Book:Maurice Kraitchik/Mathematical Recreations

Contents

 * Preface


 * Chapter One. Mathematics Without Numbers


 * Chapter Two. Ancient and Curious Problems
 * Arabian Problems -- Reapportionment by Decanting
 * Hindu Problems


 * Chapter Three. Numerical Pastimes
 * 1. Miscellaneous Problems
 * 2. Scales of Notation
 * 3. To Guess a Selected Number
 * 4. Figurate Numbers
 * 5. Mersenne Numbers and Perfect Numbers
 * 6. Fermat Numbers
 * 7. Cyclic Numbers
 * 8. Automorphic Numbers
 * 9. Prime Numbers
 * 10. Multigrade
 * 11. Cryptarithmetic
 * 12. Arithmetical Games
 * 13. Josephus' Problem


 * Chapter Four. Arithmetico-Geometrical Questions


 * Chapter Five. The Calendar


 * Chapter Six. Probabilities


 * Chapter Seven. Magic Squares
 * 1. Definitions
 * 2. Transformations
 * 3. Magic Squares of the Third Order
 * 4. Elementary Methods of Construction
 * 5. Lattices
 * 6. Regular Magic Squares of Odd Order
 * 7. Border Squares
 * 8. Composite Magic Squares
 * 9. Panmagic Squares
 * 10. Multimagic Squares
 * 11. Latin Squares
 * 12. Euler (Graeco-Latin Squares)
 * 13. Magic Squares of Order 4


 * Chapter Eight. Geometric Recreations
 * 1. Dissection of Plane Figures
 * 2. Mosaics
 * 3. A Mosaic on the Sphere
 * 4. Topology


 * Chapter Nine. Permutational Problems
 * 1. Difficult Crossings
 * 2. Shunting Problems
 * 3. Distributions
 * 4. Matches and Tournaments


 * Chapter Ten. The Problem of the Queens
 * 1. The Linear Permutations of $n$ Different Things
 * 2. The Problem of the Rooks
 * 3. The Problem of the Queens


 * Chapter Eleven. The Problem of the Knight


 * Chapter Twelve. Games
 * 1. Positional Games
 * 2. Permutational Games


 * Index