Mathematical Games and Pastimes
eBook - PDF

Mathematical Games and Pastimes

Popular Lectures in Mathematics

  1. 311 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Mathematical Games and Pastimes

Popular Lectures in Mathematics

About this book

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.

Trusted by 375,005 students

Access to over 1.5 million titles for a fair monthly price.

Study more efficiently using our study tools.

Information

Publisher
Pergamon
Year
2014
eBook ISBN
9781483137827
Print ISBN
9780080136738

Table of contents

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