√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
Wells D. G. Ч You are a mathematician: a wise and witty introduction to the joy of numbers
Wells D. G. Ч You are a mathematician: a wise and witty introduction to the joy of numbers

„итать книгу
бесплатно

—качать книгу с нашего сайта нельз€

ќбсудите книгу на научном форуме



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


Ќазвание: You are a mathematician: a wise and witty introduction to the joy of numbers

јвтор: Wells D. G.

јннотаци€:

As the title suggests, Wells expects readers to do more than passively absorb the information he presents in this insightful survey of fundamental mathematical concepts. Dozens of illustrative brainteasers challenge readers to flex their own mathematical muscles as they read about the feats of the discipline's superstars, from Euclid to Euler. (It may console readers defeated by the harder puzzles to learn that giants such as Descartes, Leibniz, and Gauss have published erroneous work and that some centuries-old conundrums continue to vex and confound the best contemporary mathematicians.) But besides introducing us to fascinating personalities, Wells explains how a mathematician probes for a solution or constructs a proof, why a mathematician cannot use the same tools as a scientist, and why humans still outperform computers in perceiving hidden geometric relationships. For the nonmathematican looking for a helpful and entertaining guidebook to the wondrous world of numbers, here it is.


язык: en

–убрика: ћатематика/

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

ed2k: ed2k stats

√од издани€: 1997

 оличество страниц: 424

ƒобавлена в каталог: 31.10.2010

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
blank
ѕредметный указатель
$\pi$      90Ч92 312 314
'Prime number race'      55 176
Abel      323
Aeneas      338
Analogy      50Ч51 92 138 195
Angle in semicircle      103
Angles, of polygons      5
Angles, of triangle      4
Apollonius      122Ч123 228
Appel, Kenneth      233
Approximation      125 127Ч129 281 311Ч312
Archimedean screw      258
Archimedes      50 228 258 262 271
Aristotle      228 265 347Ч350 363
Arnauld      305
Arnol'd, V.I.      314Ч316
Arrows, bundles of      59
Atiyah, Michael      69Ч70
Aurifeuille      93Ч94 170
Average      85 183 202
Babylonians      41 103 242
Bacon, Francis      202 318
Baker, H.F.      90
Ballot problem      212
Barlow, Peter      231
Bars and joints      3
Barycentre      22
Barycentric calculus      134
Batting paradox      304
Ben Moses, Rabbi      210 340
Bernoulli, Jakob      258
Billiard      360Ч362
Birkhoff, G.D.      360
Borders, between countries      73
Bourbaki, Nicolas      318
Bracket sequences      212
Breath      302
Brianchon's theorem      122
Brick      171
Brocard, Henri      116
bubbles      210Ч211 355Ч356
Buckminsterfullerene      65
Buffon's process      see Chapter 13
Buffon, Count      372
Cannonballs      59 225 294
Capablanca      94Ч95
Capture-recapture      205 288
Cardan's spur wheel problem      177
Cardano, Girolamo      123Ч125 128 170 267
Cauchy, A.L.      64 232
Cayley, Arthur      144 211 232Ч233 330 363
Cellular automata      146Ч149 152 320
Centre of gravity      7 9 13 20 136 202 260 262 271 331
Centre, of triangle      9Ч13
Centroid      see "Centre of gravity"
Ceva's theorem      20 137
Chain of theorems      19
Chemistry      144Ч145 293
Chess      82 230Ч231 237 247
Chia H'sien      123
Chocolate      205
Chou Pei Suan Ching      242
circle      27 122 131Ч134 184 186 190 195 203Ч204 223Ч224 282Ч283
Circle, Euclidean theorems      102Ч110
