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Mathematical game

 

Mathematical game

Mathematical games include many topics which are a part of recreational mathematics, but can also cover topics such as the mathematics of games, and playing games with mathematics. As far as two-player games are considered, what distinguishes a mathematical game from ordinary gamess is the emphasis on mathematical analysis of the game, rather than actually playing it.

Mathematical Games was the title of a long-running column on the subject by Martin Gardner in Scientific American. He inspired several new generations of mathematicians and scientists through his interest in mathematical recreations. Mathematical Games was succeeded by Metamagical Themas, a similarly distinguished but shorter-running column by Douglas Hofstadter.

Mathematics of games


This can be a more serious subject than the name belies. It can include the statistical analysis of Card games to understand and improve play techniques.
  • Game theory has wide social and military applications for tactical and strategic planning.
  • Conway's combinatorial game theory and surreal numbers

    Playing games with mathematics

    The foremost popularizers of recreational mathematics in recent years have been

  • John Conway
  • Martin Gardner
  • Douglas Hofstadter

    Other figures in recreational mathematics history have included:

  • Henry Dudeney
  • Piet Hein
  • Sam Loyd

    Specific mathematical games and puzzles

    Other games and pastimes of non-trivial mathematical interest:
  • Juggling (juggling patterns)
  • Origami (many mathematical results, some deep)

    See also:

  • Solved board games, Games of skill

    External links and references

  • Journal of Recreational Mathematics
  • http://www.mathpuzzle.com/ by Ed Pegg, Jr.
  • The Unreasonable Utility of Recreational Mathematics by David Singmaster
  • Profile of John Conway
  • Bibliography: http://bruichladdich.dcs.st-and.ac.uk/mathrecsFolder/books.html
  • Mathematical Games from Madras College, St Andrews
  • Malba Tahan: The Man Who Counted



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