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

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