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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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427 279 381—384 408 410 439 382 384 390—391 408 410 279 381—385 408 410—411 416—417 419—424 426 431—432 433 Absorbancy, downsum 360 Accounts-payable 127 ACE 357 Action, in hottest game 167 Active postion 149 150 Acute triangles 254 Adams, E.W. 117 Adders = 73 429 444 Adders-and-Ladders 386 Addition of games 31 32 Addition of loony games 399 Addition of loopy games 390 Addition of switches 120 Addition, nim- 58 59 73 74 90 109 110 116 199 246 390 418 Addition, nim-, ordinal 220 Addition, two kinds 191 Additional Subtraction Games 395 Additives of no atomic weight 225 Adjacency matrix 222 Air on a 96 Ajar 408-410 Alice in Wonderland 1 56 57 229 All small games 229 230 All Square 405 All the King's Horses 277—283 286—289 292—293 Allemang, Dean Thomas 454 Almonds 379 393 Also-ran 286 Alternating moves 46 47 Althoefer, I. 86 117 Amazing jungle 208 Amazons 15 16 Ambient temperature 164 168 188 Ambivalent nim-heaps 426 Anatomy of Toads-and-Progs 63 Andersson, Goeran 119 Anger, fit of 317 Animals, dead 135 Animals, Grundy's wild 431 Animals, tame 425-430 Animals, tracking 202 Annihilation games 224 Argument, Poker-Nim 55 56 Argument, Snakes-in-the-Grass 191 Argument, Tweedeldum and Tweedledee 2 3 35 72 349—350 Arithmetic, periodicity 99 113—117 144 Arithmetically periodic 187 Asymmetrical heating 173 atom 229 Atomic weight = uppitiness 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 Atomic weight = uppitiness, calculus 231 232 234 237 239 242 247 249 256 259 Atomic weight = uppitiness, of lollipops 238 Atomic weight = uppitiness, of nimbers and of up 232 Atomic weight, eccentric 231 232 237 251 Atomic weight, fractional 234 236 Atomic weight, properties of 236 Atomic weight, rules 242 Atoms, superheavy 333 Austin, Richard Bruce 52 96 109 117 Average versus value 10 Averages, playing the 167 173 Baby-sitting 413 Bach, Clive 369 Back-handed compliment 405 Backgammon 14 Backsliding Toads-and-Progs 367 375—376 Bad child 430 Bad move 16 Baked Alaska 321 323 balance 381 Ball, officers' 96 Ball, W.W. Rouse 117 BASEBALL 15 Basketball 15 Battle 3 Battle, hot 145 299—302 304 305 307 310 322 327 Battle, Nim-like 230 Battleships 15 Beasley, John D. 18 Bed, redwood 211 213—217 222 Benson, E.C. 117 Berge, Claude 78 Berlekamp's rule 77 78 Berlekamp, Elwyn Ralph 16 18 77 78 123 144 187 188 224 225 318 Bicknell-Johnson, Marjorie 79 Big firms 423 Big game 65 75 202 206 222 417 Binary (base 2) 73 Bipartite graph 217 224 Birthday 318 417 Black, Farmer 145 146 Blass, U. 78 Blatantly loopy 391 Blatantly winning ways 420 Blockbusting 187 Blossom 198 199 240 BLue edge 2 198 230 237 Blue Flower Ploy 199 201 240 242 Blue Jungle Ploy 201 210 BLue tinted nodes 48 204 Blue-Red Hackenbush 1—6 15—17 20 22 27 29—33 35 36 42 77 179 198 200 211—217 224 Blue-Red-Green Hackenbush see "Hackenbush Hotchpotch" Bodlaender, H.L. 117 225 Bogus Nim-heap 57—58 Bond, James = 007 94 Bonus move 405 Bottle 218 225 Boundary, Left 154—156 158 164 169 Boundary, Right 154—156 164 169 170 Bouton, Charles L. 42 52 78 454 Brazils 393 Breakthrough 188 Breuker, D.M. 144 Bridge 17 190 194—196 Bulls 145 146 Bynum's Game = Eatcake 136 234 289 Bynum, James 136 234 289 Bypassing reversible options 60 62—64 66 70 71 75 77 Byrom, John 53 Byron, Henry James 81 cabs 388—393 Caines, Ian 117 Cake 26 51 196 220 221 284—288 289—292 294—297 299—303 308—310 321—323 Calculus, Atomic Weight 231 232 234 237 239 242 247 249 256 259 Calistrate, Dan 188 Canonical form for numbers 22 Card sharp 16 Cards, House of 257—361 Carousel 380 Carroll, Lewis 229 Cash flow 126 cashews 393 Cashing Cheques 122—124 145 158 159 240 CEILING 51 Celoni, James R. 226 Centralizing switches 123 Chain, green 40 Chain, Snort 147 149—151 153 156—158 161 167 168 177 180—183 Chair, redwood 211 Chair, swivel 349 Chalk-and-blackboard game 1 Chance