Mathematical Games and Pastimes

Popular Lectures in Mathematics

A. P. Domoryad, I. N. Sneddon, M. Stark

• Publisher: Pergamon
• Year: 2014
• eBook ISBN:
  9781483137827
• Print ISBN:
  9780080136738

Mathematical Games and Pastimes focuses on numerical solutions to mathematical games and pastimes. The book first discusses the binary system of notation and the system of notation with the base three. Congruences, Pythagorean and Heronic triples, and arithmetical pastimes are explained. The text takes a look at the nature of numerical tricks. Guessing the results of operations with unknown numbers; determination of numbers thought of using three tables; and extraction of roots of multidigit numbers are explained. The selection also touches on rapid calculations, games with piles of objects, Meleda, solitaire, and Lucas' game. Problems on determining ways to reach goals are also presented. Games that show the numerous ways to reach goals are discussed. The text also examines Euler squares, dominoes, and problems related to the chess board. Pastimes related to objects changing places are also highlighted. Topics include Lucas' problem, Ruma, and Monge's shuffle. The book is highly recommended for readers wanting to find solutions to mathematical games and pastimes.

Table of contents

• Front Cover
• Mathematical Games and Pastimes
• Copyright Page
• Table of Contents
• Foreword
• Chapter § 1. Various systems of notation
• Chapter § 2. Some Facts from the Theory of Numbers
• Chapter § 3. Congruences
• Chapter § 4. Continued Fractions andIndeterminate Equations
• Chapter § 5. Pythagorean and Heronic Triples
• Chapter § 6. Arithmetical Pastimes
• Chapter § 7. Numerical Tricks
• Chapter § 8. Rapid Calculations
• Chapter § 9. Numerical Giants
• Chapter § 10. Games with Piles of Objects
• Chapter § 11. Meleda
• Chapter § 12. Lucas' Game
• Chapter §. 13. Solitaire
• Chapter §. 14 The "Game of Fifteen"and Similar Games
• Chapter 15. Problems on Determining the Number of Ways of Reaching a Goal
• Chapter § 16. Magic Squares
• Chapter § 17. Euler Squares
• Chapter § 18. Pastimes with Dominoes
• Chapter § 19. Problems Connected with the Chess Board
• Chapter § 20. Making up Timetables
• Chapter § 21. The "Problem of Josephus Flavins"and Similar Ones
• Chapter § 22. Pastimes Connected with Objects Changing Places
• Chapter § 23. The Simplest Methods of Constructing Pleasing Patterns
• Chapter § 24. Regular Polygons from Rhombi
• Chapter § 25. The Construction of Figures from Given Parts
• Chapter § 26. The Construction of Parquets
• Chapter § 27. Re-cutting of Figures
• Chapter §. 28. The Construction of Curves
• Chapter § 29. Mathematical Borders
• Chapter § 30. Models of Polyhedra
• Chapter § 31. Pastimes with a Sheetand a Strip of Paper
• Chapter § 32. The Four-Colour Problem
• Chapter § 33. Drawing Figures at one Stroke of the Pencil
• Chapter § 34. Hamilton's Game
• Chapter § 35. Arranging Points on a Planeand in Space
• Chapter §. 36. Problems of a Logical Nature
• Chapter § 37. Rag-Bag
• Chapter § 38. Notes and Answers to Problems
• Bibliography