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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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Eatcake = Bynum's Game 136 234 289 Eatcakes 234 286 289—292 295—297 308 Eccentric cases of atomic weights 231 232 237 239 249 251 Economy, underlying 151 Edges 40 43 135 345 Edges, bLue and Red 2—6 29 30 77 198 201 230 237 329 343 Edges, grEen 29 30 33 40 41 190—196 198—202 204—206 210 211 218 220 221 225 237 251 330 Edges, pink and pale 343—344 Electric charge 251 253 254 Empty set 82 399 Ender 329—330 Endgame 416 Ending condition 14 35 46 47 329 Engames, Go 187 Enlarged flow 204 311 Enough Rope Principle 16 Entailing 379 396—405 Equally favorable 35 Equally uppity 242 245 Equitable 157—161 169—172 Eternal games 46 379 Even 279 281 282 287 Even, evicts 306 Even, Shimon 224 225 Even, timer 303 305 307 314 317 Evil = even 287 307 Evil numbers 110 Ex-Officers Game = 06 101 103 445 490 Exactly periodic 86 Exceptional values 90—92 101 108 Excitable 157—161 169—172 Excluded tolls 306 Excluded values 111 Exemptions, tax 151 Explosive nodes 49 50 Exponential-time algorithms 224 Extended thermograph 161 162 Extras 14 46 73 101 134 180 220 255 292 325 369 408 442 Fair Shares and Unequal Portions 380 394 Fair Shares and Varied Pairs 379 410 Fairy chess 117 Fairy tale 312 Falada 312—314 319—321 325—326 Favorite 262 278 282 284 289 Ferguson's Pairing Property 86 Ferguson, Thomas S. 86 117 430 454 Fickle 413 423—425 429 432 434 Field 145 312—314 325—326 Fifth column 411 Fine Print 126 Finicky figures 323 Finishing line 407 Firm 413 423—425 429 432 First, bite 323 First, cousin 101 103—105 107 109 114 116 First, eaten strip 295 First, home 278 283 320 322 First, horse stuck 281 First, off 312 First, one-by-one cake 284 First, player wins 28—30 First, strip 295 fit 22 251 fixed 335 Flanigan, James Allen 377 445 FLOOR 51 75 311 Flow 202 204—206 208 209 222 Flow rule 201 202 204 210 Flow, cash 126 Flower 29 30 33 35 36 47 66 67 190 195 199—201 210 230 240 242 245 246 364 Flower garden 190 199 229 230 240 Flowerbed 242 244 246 Flowerstalk = stem 36 Foot 211 212 Ford, Lester R. 205 212 225 Forging 389 Form, canonical 22 Form, simplest 22 Form, standard 101 103—105 107—109 114 Formula, Cooling 151 Foundations for thermographics 155 Fox-and-Geese 15 Fractional atomic weights 234 236 Fractional, multiples 256 Fraenkel, Aviezri 18 78 224 226 412 free 335 Freezing point 154 168—172 French Military Hunt 15 Frogs see "Toads" Fulkerson, Delbert Ray 205 212 225 Function, ruler 98 Function, Steinhaus 279 Function, Welter 193 Furniture, redwood 211 212 213—217 222 Fusion 192—196 Fuzzy flowers 29 30 Fuzzy games 28—33 35 36 39 42 239 Fuzzy positions 28 32 33 Gale, David 117 Gallimaufry 68 75 Galvin, Fred 253 Galvinized games 253 254 Game with cycles 376 Game, Additional Subtraction 395 Game, Additional Subtraction, big 65 75 202 206 222 Game, Additional Subtraction, Bynum's = Eatcake 136 289 Game, Additional Subtraction, cheap 387 Game, Additional Subtraction, cold 145 299 300 307 316 317 Game, Additional Subtraction, comparisons of 35 Game, Additional Subtraction, compendium 109 387 