Mathematical Games and Pastimes

Description for Mathematical Games and Pastimes

A.P. Domoryad, "Mathematical Games and Pastimes"
Elsevier | 1964 | ISBN/ASIN: 0080136737, B0006AYRNK | 298 pages | Djvu | 3,2 MB
Quoted Foreword:
From the wide variety of material collected by various authors under the name of mathematical games and pastimes, there can be extracted several groups of "classical pastimes", which drew the attention of mathematicians for a long time;
1) Pastimes, concerned with the search for original solutions of problems, which permit a practically unlimited number of solutions (see e.g. "Magic squares"--ch. 16, "the problem of the chess knight"--ch.19, etc.). Here the interest is usually centred on establishing how many solutions there are, working out methods leading to large groups of solutions, or on solutions satisfying some special requirements....

Contents: 1. Various Systems of Notation 2 Some facts from teh theory of numbers 3 Congrences 4. Continued fractions and indeterminate equations 5. Pythagorean and Heronic triples of number 6 Arithmetical pastimes 7 numerical tricks 8 rapid calculations 9 numerical giants 10 games with piles of objects 11 meleda 12 lucas' game 13 solitaire 14 "the game of Fifteen" and similar games 15 Problems on determining the number of ways of reaching a goal. 16 magic squares 17 euler squares 18 pastimes with dominoes 19 problmes connected with the chess board 20 making up timetables 21 "the problems of Josephus Flavius" and similar ones 22 Pastimes connected with objects changing places 23 the simplest methods of constructing pleasing patterns 24 regular polygons from Rhmobi 25 the construction of figures from given parts 6 construction of parquets 27 Re-cutting of figures 28 the construction of curves 29 mathematical borders 30 models of polyhedra 31 pastimes with a sheet and a strip of paper 32 the 4-color problem 33 drawing figures at one stroke of the pencil 34 hamilton's game 35 arranging points on a plane and in space 36 problems of logical nature 37 rag-bag 38 notes and answers to problems


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