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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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Предметный указатель
Offside 336—337 340 344—345 348 354—355 369—370 Omar 42 72 109 138 188 262 ON 336—338 353 On-the-Rails 406—407 ONAG = On Numbers and Games 18 22 48 52 78 117 139 144 188 193 225 234 236 262 278 298 454 One-for-you, Two-for-me, ... 319 One-upmaiiship Rule 242 Ono 355—357 Onside 336—337 340 344—347 354—355 369—370 Oof 355—358 open 382 384 390—391 408 410 Option 14 154 155 Option, best 303 Option, dominated 62 63 75 77 149 Option, Left 31 32 Option, loopy 408 Option, non-loopy 389 Option, questionable 387 Option, reversible 60 62—64 70 71 75 77 387 Option, Right 31 32 Option, suicidal 317 327 Option, worthwhile 213—215 Optional extras 84 Ordinal numbers 329 Ordinal sum 220 Outcome 28 35 Outcome of sum 31 32 Outcome, classes 28 84 Outsider 286 289 Over 341 353 Overheating 174 176 187 366 overriding 312 314 319 326 Pairing Property, Ferguson's 86 442 Pairs, restive and tame 425 Pale twig 344 Parity 73 234 Parity Principle 191 194 parody 286 Parted jungle 201 202 209 Particles 168—170 Partizan 15 65 187 292 295 312 376 PASS 281 283 284 286 289 292—294 Patently cold and hot 307 Patently loopy 376 391 Paths = tracks 193 202 204 222 Patience = Solitaire 15 Paul Wolfgang J. 226 Pawns 89 Peek 224 Peg Solitaire 15 Pencil-and-paper game 1 Penfield, Wilder 414 periodicity 90—94 99 101 109 113—15 117 236 292 310 Periodicity, arithmetic 99 113—117 144 187 Periodicity, Dawson's Chess 90—91 Periodicity, Domineering 144 187 Periodicity, Eatcakes 289 291 Periodicity, Guiles 94 Periodicity, Kayles 91 92 Periodicity, octal games 101 103—105 107—109 113—115 Periodicity, subtraction games 84 86 Periodicity, ultimate 99 101 112 289 Petal 33 47 66 67 199 201 240 245 344 Phase change 167 168 Phase change, latent 168 Picture 1 2 192 Picture of farm life 145 146 Piebald node 47—48 Piebald spot 145—147 Pink twig 344 Placing plumtrees 354 Plambeck, Thane E. 454 Play 334 Play, misere 15 278 282 284 286 287 291 293 312 Play, normal 12 14 278 279 281 282 284 286 287 291 293 300 312 Player, first 28—30 Player, second 28—30 Playing the averages 167 173 Ploy, Blue Flower 199 201 240 242 Ploy, Blue Jungle 201 210 Ploy, Red Jungle 210 Plumtrees 352 354 357 Poker 15 Poker-Nim 53 Policy, Temperature 124 125 131 132 Polyominoes 139 142 POSITION 14 Position, 279 381—384 408 410 439 Position, 382 384 390—391 408 410 Position, 279 381—385 408 410 411 416—417 419—424 426 431—432 443 Position, active 149 150 Position, ajar 408—410 Position, closed 408—410 Position, cold 301 304—306 322 Position, Domineering 120 121 139 142 144 153 177 Position, fickle 413 423—424 429 432 444 Position, firm 413 423—425 429 432 Position, fuzzy 28 32 33 Position, Goldbach 382 Position, hot 149 304 Position, loony 322 397 407 Position, loopy 389 408 Position, negative 28—30 68 Position, positive 28 68 Position, starting 14 Position, sunny 397—398 401—404 Position, tepid 306 Position, terminal 41 Positive charge 263 Positive house 38 Positive house and garden 33 Positive positions 28 68 Positive posy 29 30 33 Predecider 312 320 321 Pretending 421 439 445 Prim 98 404 442 Principle, Bogus Nim-heap 56 Principle, Colon 191 193 194 220 355 Principle, Complimenting Move 405 Principle, Death Leap 127—130 135 Principle, Enough Rope 16 Principle, Fusion 192—195 Principle, Gift Horse 72 77 Principle, Parity 191 194 Principle, Star-Shifting 250 258 Principle, Translation 149 153 158 Principle, Uppitiness Exchange 246 Problems, hard 223 224 Profit 161 Profit-consciousness 171 Program cycle 316 Projective 430 proof 115 147 148 165 166 183 188 201 212 213 216 217 220 221 224 236 240 248—250 256—259 340 348—350 370—373 408 435 442—443 Proviso, Endgame 416—417 Prunning plumtreees 354 PSPACE-complete 224 226 PSPACE-hard 224 Purchasing contract 127 Purple mountain 198 199 Pursuit 15 298 Quadruple Kayles 99 Quantity beats quality 201 Quarter-infinite board 284 292 293 312 Quarter-move 6 91 20 Quotation marks = eccentric cases 231 232 Rademacher, rado, radon 371 Rapid join 286 289 Rare values 110—112 Reader, assiduous 42 Reader, assiduous, more mathematical 362 Reader, assiduous, persevering 