Circle, rectangle inscribed in      344
Circles, common tangents      172Ч173
Circles, concurrent      17Ч18 106 108Ч109
Circles, rolling      176Ч178
Circles, touching      110
Circumcentre of triangle      11 13
circumcircle      16Ч17
Class number problem      59Ч60 307
coin tossing      213 229
Combinations      82
Combinatorics      211
complex numbers      122Ч123 126 133 187Ч188 249 324
Computer      157 233 236 312
Concurrent lines      6 8 11 19 315
Constant chord      107
Conway, John Horton      154Ч155
coordinates      87
Copernicus, Nicholas      87
Crystals      64
Cube, geometrical      60 79 141 169 173 235 300 355 389 391
Cubes, sequence of      32 237
Cubes, Sums of      30
Cubic equation      123Ч125 127Ч131 175 258
Cuboctahedron      387
Darts      303
Deer eruption      291
Definition      67Ч68
Deltoid      176Ч178
Desargues' theorem      120 170 173
Desargues, Gerard      118 236
Descartes, Rene      131 225 231 236 306
Determinant      258
Dice      123 286
Dido, Queen      338
Differential equation      219 221Ч222 288Ч290
Diophantos      101 123 139 257
Directrix      218
Dissection      248 256 300
Divergent series      323
divisors      55
dodecahedron      60 63 80 141Ч142 319
Dodecahedron, small and great stellated      66Ч67
Draughts      82 230
Driver, fireman and guard (puzzle)      99
Dual theorems      119 122
Dutchmen and wives (puzzle)      98
Dyson, Freeman      318 330
Economics      87 291Ч292
Einstein, Albert      276 293
ellipse      118 121 185Ч186 215Ч220 224 361
Ellipse, parallelogram inscribed in      345
Eratosthenes      262
Errors      131Ч132 206 231Ч233
Estimation      205 281
Etten, Henry van      298Ч299
Euclid      69Ч70 228 244Ч245 247 257Ч258 306
Euclidean geometry      82 102 117
Euler characteristic      80
Euler line      14
Euler's formula for product of four squares      250Ч251
Euler's quadratic formula      58 307
Euler's relationship      60Ч61 63 65 67Ч68 170 222 233
Euler, Leonhard      54 58 88Ч91 93 95 143 176 187 202 231 285 314 316 323 349
Factorials      56Ч57
Factorization      313
Fagnano, G.F.      356Ч357 360
Families, decay of      285Ч286
Fermat numbers      53Ч54
Fermat point      22 309 352Ч353 356 406
Fermat's last theorem      101 187 232Ч233
Fermat's little theorem      42 229
Fermat, Pierre de      37 53 98 100Ч102 123 131 139 231 236 306 348Ч350 360
Ferrari, Ludovico      123
Feuerbach, K.W.      316
Feynman, Richard      345 349Ч350 363
fibonacci      see "Leonardo of Pisa"
Flow      220Ч222
Flying fish      284
Focus      218 220
Football      79
Four numbers problem      409Ч413 415Ч416
FourЧcolour conjecture      233 315
Framework, rigid      2Ч3 62 147
Frenicle, B.      53
Fuhrmann circle      117
Galileo Galilei      271Ч276 283 292Ч293 350
Galton, Francis      284Ч286
Game of life      154Ч157
Gaoler puzzle      237
Gas diffusion      213
Gauss, C.F.      93 98 231
Generalization      182 187
Generating series      285Ч286
Geodesic dome      62 65
Go      82Ч83 230
Graph theory      139 144
Grazing animals and food      290Ч291
Greek cross      171Ч172
Greek mathematicians      176
Group      192Ч194 232Ч233
Groups, sporadic finite      318
Guarini      189
Guidobaldo del Monte      271
Guthrie, Francis      233
Haken, Wolfgang      233
Halmos, Paul      233Ч234
Hamilton, William Rowan      141Ч142 250Ч251 349
Hamiltonian circuit      141 190
Hamming, Richard      234
Hampton Court      139
Handcuff      303
Hardy, G.H.      30 82 90 230 297 323
Helmholtz, Hermann      349
Hermite, C.      58 322
Heron      345Ч347 348Ч349 356 363