Game, Additional Subtraction, compound 31 299 312 Game, Additional Subtraction, coolest 173 Game, Additional Subtraction, eating 136 234 286 289—292 295—297 Game, Additional Subtraction, entailed 379 396—405 Game, Additional Subtraction, equitable 157—161 169 170 172 Game, Additional Subtraction, eternal 46 379 Game, Additional Subtraction, excitable 157—161 169—172 Game, Additional Subtraction, fairly hot 307 Game, Additional Subtraction, Falada 320—321 Game, Additional Subtraction, finite 46 115 Game, Additional Subtraction, fuzzy 28—33 35 36 39 42 239 Game, Additional Subtraction, galvinized 253 254 Game, Additional Subtraction, Grundy's 15 96 112 310 434 439—440 444 Game, Additional Subtraction, half-tame 423 435—437 444 445 Game, Additional Subtraction, hard 211 217 223 Game, Additional Subtraction, hexadecimal 116 117 Game, Additional Subtraction, hot 125 133 145—174 176—185 187 225 300—308 316 326 Game, Additional Subtraction, hot and cold 307 Game, Additional Subtraction, impartial 14 40 56 82 84 196 220 281 283 284 289 291—294 296 297 330 379 396 Game, Additional Subtraction, impartial loopy 275 379—412 Game, Additional Subtraction, impartial misere 275 413 446 Game, Additional Subtraction, Kenyon's 116 117 Game, Additional Subtraction, L- 384 408 412 Game, Additional Subtraction, loopy 15 275 327 334—377 396 Game, Additional Subtraction, map-coloring 38 145 Game, Additional Subtraction, misere Grundy's 416—420 Game, Additional Subtraction, misere octal 443—445 Game, Additional Subtraction, negative of 33—35 Game, Additional Subtraction, Northcott's 55 Game, Additional Subtraction, octal 101 103—105 107—116 Game, Additional Subtraction, ordinal sum 220 Game, Additional Subtraction, partizan 15 65 187 275 292 295 312 376 379 Game, Additional Subtraction, reduced 446 Game, Additional Subtraction, restive 425—426 432—438 Game, Additional Subtraction, restless 432—435 443 Game, Additional Subtraction, Sato's Maya 427 Game, Additional Subtraction, short hot 225 Game, Additional Subtraction, simplifying 60 62 63 75 77 Game, Additional Subtraction, subtraction 84 86 87 98 395 430 442 Game, Additional Subtraction, switch 121—125 Game, Additional Subtraction, take-and-break 81 82 84 86 87 89—96 98 99 101 103—105 107—117 Game, Additional Subtraction, take-away 82 87 100 319 Game, Additional Subtraction, tamable 425 446 Game, Additional Subtraction, tame 417 422—438 443—446 Game, Additional Subtraction, tepid 306 308 316 327 Game, Additional Subtraction, tiniest 125 126 Game, Additional Subtraction, tracking 65 Game, Additional Subtraction, Welter's 427 Game, Additional Subtraction, wild 430 Game, Additional Subtraction, Wythoff's 15 60 74 427 Game, Additional Subtraction, zero 4 9 33 41 Game, birthdays 417 Game, identification 65 Game, locator 464 Game, reserves 414 Game, tracking 65 222 Garden 33 199 229 230 240 Gardner, Martin 18 52 144 298 Garey, Michael R. 217 224 226 gathering 354 Gauss, Karl Friedrich 254 Gee-up 247 Generalized Geography 224 GENERALIZED HEX 224 Generalized Kayles 224 Genus 422—446 Geranium 47 199 242 Gift horse 72 77 Gift Horse Principle 72 77 Gijlswijk, V.W. 384 412 Ginny 387—391 Giraffe 205—206 