Book:A.P. Domoryad/Mathematical Games and Pastimes

A.P. Domoryad: Mathematical Games and Pastimes

Published $\text {1961}$, Pergamon Press (translated by Halina Moss)

Contents

FOREWORD

$\S 1.$ Various Systems of Notation

$\S 2.$ Some Facts from the Theory of Numbers

$\S 3.$ Congruences

$\S 4.$ Continued Fractions and Indeterminate Equations

$\S 5.$ Pythagorean and Heronic Triples of Numbers

$\S 6.$ Arithmetical Pastimes

$\S 7.$ Numerical Tricks

$\S 8.$ Rapid Calculations

$\S 9.$ Numerical Giants

$\S 10.$ Games with Piles of Objects

$\S 11.$ Meleda

$\S 12.$ Lucas' Game

$\S 13.$ Solitaire

$\S 14.$ "The Game of Fifteen" and Similar Games

$\S 15.$ Problems on Determining the Number of Ways of Reaching a Goal

$\S 16.$ Magic Squares

$\S 17.$ Euler Squares

$\S 18.$ Pastimes with Dominoes

$\S 19.$ Problems Connected with the Chess Board

$\S 20.$ Making up Timetables

$\S 21.$ "The Problem of Josephus Flavius" and Similar Ones

$\S 22.$ Pastimes Connected with Objects Changing Places

$\S 23.$ The Simplest Methods of Constructing Pleasing Patterns

$\S 24.$ Regular Polygons from Rhombi

$\S 25.$ The Construction of Figures from Given Parts

$\S 26.$ Construction of Parquets

$\S 27.$ Dissection of Figures

$\S 28.$ The Construction of Curves

$\S 29.$ Mathematical Borders

$\S 30.$ Models of Polyhedra

$\S 31.$ Pastimes with a Sheet and a Strip of Paper

$\S 32.$ The Four-Colour Problem

$\S 33.$ Drawing Figures at One Stroke of the Pencil

$\S 34.$ Hamilton's Game

$\S 35.$ Arranging Points on a Plane and in Space

$\S 36.$ Problems of a Logical Nature

$\S 37.$ Rag-Bag

$\S 38.$ Notes and Answers to Problems

BIBLIOGRAPHY