 238Ч251 252 253
Calculus, differential      14 75 299 310 322Ч329 330 341
Calculus, integral      75 299 310 329Ч342
Camera, Primo      23
Cantor, Georg      39 41 42Ч57 62 63 194 364
CantorТs diagonal array      52Ч53
CantorТs paradox      43 44
CantorТs theorem      43Ч44 55
card tricks      163
Cardan, Girolamo      91 168
Cardinal numbers      64
Cardinal of the continuum      53 55
Cardinality      44 45 46 48 49 54 55
Carlyle, Thomas      39
Carroll, Lewis      61
Carslaw, Horatio Scott      364
Casting out nines      164Ч165
Catenary      107
Catherine II of Russia      265
Catherine of Aragon      236
Cauchy, Augustin Louis, Baron      14
Cavalieri, Bonaventura      332
CavalieriТs theorem      332
Cayley, Arthur      118 156 186 298
Centroid      340
Ceulen, van, Ludolph      75
Chaldeans      28
Chance      223Ч264
Chance, calculus of      239Ч251
Chance, Love, and Logic      264 367
Change      300 301 302 304 321
Charlemagne      157 159
Chaucer, Geoffrey      3
Chess      32Ч33 68 115 173 222
Chinese      90
Chinese ring puzzle      169
circle      10Ч14 17 41Ч42 66Ч67 73 78 80 277 278 279 280 282 310Ч312 337 343Ч344
Circle, squaring of the      12 65 66Ч69 71Ч79 109 331
Class of all classes not members of themselves      216Ч217
Classes      28Ч31 42Ч58 61 62 63 120 132 151Ч152 154 216Ч217
Clausius, Rudolf Julius Emmanuel      258
Clebsch, Rudolf Friedrich Alfred      298
clock      14
Co-ordinates      96Ч99 102 120 121 122 123 314
Coat and vest problem      286Ч287
Coefficients of an equation      109Ч110
Cohen, Morris Raphael      137 150Ч154 224 264 364
Colerus, Egmont      155
Collected Scientific Papers (of P.G. Tait)      191
Combinations      242Ч244
Combinatorial analysis      242 243
complex numbers      95 101Ч102 103 210
Complex plane      101Ч102
Compound interest      86Ч87 111
Compound probability      248Ч251
Comte, Auguste      67
Condorcet, Marie Jean Antoine Nicolas, Marquis de      253Ч254
Confessions (of St. Augustine)      150
Congruence      126 202 204 205 206 219
Conic sections      17 107
Connectivity, nonsimple      279Ч283 284
Connectivity, simple      276Ч277 281 282 283 290
Continued fractions      75 78 85Ч86
Continuum      53 55 56 58
Continuum, cardinal of the      53 55
Contributions to the Founding of the Theory of Transfinite Numbers      364
Convergence of a series      64 69 70 109
Cooley, Hollis Raymond      364
Cosine      355Ч356
Countable classes      45 47 49
Counting      27 28Ч30 34
Courant, Richard      364
Course of Pure Mathematics, A      365
Craig, John      261
Creative Evolution      108
Cretans      62Ч63 221
Crime of Sylvester Bonnard, The      189
Crisscross curve      353Ч355
Cryptograms      233Ч235
Cubic equation      17
Cubit      173 191
Curtate cycloid      200
Curvature      28 147Ч148 328
Curves of error      257Ч260
Curves, anti-snowflake      348Ч351
Curves, catenary      107
Curves, circle      10Ч14 17 41Ч42 66Ч67 73 78 80 277 278 279 280 282 310Ч312 337 343Ч344
Curves, clock      14
Curves, crisscross      353Ч355
Curves, curtate cycloid      200
Curves, cycle      11Ч13
Curves, cycloid      196Ч200
Curves, ellipse      17
Curves, hyperbola      17
Curves, nonsimply-connected      7 281
Curves, parabola      17 106Ч107 308 330 331
Curves, patho-circle      13
Curves, pathological      343Ч355
Curves, prolate cycloid      198Ч199
Curves, simply-connected      7 276Ч282
Curves, snowflake      344Ч350
Curves, space-filling      352Ч353
Curves, tractrix      141 142 143
Curves, turbine      9Ч10
CYCLE      11Ч13
Cycloid      196Ч200
da Vinci, Leonardo      362
Dampier, William, Sir      259 260
Dantzig, Tobias      111 264 364Ч365
Darwin, Charles Galton      264
Dase, Johann Martin Zacharias      77
Davis, Watson      25
De Moivre, Abraham      103
de Morgan, Augustus      79 228 261 365
Decimal notation      164 165 166 167
