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Kraitchik M. Ч Mathematical Recreations
Kraitchik M. Ч Mathematical Recreations

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Ќазвание: Mathematical Recreations

јвтор: Kraitchik M.

јннотаци€:

Ranging from ancient Greek and Roman problems to modern applications and techniques, this book features 250 lively puzzles and problems, with solutions. Both beginners and advanced mathematicians will appreciate its variety of numerical pastimes, which include unusual historic problems from medieval European, Arabic, and Hindu sources.


язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: 2-nd edition, revised

√од издани€: 1953

 оличество страниц: 329

ƒобавлена в каталог: 24.11.2013

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
"Liber Abaci"      26Ч27
Aamouli, al      28
Addition tables, magic squares      182
Ages, problems on      42
Alfil      278
Algebraic magic series      183
Algebraic magic squares      183 187Ч192
Ancient problems      22Ч43
Angles, arithmetical      102Ч103
Anthology, problems from      23Ч26
Arabian problems      27Ч28
Arbus      14
Aristodicus      24
Arithmetic, geometry and      95Ч108
Aubry      177 214
Augeas      24
Automorphic numbers      77Ч79
Baccara      129
Bachet de Meziriac      52Ч55 84 149
Ballot-box problem      132
Baskerville, chess innovations      277
Battle of numbers      83Ч86
Becq de Fouquiere      279
Beha Eddin Mohammed ben al Hosain al Aamouli      28
Bernoulli, Daniel      137Ч138
Bernoulli, Nicholas      137
Bertrand, J.      129 130 136 138
Betting, systems      131
Bicolored pieces      313 315
Bimagic square      176Ч177
Bimagic, defined      143
Binary notation      52 56Ч58
Binomial expansion, checkers and      269
Boije af Gennas      44
Border squares      166Ч170
Bosnins      14
Bridge, hands      119Ч121
Bridge, tournaments      230Ч237
Brooks      198
Buffon      138
Caesar, Julius      109Ч110
Caius      28Ч29
calendar      109Ч116
Caligula      94
Capablanca, chess innovations      277
Cards, Euler squares      181
Cards, guessing      60 313Ч323
Cards, problems on      316Ч323
Cayley      295
Cazalas      177
Centaur      278Ч279
Central magic square      189
Chancellor      278
Charisius      24
Checkerboard, algebra      271
Checkers      284Ч287 315
Checkers, French      285Ч286
Checkers, Japanese      280
Checkers, Polish      287
Checkers, problems on      269Ч271 315Ч316
Checkers, Turkish      287
Chess      280
Chess, cylindrical      277
Chess, fairy      276Ч279
Chess, marked-pawn      278
Chess, number of games      275Ч276
Chess, problems on      13 238Ч256 257Ч268 272Ч279
Chess, supernumerary pieces      278
Chessboard, domination of      253Ч256
Chicandard      312Ч313
China, games      279Ч280
Chinese Rings      58 89Ч91
Chuquet      22Ч23 29
Claus      see "Lucas"
Clavius      22Ч23
Cole      70
Colors, eleven, square array      252
Composite Magic Squares      170Ч174
Condorcet      136
Congruences      41 62Ч63 77
Constellation      175
Convergent      100
Courser      279
Coxeter, H.M.S.      208
Craps      123Ч126
Crossings, problems of      214Ч222
Cryptarithmetic      79Ч83
cuboid      107Ч108
Cunningham      70 74
Curious problems      22Ч43
Cyclic numbers      74Ч76
Cylindrical chess      277
D'Alembert      135
Dabbaba      278
Daily promenade      226
Dawson, chess innovations      278
de la Loubere      148Ч149
de Mere, Chevalier      117 119
Decanting, reapportionment by      29Ч31
Deductive reasoning      13Ч21
Delannoy      302 304
Devedec      150Ч152
Diagonal, magic squares      143 189
Dice, problems on      118Ч119 123Ч127
Difficult crossings      214Ч222
Digits, location of      48Ч50
Digits, negative      51
Diophantus      25 44 66 69
Dissections      193Ч197
Distances, shortest      18Ч21
Distributions      226Ч230
Dodecagon      206 207
Dogs and wolf      310
Domain      260
Dominoes      298Ч304
Draughts      see "Checkers"
Duke Mathematical Journal      198
Earth, girdling      39
Error curve      121Ч123
Euler      28Ч29 70 73 74 78 209
Euler squares      179Ч182
Fairy chess      276Ч280
Fathers and sons      37
Fermat      28 70 74 92 117 119 211
Fermat numbers      73Ч75
Fers      278
Fibonacci, Leonardo      26Ч27
Fifteen puzzle      302Ч308
Figurate numbers      66Ч69
Flanders, Donald A.      7
Fleisher      182
Fool's mate      267
