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Berlekamp E.R., Conway J.H., Guy R.K. — Winning Ways for your mathematical plays
Berlekamp E.R., Conway J.H., Guy R.K. — Winning Ways for your mathematical plays



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Название: Winning Ways for your mathematical plays

Авторы: Berlekamp E.R., Conway J.H., Guy R.K.

Аннотация:

Nearly a quarter of a century ago, three mathematicians created the first and definitive book on mathematical games. Now, this classic is being republished in a completely revised edition, broken down into four volumes to accommodate new developments and to reorganize the material in the most accessible way. In Volume 1, the authors present theories and techniques to dissect games of varied structures and formats in order to develop winning strategies. The irreverent yet highly effective style of the book, as reflected in some of the reviews, makes reading a profitable pleasure. The inclusion of many examples helps the reader to put the mathematical analysis to immediate use.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-nd edition

Год издания: 2001

Количество страниц: 297

Добавлена в каталог: 01.12.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\mathcal{N}$-Position      84
$\mathcal{N}$-positions      84
$\mathcal{P}$-position      84
$\mathcal{P}$-positions      84
Accounts-payable      127
Action, in hottest game      167
Active position      149 150
Acute triangles      254
Adams, E.W.      117
Addition of games      31 32
Addition of switches      122
Addition, ordinal      220
Addition, two kinds      191
Additives of no atomic weight      225
Adjacency matrix      222
Air on a $\mathcal{G}$-string      96
Alice in Wonderland      1 56 57 229
All small games      229 230
Alternating moves      46 47
Althoefer, I.      86 117
Amazing jungle      208
Amazons      15 16
Ambient temperature      164 165 188
Anatomy of Toads-and-Frogs      63
Andersson, Goeran      119
Animals, dead      135
Animals, tracking      202
Annihilation games      224
Argument, Poker-Nim      55 56
Argument, Snakes-in-the-Grass      191
Argument, Tweedledum and Tweedledee      2 3 35 72
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 calculus      231 232 234 237 239 242 247 249 256 259
Atomic weight of lollipops      238
Atomic weight of nimbers and of up      232
Atomic weight properties      236
Atomic weight rules      242
Atomic weight, eccentric      231 232 237 251
Atomic weight, fractional      234 236
Austin, Richard Bruce      52 96 109 117
Average versus value      10
Averages, playing the      167 173
Backgammon      14
Bad move      16
Bad moves      16
Ball, officers'      96
Ball, W.W. Rouse      117
Baron, J.G.      52
BASEBALL      15
Basketball      15
Battle      3
Battle, hot      145
Battle, Nim-like      230
Battleships      15
Beasley, John D.      18
Bed, redwood      211 213—217 222
Benson, E.C.      117
Berge, Claude      78
Berlekainp's Rule      77 78
Berlekamp, Elwyn Ralph      16 18 77 78 123 144 187 188 224 225
Bicknell-Johnson, Marjorie      79
Big game      65 75 202 206 222
Binary (base 2)      73
Bipartite graph      217 224
Blank, Farmer      145 146
Blass, U.      78
Blockbusting      187
Blossom      198 199 240
BLue edge      2 198 230 237
BLue edges      2
Blue Flower Ploy      199 201 240 242
Blue Jungle Ploy      201 210
BLue tinted nodes      48
Blue-Red Hackenbush      1—6 15—17 20 22 27 29—33 35 36 42 77 179 198 200 211—217 224
Bodlaender, H.L.      117 225
Bogus Nim-heap      56
Bond, James = 007      95
Bottle      218 225
Boundary      158
Boundary, Left      154—156 164 169
Boundary, Right      154—156 164 169 170
Bouton, Charles L.      42 52 78
Breakthrough      188
Breuker, D.M.      144
Bridge      15 190 194—196
Bueltermann, J.      86 117
Bulls      145 146
Bushaw, Donald W.      52
Bynum's Game = Eatcake      136 234
Bynum, James      136 234
Bypassing reversible options      60 62—64 66 70 71 75 77
Byrom, John      53
Byron, Henry James      81
Caines, Ian      117
Cake      26 51 196 220 221
Calculus, Atomic Weight      231 232 234 237 239 242 247 249 256 259
Calistrate, Dan      188
Canonical forms for numbers      22
Card sharp      16
Cards, shuffling      14
Carroll, Lewis      229
Cash flow      126
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
Chalk-and-blackboard game      1
Chance moves      14
Chandra, Ashok K.      224 227
Change, phase      167 168
Charge, electric      253 254
Checkers      18
Checkers = Draughts      224 226 227
Cheque-market exchange      158 159
Chess      14 18 224 226
Chess, Dawson's      89—92 101 109
Childish Hackenbush      43 52 157
Childish Hackenbush Hotchpotch      236—238
Childish lollipops      237—240
Childish picture      43
