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Berlekamp E., Conway J., Guy R. — Winning Ways for your mathematical plays.Volume 2.
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Название: Winning Ways for your mathematical plays.Volume 2.Авторы: Berlekamp E., Conway J., Guy R.Аннотация: In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the second edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure.
In Volume 3, the authors examine Games played in Clubs, giving case studies for coing and paper-and-pencil games, such as Dots-and-Boxes and Nimstring.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Издание: 2ndГод издания: 2003Количество страниц: 215Добавлена в каталог: 04.11.2014Операции: Положить на полку |
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Hotstrat 188 House and Garden 33 House of Cards 357—361 Illegal 320 322 404 Imminent jump 9—11 Impartial 15 40 56 82 84 196 220 291 330 379 396 Impartial, Cutcakes 284 292 294 Impartial, Domineering = Crosscram 142 144 298 Impartial, horse-moving 283 289 Impartial, infinite tolls 314 315 317 319 320 326 Impartial, remoteness 296 Incentive 147 148 256—259 Incomparable 35 Induction 115 234 Inequalities for stoppers 351 Inequality Rule 348—349 Infinite delphinium 47 Infinite, ender 329 Infinite, geranium 47 Infinite, Hackenbush 327 332 344 Infinite, Nim 330 Infinite, ordinal numbers 329 Infinite, repetition 14 384 Infinite, Smith theory 333 Infinite, tolls 315—320 325—326 Infinitesimal 36 169 170 171 173 229 Infinitesimally close 151 152 154 Infinitesimally shifted 177—179 198 Infinitesimally small 158 infinity 329 334 391 Inglis, Nick 51 Ink, waste of 382 integral 167—174 176—179 334 366—367 Intermediate Value Theorem 426—438 Interval, confusion 121 149—151 158 163 Invoices and cheques 126 Irregular values 90—92 101 108 187 Ish = Infinitesimally-SHifted 177—179 198 Jelly Beans = 52 428 444 Jimmy 387—391 413 Johnson, David S. 217 224 226 Join 277—298 300 Join, rapid 286 289 Join, slightly slower 283 Join, slow 286—291 300 302 Joker 358 Jumpee 11 Jumper 9 Jungle warfare tactics 210 Jungle, clearing 222 Jungle, green 198 201 220 221 Jungle, parted 201 202 209 Jungle, sliding 199 Jungle, smart game in 209 Jungle, tracking 204 Jungle, unparted 210 Kano, M. 118 Kao Kuo-Yuen 188 Karp, Richard M. 217 224 226 Kayles = 77 15 81 82 89 91—93 95 99 110—112 417 424 Kayles Dawson's = 07 90 93 95 101 109 438 444 Kayles Double 99 Kayles Misere 431—432 Kayles Quadruple 99 Kayles Triplicate Dawson's 271 Kenyon's Game 116—117 Kenyon, John Charles 109 115 118 Kindervater, G.A.P. 384 412 King's Horses, All the 277—283 286—289 292 293 King's Horses, Some of the = Falada 312 King, Kimberley 222 Kite strategy 243 244 246 Knight 278 Knight, White 56—59 278 Knuth, Donald 18 51 Kriegspiel 15 L-game 384 408 412 Lacrosse 15 Lasker's Nim 99 113 114 Lasker, Edward 99 118 Last cut 294 Last home 286 289 Last horse 286 289 Last mouthful 289 Last move 171 Last player losing 446 Last player winning 2 9 12 14 Latent heat 132 307 Latent loopiness 375 391 Latent phase change 168 Lateral thinking 384 412 Left 2 Left, boundary 154—156 164 165 169 170 Left, excitable 158—159 Left, remoteness 279 281—283 Left, stop 149 150 152 161 Left, tally 301 302 304 310 314 327 Lefty 25 51 234 284 289 300 308 Leg 211—213 215 222 Lemma, Norton's 220 243 244 354 Lemon Drops = 56 428 444 Let them eat cake 289 Li Shuo-Yen, Robert 343 373 377 Li's Rules 344 Lichtenstein 224 226 Life 15 53 Lightning bolts 50 Line, real number 24 lo 355—356 Lollipops 237 238 240 Long periods 109 Loony 322 397—407 Loopiness 361—363 Loopiness, blatant 391 Loopiness, degree of 360 Loopiness, latent 375 391 Loopiness, patent 376 391 Loopy component 390 410 Loopy game 327 334—377 396 Loopy Hackenbush 343—345 Loopy option 410 Loopy position 389 408 Loopy value 387 389—391 Lose slowly! 