Four-story towers      311Ч312
Fourth dimension, figurate numbers in      68
Fractions, ancient problems      22Ч43
Freak problems      44
Frederick II, emperor      26
Frenicle      191
Frogs and toads      313Ч314
Frolow      169
Fry, T.C.      139
Gambler's ruin      140
Gambling, systems      131
Games, arithmetical      83Ч93
Games, permutational      302Ч323
Games, positional      267Ч302
Games, problems on      267Ч323
Games, unfinished      117
Gauss      74 110
genealogy      16
Geodesic      18
Geometric recreations      193Ч213
Geometry, arithmetic and      95Ч108
Gergonne      318
Go, game      279
Go-bang      280
Goormaghtigh      318
Graces      24
Graeco-latin squares      179Ч182
Grasshopper, chess piece      279
Grasshopper, game      310Ч311
Great bishop      279
Greek Anthology, problems from      23Ч26
Gregorian calendar      109Ч116
GREGORY XIII      110
Gros      90Ч91
Guiser      86
Half-bishop      279
Halma      311
Halton      122 123
Hanoi, Tower of      91Ч93
Heath, R.V.      57 72 171 177 209
Heawood      211
Heineman, D.      7
Heracles      24
Heronian triangles      104Ч108
Hexagonal numbers      67
hilbert      193
Hindu problems      32Ч33
Hopscotch      290Ч292
Horses, betting on      134Ч135
Huber Ч Stockar      266
Husbands and wives      37
icosahedron      208
Inheritance, problems of      29 31
Japan, games      279Ч280
Jealous husbands      214Ч221
Jinx      281
John of Palermo      26Ч27
Johnson, Alvin      7
Joining points      296
Josephus      94
Josephus' problem      93Ч94
Julian calendar      109Ч116
King, algebra of moves      273Ч274
Kirkman      230
Klein, Felix      209
Knights, domination of board by      256
Knights, moves      273Ч277
Knights, problem of the      257Ч266
Koenigsberg bridges      209Ч211
Kowalewsky, G.      311
Kraitchik      8 74
Lagrange      135
Landry      70 74 78
Lasca      287Ч290
Lasker      287
Latin squares      178 246
Latruncules      279
Lattices      152Ч157
Le Lasseur      70
Leaper      279
Legal chess      278
Lehmann      182
Lehmer      70 78
Leibnitz      298
Leonardo of Pisa      26Ч27
les Pendus      291
Ling      281
Loyd, Sam      267Ч268
Lucas      78 92
Lucas, quadrille      302Ч303
MacMahon      53
Magic constant      143
Magic series      143 176 183Ч186
Magic squares      142Ч192
Magic squares, composite      170Ч174
Magic squares, composite order m      162Ч167
Magic squares, domino      302
Magic squares, elementary construction methods      148
Magic squares, literal      186Ч187 192
Magic squares, order      4 182Ч192
Magic squares, prime order p      157Ч161
Magic squares, third order      146Ч148
Map-coloring problem      211
Marceil      321
Marked squares      296
Marseille chess      278
Martin      317
Matador      300
Matches      230Ч237
Mathematics, nature of      13
mersenne      70Ч72
Mersenne numbers      70Ч73
Meuris      33
MINOS      79Ч80
Miscellaneous Problems      44Ч51
Moebius      277
Moebius band      212Ч213 277
Monge's shuffle      321Ч323
Monmort      298
Morehead      74
Mosaics      199Ч209
Mouse trap      295
Muggins      300
Multigrade      79
Multimagic squares      176Ч178
Multimagic, defined      144
Muses      23 24 230
Naval battle      283
Neckties, paradox      133Ч134
Needle problem      132
Negative digits      51
Neuter      279
New School for Social Research      7
NIM      86Ч88
Nomogram      110
Normal case, magic squares      143
Norton, W.W.      8
Notation, Scales of      49Ч58
Numa, calendar      109
Numbers, battle of      83Ч86
Numbers, guessing      56Ч66
Numbers, mathematics without      13Ч21
Numerical pastimes      44Ч94
Octagon      204
One-sided surfaces      212Ч213
Order, magic squares      143
Orthogonal, magic squares      143 189
Over ten, game      126Ч127
Ozanam      34
Paillot      302
Pallas      24
Pandects, problem of      28
Panmagic squares      170Ч176
Panmagic, defined      143
Parallelograms, Heronian      107Ч108
Parker      8
Partner changes      226Ч230
Pascal      66 117 119
Pascal's triangle, checkers and      269
Peg Solitaire      297
Pell's equation      100
Pentagonal numbers      67
Perelman      57
Perfect numbers      70Ч73
Permutational games      302Ч323
Permutational problems      214Ч238
Permutations, linear, of n things      230Ч240
Perpetual calendars      109Ч116
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