Children's party      132 179
Chilling      187
China      16
Chytie, M.P.      227
Class, outcome      28 84
Cloud      31 36 121 149 150
Coalitions      15
Code digits      92 93 99 101 103—105 107 108 113 117
Coinage, Sylver      15
Coins      123 124
col      38 39 47—51 67 68 75 145 224
Colon notation      243 244
Colon principle      191 193 194 220
Coloring      38 145 147 187
Common coset      110
Common values      110
Comparing games      35 36 122
Compendium      109
Complete in exponential time      225
Complete in Pspace      224
Complete information      14
Component      20 22 31 32 35
Compound game      31
Compound thermograph      164
Computing power      163
Confused      31 68 69 71
Confusion interval      121 149—151 158 163
Conjecture      112
Connell, Ian G.      78
contract      126
Convention, normal play      14
Conway, John Horton      18 22 52 78 117 123 144 188 225 262
Cook, Stephen A.      224 225
Cooling      151 152 154 167 179 231
Cooling formula      151
Corinthians I, 13.12      69
Coset, common      110
Cost      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      142
Cram = Impartial Domineering      142 144
Cricket      15
Criminal, minimal      194 214
Critical temperature      167 168 171
Crosscram = Domineering      119
Cucle      213
Cutcake      25 26 31 32
Cutcake, Hickerson's      51
Cycles      192—194 214
Damss, J.E.      225
Dawson's Chess = 137      89—92 101 109
Dawson's Kayles      261
Dawson's Kayles = 07      15 90 93 95 101 109
Dawson, Thomas Rayner      89 117
Dead animals      135
Death Leap Principle      127—130 135
Deleting dominated options      62 63 75 77
Delphinium      47 199 242
Demaine, Eric      225
Demaine, Martin      225
Descartes, Blanche      96 117
Devil's label      195
Dice, rolling      14
Difference Rule      74
Digits, code      92 93 99 101 103—105 107 108 113 117
Dilemma      132
DIM      98
Disarray      95
Discount      161
Disguise      95
Disincentive      147 148
Dissection      128 129 134
Dissociation, thermal      168
Dodgson, Charles Lutwidge      1 229
Dog with leftward leanings      4
Dominated option      62 63 75 77 126 149
Domineering      178 187
Domineering = Crosscram      119—122 139 142 144 153 177
Domineering, Impartial = Cram      142 144
Dominoes      119
Dominoes = Domineering      119
Don't-Break-It-Up Theorem      213 214 216
Dots-and-Boxes      15 95 225
Double Duplicate Nim      114
Double Kayles      99
Double-down, $\Downarrow$      68 69 71
Double-up, $\Uparrow$      68 69 71 230
Doubling of nim-values      94
Down, $\downarrow$      68 151
Down, $\uparrow$      63—65
Down-second      236
Down-third      236
Downstar      66 242
Drawn      14
Dress, Andreas      117
Dudeney, Henry Ernest      82 117
Duplicate Kayles      99
Duplicate Nim      114 116
Duplication of nim-values      94 98 99 114 116
Duvdevani, N.      79
Eatcake = Bynum's Game      136 234
Eatcakes      234
Eccentric cases of atomic weights      231 232 237 239 249 251
Economy, underlying      151
Edges      40 43 135
Edges for moves      40
Edges, bLue and Red      2—6 29 30 77 198 201 230 237
Edges, grEen      29 30 33 40 41 190—196 198—202 204—206 210 211 218 220 221 225 237 251
Ehrenborg, R.      117
Electric charge      251 253 254
Elkies, Noam D.      14 18 79
Empty set      82
Endgames, Go      187
Ending condition      14 35 46 47
Enlarged flow      204
Enough Rope Principle      16
Epp, R.J.      117
Eppstein, David      225
Equably favorable      35
Equally uppity      242 245
Equitable      157—161 169—172
Erickson, Jeff      138 144
Eternal games      46
Even, Shimon      224 225
Evil numbers      110
Ex-Officers Game = 06      101 103
Exactly periodic      86
Exceptional values      90—92 101 108
Exchange Principle      246
Excitable      157—161 169—172
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
Fairy chess      117
Favorite      262
Ferguson's Pairing Property      86
Ferguson, Thomas S.      86 117
Field      145
Fine Print      126
Finicky look      91
First cousin      101 103—105 107 109 114 116
First player wins      28—30
fit      22 251
Flammenkamp, Achim      86 112 117
FLOOR      51 75
Flow      202 204—206 208 209 222
Flow method      238
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
Flower garden      190 199 229 230 240
Flowerbed      242 244 246
Flowerbed should be posy      33
Flowerstalk = stem      36
Foot      211 212
Ford, Lester R.      205 212 225
Forest      33 34
Form, canonical      22
Form, simplest      22
Form, standard      101 103—105 107—109 114
Formula, Cooling      151
Foundations for thermographs      155
Fox-and-Geese      15
Fractional atomic weight      234 236
Fractional multiples      256
1 2 3 4
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