90 Reader, assiduous, skeptical 130 Real number line 24 Rectangles 25—27 142 234 236 Red edges 2 198 230 237 Red tinted nodes 48 204 Red twig 213 Red-Blue Hackenbush 446 also Redwood, bed 211 213 217 222 Redwood, furniture 211 217 222 Redwood, tree 214—217 Redwood, twig 213 216 references 18 52 78 117 144 188 225 262 298 377 412 454 Reflexion of nim-values 109 Reisch, Stefan 226 Remote Horse 278 281 283 Remote Star Test 246 248 249 Remoteness 173 279 281—284 286 289 295 315 317 Remoteness, even 279 282 Remoteness, horse's 281—284 292 Remoteness, infinite 381—382 Remoteness, Left 279 281—283 Remoteness, misere 281—284 Remoteness, normal 279 Remoteness, odd 279 282 Remoteness, Right 279 281—283 Remoteness, rules 279 281 Remtoe star 230—232 236 237 239 240 243—251 258 259 Replication of nim-values 98 Resetting the thermostat 185 Restive 414 425—426 432—438 Restless 414 432—435 443 Reversible moves 55 56 60 62—64 66 70 71 75 77 126 212 415 Reverting moves 425 Right 2 Right, boundary 154—156 164 169 170 Right, excitable 158 159 Right, remoteness 279 281—283 Right, slant 158 159 Right, stop 149 150 152 163 Right, tally 301 302 304 310 314 317 Rip Van Winkle's Game = Kayles 82 Ripening plums 354 Rita 25 51 234 284 289 300 308 Robertson, Edward 226 Round the world 381 Roundabout 327 369 380 Rule, Atomic Weight 242 Rule, Berlekamp's 77 78 Rule, C.A.B.S. 388—393 Rule, Difference 74 404 Rule, Downsum Absorbancy 361 Rule, Flow 201 202 204 210 Rule, Go-dialects 16 Rule, Ineqality 348 349 Rule, loony addition 399 Rule, Mex 56 418 Rule, Misere Mex 418 Rule, Misere Nim 418 Rule, Misere Play 15 279 281 413 Rule, misere remoteness 279 281 Rule, Nim-Addition 59 60 73 74 390 418 Rule, Normal Play 12 14 278 279 Rule, One-upmanship 242 Rule, remoteness 279 281 Rule, Restricted Translation 261 Rule, Simplicity 22 24 25 27 39 45 48 304 305 307 314 317 Rule, Smith's 388—389 392—393 Rule, suspense 287 303 Rule, Tally 304 305 315 316 326 Rule, Two-Ahead 199 200 242 246 249 Rule, With 256 257 Rule, Without 256 257 Rule, Wythoff's Difference 74 404 Ruler function 98 Rules 14 Rules Li's loopy Hackenbush 344 Saltus 99 114 117 144 187 Sarsfield, Richard 79 Saskatchewan landscape 157 Sato's Maya Game = Welter's Game 427 Scale, Grundy 87 90 91 94 96 101 Schaefer, Thomas J. 109 118 224 226 227 Schaeffer, Jonathan 18 Schaer, Jonathan 43 Schuh, Fred 118 Scissors-Paper-Stone 15 Scrap-heap 391—392 Seasoned campaigner 164 Seating Boys and Girls 132 133 179 261 310 366 Seating Couples 44 45 95 132 133 261 Seating Families 95 261 Second cousin 101 103—105 107 109 114 116 Second player wins 28—30 Select Boys and Girls 310—311 Selective compound 299 300 302 312 396 Selective compound, shortened = severed 312 Sente 161 188 Set, empty 82 399 Set, subtraction 84 86 442 Set, variation 220 221 Seven-up 218 225 Severed head 205 220 221 312 Severed selective compound 312 Sex, opposite 132 261 Shaki, Ahiezer, S. 377 Shatter 380 She-Loves-Me, She-Loves-Me-Not 67 262 She-Loves-Me, She-Loves-Me-Not, e.g., 05 109 114 116 273 She-Loves-Me-Constantly, e.g. 51 101 103 Shifting by stars 250 258 Shifting infinitesimally 177 198 Short hot games 225 Short-sighted view 159 160 Shortened selective = severed 312 Shortlist 303 304 317 Sibert, William L. 454 Side 336—337 340—341 344—348 350 354—356 369 Sidling 338—342 346 350 365 371—375 Sidling Theorem 340 371—373 SIGN 348—351 373 Silber, Robert 79 Simplest form 19 22 71 370 Simplest number 19 21 22 305 307 314 Simplicity Rule 22 24 25 27 39 45 48 304 305 307 314 316—317 Simplifying games 60 62 63 75 77 Singleton 413 Sipser, Michael 224 226 Sisyphus 346—348 Ski-Jumps 7 9—11 14 15 19 27 40 Skittles 81 Slant, right = correct 163 Slash 6 163 366 slashes 130 163 366 Sliding jungles 199 220 221 Slipper 9 Slow horses 286 288 289 Slow join 286—291 300 302 Small 36 38 229—232 234 236—240 242—251 253 254 256—259 261 262 Smith Theory 333 395 Smith's Rule 388—389 392—393 Smith, Cedric Austen Bardell 89 96 99 109 117 118 278 298 312 388—389 391—393 417 454 Snakes 40—42 240 Snakes-and-Ladders 14 386 Snort 47 145—147 149—151 153 154 156—158 161 167 168 177 180—183 224 Snort, dictionary 147 180—183 Snort, lemmas 180 Solitaire 15 Spades 359 Span-length 194 195
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