Glass of wine 379—380 Glass, magnifying 151 Go 16 18 161 187 188 224 226 Go-Moku 14 Godd 195 226 Godd's label 195 Goldbach position 382 Goldbach's Nim 401 Golden number 75 Goller, Nicholas E. 386 408 Good = odd 287 307 Good child 427 Good move 16 22 196 397 Good, Irving John 226 Goose Girl 312 Grafting plumtrees 354 Grantham, Stephen Brian 273 Graph 145—147 Graph, bipartite 217—224 Graph, spanning tree of 217 224 Graphic picture of farm life 145 146 Grass 40 42 199 240 242 Great Hall 372 Great-Aunt Maude 387 Greek letters, loopy 3 35 364 Green chain 40 Green edges 29 30 33 41 190—196 198—202 204—206 210 211 218 220 221 235 237 251 330 Green Girl 192 193 Green Hackenbush 39—42 190—196 225 Green jungle 198 199 201 220 221 193 Green snake 40 Green tinted nodes 204 Green trees 191—193 Greenwood trees 34 Grounding cycles 193 196 Grown-up picture 43 Grundy scale 87 90 91 94 96 101 398—399 406 Grundy Skayles 91 Grundy's Game 15 96 112 434 439—440 444 Grundy's Game misere 416—420 Grundy's Game wild animals 431 Grundy, Mrs. 310 Grundy, Patrick Michael 42 56 79 117 220 221 333 417 444 454 Guiles = 15 94 101 103 436 444 Guy, Richard Kenneth 18 89 99 109 117 118 144 Hackenbush 1—6 14 19 20 28 42 43 75 190—196 198—202 204—206 208—218 220—222 224 224 240 Hackenbush Hotchpotch 29 30 38 47 66—68 198—202 204—206 208—211 225 230 238 251 Hackenbush is hard 211 217 Hackenbush number system 78 Hackenbush picture 1 2 Hackenbush string 22 24 77 78 194 195 329 Hackenbush, Blue-Red 1 2 4—6 15 17 20 22 27 29—33 35 36 42 77 198 200 211—217 224 Hackenbush, Blue-Red, Childish 43 52 157 237 Hackenbush, Blue-Red, Double 343 Hackenbush, Blue-Red, Green 39—42 190—196 225 Hackenbush, Blue-Red, Infinite 327 332 344 Hackenbush, Blue-Red, Loopy 343 344 Half-move 4 7 9 19 20 Half-off 356 Half-on 356 Half-tame 414 423 435 444 Halving nim-values 195 Hanner, Olof 188 Hard game 211 217 222 223 Hard problems 223—225 Hard redwood bed 217 222 Hard-headed 179 Hardness 211 217 223 225 Harry Kearey 318 Hawaii 16 Head, animals' 205 Head, girl's 193 196 Head, losing your 222 Head, severed 205 220—222 Head, shrunken 220—221 heaps see also "Nim-heaps" Hearts 359 Heat 125 132 145 299 Heat, latent 307 Heating 167 173 Hereditarily tame 425 Heuristic discussion 158 159 HEX 226 Hexadecimal games 116 117 HI 355 356 Hickerson, Dean 51 Hierarchy 96 Higher ground 209 Highway 364 391 Hilarity 380 Hilbert Nim 333 Hillman, A.P. 79 Hockey 15 Hoey, Dan 112 Hoggatt, Vern E. 79 Holladay, John C. 118 Hollyhocks 36 HOME 277 280 281 286 289 320 322 386—387 Honest Joe 158 159 Horse 27 28 278 281—284 286 292—293 312 314 320 326 Horse, also-ran 286 Horse, favorite 278 282 284 289 Horse, gift 72 77 Horse, outsider 286 289 Horse, racing 288 Horse, remote 278 Horse, slow 286 289 Horse, working out 28 Horsefly 395 411 HOT 125 133 145 149 151 171 173 225 300 301 304 307 316 322 326 355—356 Hot battle 145 299—308 310 322 327 Hot coating 322 Hot component 299—300 Hot game 125 133 145 171 173 225 300 307 316 317 326 Hot position 149 304 Hot work 316 Hotcakes 299—304 Hotchpotch, Hackenbush 38 47 66—68 198—202 204—206 208—211 225 230 238 251
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