Decimal, nonterminating      51Ч53 64 167
Dedekind, Richard      41
Deductive method      232
Definite integral      339Ч341
Delphic oracle      71 157
Denumerable classes      45 49 50
Denumerably infinite classes      45 49
Dependent variable      314 315 316 321
Derivative      14 111 322Ч329 341Ч342 356
Descartes, Rene      65 95 96 290 306 359
Diagonal proof, CantorТs      52Ч53
Dice      237 239 244 245
Dichotomy Paradox      37Ч38
Die Paradoxien des Unendlichen      40
Differential and integral calculus      364
Differential calculus      14 75 299 310 322Ч329 330 341
Differentiation      5 322Ч323 325Ч326 341 342
DIMENSION      119Ч121
Diophantus      187
Discriminant      298
Divergence of a series      109
Doughnut      281 282 287
Doyle, Arthur Conan, Sir      263
Drawing cards from a pack      237 243Ч244
Dresden, Arnold      191 365
Dtirer, Albrecht      185
Dudeney, Henry Ernest      189
Duodecimal notation      190
Duplication of the cube      12 66 68 71Ч72 109
Dyadic notation      165Ч173
dТAlembert, Jean le Rond      246
e      49 50 66 80 84Ч86 87Ч88 89 110 111
Eddington, Arthur Stanley, Sir      23 32 131 154 365
Egyptians      8 17 66 74 167
Einfuhrung in das mathematische Denken      219
Einstein, Albert      22 23 29
Elementary Mathematics from a Higher Standpoint      366
Elements      9Ч10 151Ч152 154
Elements (of Euclid)      4 108 113
Elements of Non-Euclidean Plane Geometry and Trigonometry      364
Elements of the Differential and Integral Calculus      365
ellipse      17
Ellipsoid      147
Encyclopedie      246
Enriques, Federigo      365
Epimenides paradox      62Ч63 221
Equations, algebraic      6 298
Equations, cubic      17
Equations, quadratic      17
Equations, quartic      17
Equations, quintic      17Ч18
Equations, with integer coefficients      6 49 64 71 79 84 109 111
Equiprobability      241Ч242 248 251
Error, probability curve of      257Ч260
Essai philosophique sur la probabilite      264
Euclid      4 62 69 108 113Ч114 115 134 135 137Ч140 143 147Ч150 187 192 271 304
Euclidean geometry      116 134 137 138 139 140 143 149 150
Euclidean manifold      123Ч124
Euler, Leonhard      85Ч86 92 93 103 156 185 265Ч268 269 290Ч291
EulerТs theorem      266Ч268 290Ч291
Evolution      6 93
Existence      61Ч62 63
Exponential function      88Ч89 111 300 342
Exponents      82 110
Factorial      111
Fallacies, arithmetic      208Ч211
Fallacies, geometric      211Ч213
Fallacies, mathematical      207Ч213
Falling bodies      316Ч321 326Ч328 342Ч343
Fermat, Pierre de      68 156 187 188 239Ч240 306
FermatТs Last Theorem      68 187Ч188
Finite classes      43
Finite numbers      19 22 23 32Ч33 47 63
Flatland Ч A Romance of Many Dimensions      128 363
Flaubert, Carolyn      158
Flaubert, Gustave      158
Formalists      62 222
Forsyth, Andrew Russell      154
Foundation of Physics      154
Foundations of Science, The      367
Four-color problem      287Ч291
Four-dimensional geometry      93 113 115 116 118 119 124 300 359
Four-dimensional manifold      123Ч124 154
Fourier, Jean Baptiste Joseph      254Ч255
Fourth dimension      116 117 118 119 124 125 127Ч128 130 131
Fourth Dimension Simply Explained, The      366
Fractions, continued      75 78 85Ч86
Fractions, rational      48
France, Anatole      189
Franklin, Benjamin      186
Frege, Gottlob      218
Function      5 14 304 309 312Ч316 318Ч327 332
Function, exponential      88Ч89 111 300 342
Function, monogenic      14
Function, one-valued      64
Function, polygenic      14
Function, trigonometric      355Ч356
Functions of a real variable, theory of      201
Fundamental Concepts of Algebra and Geometry      154 368
Galileo      41 198 252 365
1 2 3
blank
–еклама
blank
blank
HR
@Mail.ru
       © Ёлектронна€ библиотека попечительского совета мехмата ћ√”, 2004-2017
Ёлектронна€ библиотека мехмата ћ√” | Valid HTML 4.01! | Valid CSS! ќ проекте