"Chess and Maths" is an investigation that discovers links between mathematics and a game of chess. Algorithms, Theories and its examples considered in the book prove that when making a move you're actually solving a maths problem that you aren't aware of. Also it was shown how a computer functioned by a machine programming plays chess via mathematic data. Investigations with computer programming led to imagine the way computer sees the chess board and how it thinks via numbers. Part II analyses the most productive and efficient openings currently in a game of chess by usage of maths. Mathematical methods of set theory were used to find a probability of success of the openings, while heuristic evaluation function was used to examine productiveness of the openings.