Chess and mathematics

I have been thinking; is there a relationship between chess and mathematics deeper than the mere coordinates? The question came to me while I was doing my math 12 homework, and it has been bugging me or days. There is indeed a level of intellect behind chess just as there is behind the mathematical equations and derivatives that are involved in calculus/mathematics/physics; but just how close is the relationship? Could there be an undiscovered equation or formula that models the moves in a chess game in a non-material manner? I know that computers use a somewhat similar process, but even they can be lured into traps; they will accept material, even if it leaves them facing an unavoidable mate in the next three moves. In terms of mathematics there are always two variables, X and Y, and in terms of chess there are two colours; black and white. A system of equations can be used to solve for the intersection or solution between the two equations at hand that constitute the X and Y variables, which gives the solution: X=A and Y=B where A and B are integers. Thinking of chess in terms of a linear--or quadratic equation with an exact "solution" is not the point of the game, but it is an interesting concept to puzzle over. Perhaps in the distant future humanity may find the solution to the game that it invented in the distant past. Any thoughts?