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Billiards ( French Billette billart stick ) the collective name of several board games with different rules as well as a special table on which There is a game. A characteristic feature of all billiard games is the movement of balls on the surface by transferring it to acceleration by a cue through a guiding blow in the longitudinal direction of its rod.

Speaking about the origin of the billiard game it is impossible to accurately determine the time of its appearance. It is known only that it like chess is of very ancient origin and the birthplace of billiards is Asia according to some India according to others China. However, in European countries even before their appearance the principles of modern billiard games have already been laid in some games.

Gaspar Gustav Coriolis started talking about the mathematical basis of the billiard game in his book Mathematical theory of billiard game phenomena in his book Théorie mathématique du jeu de billard. He used in his work elements of probability theory the theory of limits and the overall analysis. However, the book did not arouse much interest among contemporaries neither mathematicians nor billiards.

More than a hundred and fifty years have passed and mathematical billiards has developed into its theory giving rise to several side effects. "The theory of billiards" is now an integral part of the ergodic theory and theory of dynamical systems has a major application in physics. Mathematician Halperin created a method for determining the number With the help of billiards. The results of studies of mathematicians Steinhaus Alhazen and Gardner are much closer to the general educated reader.

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