Mathematical Physics

The mathematical methods that are used for solving the problem in physics are referred to as mathematical physics. According to the Journal of Mathematical Physics, is referred to 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 vector analysis, the Fourier analysis, Variational calculus and potential theory are closely related to mathematical physics. The application of these theories and the partial differential equations theory are implemented in celestial mechanics, hydrodynamics, acoustics, elasticity theory, magnetism, thermodynamics and aerodynamics.

The mathematical basis for the other wing of the mathematical physics is constituted by the theory of atomic spectra which is developed concomitantly with the fields of linear algebra, functional analysis, and the spectral theory of operators. The group theory forms the more special and general theories of relativity. This group theory had an important part in the differential geometry and the quantum field theory. Topology with its contribution in the mathematical description of the quantum field theory and the cosmological phenomena has supplemented the group theory.

Isaac Newton:

The English mathematician and the physicist Isaac Newton has come up with a wealth of new mathematics of which certain important concepts are calculus and several other numerical methods which are utilized in solving the problems with physics. Dutchman Christiaan Huygens has been considered as another important mathematical physicist of the 17^th century. Dutchman Christiaan Huygens was popular for his contribution with the wave theory of light. After this came Daniel Bernoulli and the Leonhard Euler were considered as the two important innovators of the mathematical physics in the eighteenth century.

Special relativity:

The birth of the special relativity took place in the late nineteenth century which was anticipated in the works or Dutchman, Hendrik Lorentz and Jules-Henri Poincare. But Albert Einstein is the one who brought full clarity about this concept. To reach the notable geometrical approach to the gravitational physics, Albert Einstein has come up with an invariant approach. This approach was basically built on the non-Euclidean geometry which was created by Riemann and Gauss in the seventh century.

Einstein:

The Galilean transformations were replaced later by the special relativity which was generated by Einstein. Even the Euclidean geometry and the Riemannian manifold have been replaced by Einstein’s general theory. Quantum theory has been considered as another revolutionary theory of the twentieth century which is mainly based on the contributions of the Einstein work on Photoelectric effect and Max Planck.

Questions:

• What is mathematics physics?
• What is the contribution of Einstein to Mathematical Physics?