|The Institute of Physics (IOP) has written a report that examines the relationship between mathematics and physics.|
There is no completely agreed upon definition of mathematical physics, which is closer to mathematics that physics in most respects. The IOP report puts it like this;
Mathematical physics is best described as consisting of two parts: physical research that proceeds primarily through mathematical means and areas of mathematics that work to solve the problems posed by physics.
The Journal of Mathematical Physics define mathematical physics as;
…the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories.
The IOP booklet looks at a wide range of topics in mathematical physics from quantum mechanics, gravity & black holes, random matrix theory, solitons and topological insulators.