Heron's formula      310
Hersh, Reuben      316
Hessel      65
Hilbert, D.      69Ч70
Hippasus      71
Hird, Alison      301
Hobson, E.W.      90 94Ч95
Homologous parts      50
Huxley, T.H.      49Ч50
Huygens, Christiaan      314
Hydrostatics      258
Hyperbola      117 215Ч220 224
icosahedron      80
Icosian game      141
Incentre of triangle      12Ч14 18
Induction, scientific      49 51
Interpretation      see "meaning"
Irrational number      311 315 363
Isomorphic problems      206
Japanese mathematics      258
Jeans, James      302
Jigsaw      205
Jordanus      265Ч266
Julius Caesar      302
Kac, Mark      176
Kanada, Yasumasa      312
Kasparov, Garry      88
Kepler, Johannes      66Ч67
Khayyam, Omar      123
Kiepert's hyperbola      117
Kirkman, Thomas      141
Knight's Tour      143
Koch's snowflake curve      73Ч74
Koenigsberg      143
L shape      264 331Ч337
LADDER      262Ч264
Ladies' Diary, The      208
Lagrange, J.L.      293 349
Lame, Gabriel      187 232
Landry, F.      54 93 170
Langley's adventitious angles      298
Le Lionnais, Francois      317 322
Leaning Tower of Pisa      276
Least action, principle of      349
Least time, principle of      348
legendre      55
Leibniz      129 231 258 322 348
Lemoine points      117
Leonardo da Vinci      243 265 267
Leonardo of Pisa      40 248 251
Levers      258 262 264 270
Lhuilier, S.A.J.      64 170Ч171
Limit point      290Ч291
Lincoln Index      206 281Ч282 288
Littlewood, J.E.      55
Loomis, Elijah S.      242
Lotka, A.J.      286
LotkaЧVolterra equation      288Ч291
Lucas, Eduard      94 170 236
MacLane, Saunders      69Ч70
Magic square      231
Mandelbrot set      319
MAP      61
Mascheroni, Lorenzo      337
Mathematical Intelligencer, The      315
Mathematicians, pure and applied      85
Matzumoto      232
Maupertuis, P.L.M. de      349
Maximum      210 338Ч345
Maxwell, James Clerk      221
Maze      139Ч140
Meaning (interpretation)      69 88 96 130 133 152 174 323
Mechanical interpretation      135
Mechanics      50 258 271
Mersenne primes      236
Mersenne, Marin      236
Method of (infinite) descent      43 100Ч101
Miniature world      95 116 122 330
Minimum      175 346Ч360
Mobius, August      134
Mohr, Georg      337
Moments      270
Morgan, Augustus de      168 233 323Ч324
Morley's theorem      22
Morley, Christopher      297
Morley, Frank      297
Mozart, Wolfgang Amadeus      94
Muller, Johannes      202
Nagel point      117
Napoleon's Theorem      22 181 234 330 405Ч407
negative numbers      125 305
Network, shortest      14
Neuberg circle      117
Newton, Isaac      52 129 231 293 314 348 372
NineЧpoint circle      15 316
NonЧEuclidean geometry      223Ч224
octahedron      60 169 386 388
Odd perfect numbers      305
Olber's paradox      283
Optics      346
Oresme, Nicholas      87 363
Orthocentre      6 9 13 15 25
Ozanam, Jacques      207Ч208 299 372
Ozone layer      293
Pappus Of Alexandria      117 265 339
Pappus' theorem      117 119
parabola      50 130 174 224 274Ч275 284 294
Paradox      297 304Ч305
Paraffin      144Ч145
Parallel rule      333
Parallelogram of forces      270
Pascal's theorem      121Ч122
Pascal's triangle      123 150Ч154 238
Pascal, Blaise      118 123 236 305
Path, shortest      345Ч349
Pedal triangle      357
Pendulum dock      273
Penrose, Roger      104 318
Pentagonal numbers      36 91
Perpetual motion      267
Phillips, Hubert      99
1 2
blank
–еклама
blank
blank
HR
@Mail.ru
       © Ёлектронна€ библиотека попечительского совета мехмата ћ√”, 2004-2019
Ёлектронна€ библиотека мехмата ћ√” | Valid HTML 4.01! | Valid CSS! ќ проекте