Mathematical_Recreations-Kraitchik-2e

Needle problem, 132
Negative digits, 51
Neuter, 279
New School for Social Research, 7
Nim, 86-88
Nomogram, 110
Normal case, magic squares, 143
Norton, W. W., 8
Notation, scales of, 49-58
Numa, calendar, 109
Numbers, battle of, 83-86
guessing, 56-66
mathematics without, 13-21
Numerical pastimes, 44-94
o
Octagon, 204
One-sided surfaces, 212-213
Order, magic squares, 143
Orthogonal, magic squares, 143, 189
Over ten, game, 126-127
Ozanam,34
P
Paillot, 302
Pallas, 24
Pandects, problem of, 28
Panmagic, defined, 143
Panmagic squares, 170-176
Parallelograms, Heronian, 107-108
Parker, 8
Partner changes, 226-230
Pascal, 66, 117, 119
Pascal's triangle, checkers and, 269
Peg solitaire, 297
Pell's equation, 100
Pendus, les, 291
Pentagonal numbers, 67
Perelman, 57
Perfect numbers, 70-73
Permutational games, 302-323
Permutational problems, 214-238
Permutations,linear, of n things, 239-
240
Perpetual calendars, 109-116
Pervouchine, 74
Pettie, 291
Philosophers, 15
Pigeolet, 82
Pillai, Siva.sankara.na.rayana, 290
Plana, 70
Plane figures, dissection, 193-198
Poisson, 136
Index 8~9
Polish bank, 127
Polycrates, 23
Polyhedron, 18
Polytechnic School Game, 295
Pool, in games, 127
Positional games, 267-302
Poulet, 70, 215
Powers, 78
Prices, problems on, 33-37
Prime numbers, 78-79
Primitive triangles, 95-104
Probabilities, 117-141
Problems, solution by false methods,
42-43
Punga,282
Pyramidal numbers, 68
Pythagoras, 23
Pythagorean relation, 95-108
Q
Quadrilles, 303-304
Queens, domination of board by, 255-
256
problem of, 238, 247-256
Qu~telet, 138
R
Railroad trains, problems on, 38
Ramesam, 70
Raynor, 174
Reapportionment, 29-31
Reuscble, 70
Reversi, 281
Right triangles, 95-104
Rings, Chinese, 58, 89-92
Romulus, 109
Rooks, domination of-board by, 256
problem of, 240-247
Rose-Innes, 66
Roulette, 130-132
Round dances, 228-230
Round-robin, 231
ROma,282
Russian bank, 128
S
Saint-LagUe, 221
Saint Petersburg paradox, 135-140
Scales of notation, 49-58
Scripta M athematica, 208
Seelhof,74