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Berlekamp E., Conway J., Guy R. — Winning Ways for your mathematical plays.Volume 2.
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Íàçâàíèå: Winning Ways for your mathematical plays.Volume 2.Àâòîðû: Berlekamp E., Conway J., Guy R.Àííîòàöèÿ: 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.
ßçûê: Ðóáðèêà: Ìàòåìàòèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Èçäàíèå: 2ndÃîä èçäàíèÿ: 2003Êîëè÷åñòâî ñòðàíèö: 215Äîáàâëåíà â êàòàëîã: 04.11.2014Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Spanning tree of graph 217 224 Sparse space 110—113 Species 435 Splitting the atom 234—236 Spoiler 161 Spot 145 146 391 Spots and Sprouts 95 Sprague, Roland Percival 42 56 79 220 221 333 Sprague-Grundy theory 56 118 220 221 333 Squandering Squares 254 Squares Off 319 Stability condition 363 Stage 392—395 Stalemate = tie 14 Stalk 29 30 Stalk = stem 67 Stalking = 31 429 444 Standard form 101 103—105 107—109 114 Star 34 39 47 48 65 68 69 120 121 125 155 156 190 229 261 Star, far 230—232 236 137 239 243—251 258 259 Star, lucky 246 249 Star, remote 230—232 236 237 239 240 243—251 258 259 Star, thermorgraph of 156 Star-Incentive Theorem 259 Star-Shifting Principle 250 258 Starting position 14 Startling value 39 Steingrfmsson, E. 117 Steinhaus function = remoteness 279 Steinhaus, Hugo 279 298 393 stem 36 47 67 199 201 210 230 240 242 Stockmeyer, Larry 224 226 227 Stop, Left and Right 165 166 Stopper 337 340—341 351—352 354 356—357 362 369—370 Stopping position 149—153 156—166 Stopping position value 149 153 173 Storer, James 224 Strategy 173 314 Strategy, Goller's 408 Strategy, kite 243 244 246 Strategy, stealing 406 Strategy, survival 371—373 Strategy, Swivel Chair 349 Strategy, symmetry 3 194 Strategy, thermostatic 158 163—167 183—185 188 225 Strategy, Tweedledum and Tweedledee 2 3 35 Strategy, winning 28 31 32 46 314 String, Hackenbush 22 24 77 78 194 195 329 Structure of periods 109 Subperiods of nim-values 109 Subselective compounds 396 Subtraction game 84 86 87 98 395 430 442 Subtraction set 84 86 442 Suicider 312 317 320 Sums of games 31 120 121 161 163 165 166 220 277 Sums of nimbers 42 Sums, eternal 46 Sums, galvinized 253 Sums, NP-hard 225 Sums, ordinal 220 Sunny positions 397—401 404 Superheavy atoms 333 Superstars 261 Surreal Numbers 18 Survival 348 371—373 413 Suspense 173 277 287 288 Suspense numbers 286—289 292 294 315 317 Suspense rules 287 303 Sweets and Nuts 393—394 410 switches 121—125 157 Swivel Chair Strategy 349 Sylver Coinage 15 Symmetry 51 T-move 165 184 Tails 396 402 404 Tait, Hilary 310 Take-A-Square 430 442 Take-and-break games 81 82 84 86 97 89—96 98 99 101 103—105 107—117 Take-away games 82 84 86 87 98 101 tally 300—326 Tally machine 308 316 318 Tally rules 304 305 308 315 316 325 326 Tame 417 422—438 443—446 Tameable 425 446 Tardy union 312 Tarjan, Robert Endre 224—226 Tax exemption 151—155 Temperature 124 125 131 151—155 164—173 184 185 231 Temperature, ambient 164 165 188 Temperature, critical 167—171 Temperature, policy 124—125 131—132 Tennis 15 Tentative tally 306 310 Tepid component 326 327 Tepid game 308 316 327 Tepid position 306 Tepid work 316 Terminal position 2 7 28 41 416 Test, Remote Star 246 248 249 Test, Uppitiness 245 Theorem on simplifying games 75—77 Theorem, At-leat-one 258 Theorem, Don't-Break-It-Up 213 214 216 Theorem, Half-Tame 435 Theorem, intermediate value 426 438 Theorem, Max-Flow, Miin-cut 201 205 211 Theorem, Noah's Ark 423 432—435 443 Theorem, non-arithmetic periodicity 115 Theorem, Number Avoidance 147—149 183 Theorem, Redwood Furniture 212—214 Theorem, Sidling 340 371—373 Theorem, Simplest Form 370 Theorem, Star-Incentive 259 Theory, Green Hackenbush 190—196 201 Theory, Smith 323 395 Thermal dissociation 168 Thermograph 151—159 161—166 168—172 174 176 358 Thermograph of oof 358 Thermograph, compound 164 Thermograph, extended 161 162 Thermograph, four-stop 158 159 Thermographic thicket 176 Thermographs of star and up 156 Thermography 151—174 176—179 188 225 262 Thermostat 164 185 THERMOSTAT = Thermostatic Strategy 188 225 Thinking, backwards 384 Thinking, forwards 384 