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Berlekamp E., Conway J., Guy R. — Winning Ways for your mathematical plays.Volume 2.
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: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Èçäàíèå: 2nd

Ãîä èçäàíèÿ: 2003

Êîëè÷åñòâî ñòðàíèö: 215

Äîáàâëåíà â êàòàëîã: 04.11.2014

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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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, $\uparrow$      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
1 2 3 4 5
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