Book:Maurice Kraitchik/Mathematical Recreations/Second Edition
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Maurice Kraitchik: Mathematical Recreations (2nd Edition)
Published $\text {1960}$, George Allen & Unwin Ltd
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