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