Thinking, laterally 384 412 Third cousin 101 103—105 107 109 114 116 Thirteen's unlucky 420 Three-Color Hackenbush see also "Hackenbush Hotchpotch" Three-Finger Morra 15 Three-quarters 6 17 Thumb-twiddling 405 Thursday, Maundy 26 Tic-Tac-Toe 14 94 Tie 14 Time, complete in exponential 224 Timer 300 305—308 310 314—318 322 325—327 Tinted 38 39 47—49 51 204 206 209 210 TINY 126 127 169 170 353 357 Tiny-2 126 Tiny-a-quarter 132 Tiny-x 126 Tis, tisn 342 344 374 Toads-and-Frogs 12 40 63—65 68—70 72 75 77 127—132 134—138 367—368 375—376 Toenail 158 Toll 300—303 305—306 318 310 312 315—321 325 Toll, infinite 312—320 325—326 tombstone 318 Top Entails 396 Track = path 202 225 Tracking 65 202 205 222 Trading Triangles 254 Trailing 402 403 TRAINS 402 Transition, phase 168 Translation by nimbers 259 261 Translation by numbers 149 153 158 Translation of four-stop games 157—158 Translation of switches 123 Treblecross 113 Treblecross = 007 94 95 Tree with extra twig 214 216 Tree, Australian 22 24 214 Tree, binary 22 24 Tree, game 40 Tree, green 191—193 Tree, greenwood 34 Tree, infinite 332 Tree, redwood 214—217 Tree, spanning 217 224 Trey 357 Triangles, Trading 254 Triangular numbers 254 Triplicate Dawson's Kayles 261 Triplicate Nim 114 116 Truth, awful 416 Tschantz, Steve 52 Tsyan-Shizi = Wythoff's Game 427 Ttravesty 286 Turn-and-Eatcake 236 Tweedledum and Tweedledee 2 3 35 Tweedledum and Tweedledee Argument 35 72 Twig 192 193 196 213 216 Twigs, pale and pink 344 Twigs, redwood 213 214 216 Twisted Bynum 236 Two and two 419 Two-Ahead Rule 199 200 Two-Dimensional Nim 332—333 Uiterwijk, J.W.H.M. 144 Ultimate periodicity 99 101 289 Uncertainty 230 UNDER 341 353 Underlying economy 151 union 299—302 304—308 310—312 314 316—320 322 325—327 Union, misere partizan 312 Union, tardy 312 Union, urgent 312 316 Units, fickle and firm 423 Unparted jungles 210 Unrestricted tallies 314—318 Unruly 116 Untinted nodes 50 204 206 210 Up, 151 155 229 247 258 Up-onth 375 Up-second 236 341 Upon 321 333 355 Upon* = delphinium 341 344 353 Uppitiness = atomic weight 200—202 204 206 208 209 211 220—222 225 230 232 234 236—240 242—244 246 248 251 253 256 258 259 261 Uppity, equally 242 245 Upset board 317 Upstart equality 71 Upsum 336 365 367 Urgent unions 312 316 Value 4—7 9—12 17 19 20 22 24—26 28 36 38 39 43—45 Value versus average 10 Value, mast 152—154 165 166 Value, mean 149 151—154 165 166 188 Value, startling 39 Values, Childish Hackenbush 43 52 Values, Col 38 39 50 Values, common 110 Values, Cutcake 25 Values, Domineering 120 121 139 142 144 Values, entailed 397—404 Values, exceptional 90-92 101 108 Values, excluded 111 Values, Hackenbush 4—6 17 19 20 Values, irregular 90—92 101 108 Values, loopy 387 389—391 Values, Maundy Cake 26 Values, nim- 82 84 86 87 90—96 98 99 110—117 191—195 230 Values, non-loopy 389 Values, rare 110—112 Values, redwood bed 216 Values, regular 90 91 Values, Seating Boys-and-Girls 133 Values, Seating Couples 45 Values, Ski-Jumps 9-11 19 Values, small 36 229—232 234 236—240 242—251 253 254 256—259 261 262 Values, Snort 147 180—183 Values, switch 121—125 Values, Toads-and-Frogs 12 131 134—138 van Tubergen, G.J. 384 412 Variation set 220 221 Variations 94 310 Varieties 362 Victory 163 Vout, Colin 38 Walsh, J.L. 52 Waltz 6 96 War, cold 299 300—302 304 306 307 Warfare, jungle 210 Warming 187 Weight see "Atomic weight" Welter's Game 427 West, Julian 144 Whist 275 White Knight 56—59 278 White, Farmer 145—147 Whole numbers 19 Wholeness of Hackenbush Hotchpotch 251 width 164 184 Wild animals 430—431 Wild games 430—431 434—435 437—438 Wilder, Thornton 414 Wilson, Neil Y. 118 Win quickly 278 Winning post 395 411 Wolfe, David 18 142 144 188 224 225 Wonders, numberless 119 World, lost 413—414 World, small 229 Worthwhile move, option 213—216 Wright House 372 Wyt Queens 59 60 74 402 427—428 Wythoff's Difference Rule 74 404 Wythoff's game 15 60 74 427 Wythoff, W.A. 74 79 Yamasaki, Yohei 427 430 454 Yedwab, Laura J. 188 224 227 Yes! 53 112 348 Yesha, Y. 224 226 Zero 2 3 7 19 28—30 33 41 Zero game 4 Zero position 2 Zieve, Michael 118 Zigzag 177 Zoo, Good Child's 427
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