278 Losing, last player 413—446 Lost World 413—414 Loyd, Sam 82 118 Lucky star 246 249 Ludo 14 15 Lukewarmth Commandmant 307 310 M-plicate 98 Making tracks 204 Management of cash flow 126 Many-way Maundy Cake 220 221 MAP 38 145 Mark, 4.24: Matthew 13.12 405 Markeert, D. 225 markup 161 Markworthy Commandment 317 Mast 152 154 163 Mast value = mean value 165 166 Mattress 215 Mauhin, Patrick 27 Mauldon, James G. 79 Maundy Cake 26 27 51 196 220 221 MAX 288 Maxim 278 279 287 Maximal flow 202 204—206 209 Maya Game, Sato's = Welter's Game 427 Mean value 149 151—154 165—168 172 174 178 Mex = minimum-excludant 56 418 Milnor, John 188 Milton, John 19 145 Minimal criminal 194 214 Minimal spanning tree 217—224 Miny 126—129 353 Misere, birthdays 417 Misere, Cutcakes 284 292 294 Misere, Eatcakes 289 291 Misere, Grundy's Game 416—420 Misere, Kayles 431—432 Misere, Nim 413 Misere, octal games 443—445 Misere, play 15 86 278 281 282 284 286 287 291 293 312 413 Misere, remoteness 283 Misere, suspense 289 Misere, theory 415—419 Misere, unions 312 Misere, Wyt Queens 427 Mistake, inevitable 382 mixed 335 Moews, David 52 188 224 money 171 Monopoly 15 Moore's Nim 427 Moore, Eliakim Hastings 427 Morra, Three-Finger 15 Morris, Lockwood 225 Mountain, purple 198 199 Moves 14 40 Moves, abnormal 325 Moves, alternating 46 47 Moves, bonus 405 Moves, chance 14 Moves, complimenting 379 405—407 Moves, consecutive 405 Moves, entailing 379 396—405 Moves, equitable and excitable 161 Moves, five-eights of a 20 Moves, good 16 196 397 Moves, half 4 19 20 Moves, horse 406 Moves, hotter 173 Moves, illegal 320—322 404 Moves, legal 404 Moves, loony 397—407 411 Moves, non-entailing 397—398 400 Moves, non-suicidal 322 Moves, normal 325 Moves, overriding 312 314 317 319 320 326 Moves, pass 281 283 284 286 289 292 293 294 338 352 355 Moves, predeciding 312 320 321 Moves, quarter 6 20 Moves, repainting 343 Moves, reversible 55 56 60 62—64 66 70 71 75 77 126 212 213 415 Moves, reversible misere 415 Moves, reverting 425 Moves, suiciding 312 320 Moves, sunny 397—401 404 407 411 Moves, temperature-selected 132 Moves, three-quarter 17 Moves, trailing 402 Moves, worthwhile 213—216 Mrs. Grundy 310 Mueller, Martin 18 188 Multiples of up 71 242 247 256 258 Multiples, fractional and non-integral 236 Munro, Ian 226 Musical series 96 117 Negative 28 Negative charge 254 negative numbers 19 147 148 330 Negative of a game 33—35 Negative positions 28 Neyman, A. 117 NIM 15 40 42 53 55 56 114 173 191 240 387 454 Nim in hot games 173 Nim, Chinese = Wythoff's Game 427 Nim, Double Duplicate 114 Nim, Duplicate 114 116 Nim, Entailing 400 Nim, Goldbach's 401 Nim, Hilbert 333 Nim, infinite 330 Nim, Lasker's 99 113 114 Nim, misere 413 Nim, Poker 55 Nim, Triplicate 114 116 Nim, two-dimensional 332—333 Nim, Welter's 427 Nim-addition 58 59 73 74 90 109 110 116 191—196 199 246 390 418 Nim-heaps 41 42 56—59 82 389 393 413 418—424 426 430 434 436 Nim-heaps, ambivalent 426 Nim-heaps, bogus 56 57 Nim-position 41 388 413 425—426 Nim-sequence 82 84 86 87 94 98 99 101 103—105 107—109 113 114 116 Nim-sum 59 73 74 82 90 91 109—112 Nim-values 82 84 86 87 90—96 98 99 110—117 191—196 387—408 410—411 425—426 442 Nim-values, addition 390 Nim-values, doubling 94 Nim-values, duplication 94 98 99 114 116 444—445 Nim-values, halving 195 Nim-values, periodic 84 86 91 92 94 98 99 101 103—105 107—110 112—117 Nim-values, reflected 109 Nim-values, relevant 396 Nim-values, replication 98 Nimbers 40—42 56 57 65 74 84 110 119 199 200 231 258 262 397—401 405—406 418 Nimbers, adding 42 58 Nimbers, infinite 330 No Highway 364—367 Noah's Ark theorem 423 432—435 443 Nodes, Col 47—51 Nodes, explosive 49—50 Nodes, game positions 42 341—343 354—358 369—370 Nodes, Hackenbush 191—194 201 202 204 222 Nodes, Snort 147 180 Nodes, tinted 204 206 208—210 222 Nodes, untinted 204 209 210 Non-number 147 148 159 160 Normal move 325 Normal play 12 14 278 279 281 282 284 286 287 291 293 300 312 Northcott's Game 55 Norton, Simon P. 145 168 188 220 243 244 247 256 354 Noughts-and-Crosses = Tic-Tac-Toe 14 Novice 382 NP-complete 217 224 226 NP-hard 224 225 Number Avoidance Theorem 147—149 183 Number system, Hackenbush 78 Number system, tree and line 24 Numbers 22 119 300 314 Numbers, canonical form 22 Numbers, infinite ordinal 329 Numbers, overheated 176 Numbers, simplest 19 21 22 305 307 314 Numbers, Surreal 18 Numbers, suspense 286—289 292 294 315 317 Numbers, thermographic thicket of 176 Numbers, triangular 254 Numbers, whole 19 Nutcrackers, impossible 379 O'Beirne, Thomas H. 79 118 454 Obtuse triangle 254 Octal games 101 103—105 107—116 267 443—445 Odd 279 281 282 287 303 305 307 314 317 Odd admits! 306 Odious numbers 110 OFF 336—340 353 355—358 Off-Wyth-Its-Tail 402 Officers = 6 95 439—440 444
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