moves 14 Chandra, Ashok, K. 224 227 Change of heart ix Change, phase 167 168 Charge, electric 253 254 Charming Antipodean Beauty Spot 391 Checkers 18 Checkers = Draughts 224 226 227 Cheque-market exchange 158 159 Chess 14 18 224 226 Chess, Dawson's 89—92 101 109 Child, bad 430 Child, good 427 Childish Hackenbush 43 52 157 Childish Hackenbush Hotchpotch 236—238 Childish lollipops 237—240 Childish picture 43 Children's party 132 170 China 16 Chinese Nim = Wythoff's Game 427 Chytie, M.P. 227 Class and variety 362—363 Class, outcome 28 84 Closed 408—410 Cloud 31 36 121 149 150 Clubs 359 Coalitions 15 Code digits 92 93 101 103—105 107 108 113 117 Coinage, Sylver 15 Coins 123—124 col 38 39 47—51 67 68 75 145 224 Cold game 299—300 307 316 317 Cold position 301 304—306 322 Cold War 299—302 304 306 307 Cold work 316 Coldcakes 300 Colon notation 243 244 Colon principle 191 193 194 220 355 Coloring 38 145 147 187 Commaandment, Lukewarmth 307 310 Commaandment, Markworthy 317 Common coset 110 Common values 110 Comparing games 35 36 122 348 Compendium 109 387 Complementing effect 405 Complete in exponential time 225 Complete in Pspace 224 Complete information 14 Complimenting moves 379 405—407 Component 20 22 31 32 35 278 281 286 288—289 299—302 307 312 325—326 396—398 415 Component, cold 299 300 Component, hot 299 300 Component, loopy 410 Component, tepid 327 Compound game 31 299 Compound thermograph 164 Compound, conjunctive 278 284 286 Compound, continued conjunctive 286 Compound, disjunctive 289 Compound, impartial 396 Compound, selective 299 300 Compound, severed selective 312 Compound, shortened selective 312 Compound, subselective 396 Computing power 163 Confused 31 68—71 Confusion interval 121 149—151 158 163 Conjecture 112 Conjunctive compound 278 286 Connell, Ian G. 78 Continued conjunctive compound 286 contract 126 Convention, normal play 14 Conway, John Horton 18 22 52 78 117 123 144 188 225 262 298 377 446 454 Cook, Stephen A. 224 225 Coolcakes 308—309 321 Cooling 151 152 154 167 179 231 Cooling, formula 151 Coprime 404 Corinthians I., 13.12 69 Cork-screw, left-handed 379 Cosets, common 110 costs 161 Counters, heaps of 41 Couples, Seating 44 45 132 133 Cousin 101 103—105 107 109 114 116 Cowley, Abraham 119 Cows 145—147 Coxeter, Harold Scott Macdonald 78 117 Cram = Impartial Domineering 142 144 298 Cricket 15 Criminal, minimal 194 214 Critical temperature 167 168 171 Crosscrain = Domineering 119 298 Cutcake 25 26 31 32 Cutcake Hickerson's 51 Cutcakes 284—285 292—294 300 Cutting 284 292 Cycles 192—194 213—214 D.A.R. 361 Damss, J.E. 225 Dawson's Chess = 137 89—92 101 109 Dawson's Kayles = 07 15 90 93 95 101 109 261 438 444 Dawson, Thomas Rayner 89 117 de Bono, Edward 384 408 408 Dead animals 135 Death Leap Principle 127—130 135 Degree of loopiness 361 Degree of upon 375 Deleting dominated opinions 62 63 75 77 Delphinium 47 199 242 Descartes, Blanche 96 177 Deuce 357 Devil's label 195 209 diamonds 359 Difference Rule 74 404 Digits, code 92 93 99 101 103—105 107 108 113 117 DIM 98 442 Dim with Tails 404 Disarray 95 Disassociation, thermal 168 Discount 161 Disentailing 401 Disguise 95 Disjunctive compound 278 289 Dissection 128 129 134 Dividing Rulers 436—437 Dog with leftward leanings 4 Dominated option 62 63 75 77 126 149 Domineering = Crosscram 119—122 139 142 144 153 177 298 366 Domineering, Impartial = Cram 142 144 298 Dominoes 119 Don't-Break-It-Up Theorem 213 214 216 Dots-and-Boxes 15 95 225 Double Duplicate Nim 114 Double Hackenbush 343 Double Infinity 334 Double Kayles 99 Double-down, 68 69 71 Double-six 405 Double-up, 68 69 71 242 Doubling of nim-values 94 Down 68 151 Down-second 236 Downsum 336 355 357 360 Drawn 14 335 Dress, Andreas 117 dud = deathless universal draw 337—338 353 Dudeney, Henry Earnest 82 117 Duffus, Dwight 312 Duplicate Kayles 99 444 Duplicate Nim 114 116 Duplication of nim-values 94 98 99 114 116 444—445 Duvdevani, N. 79
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