Mathematical physics is the field of science that is concerned with the development of mathematical methods for applications to the problems in physics. Partial differential equations and the related areas of Fourier analysis, variational calculus and vector analysis are applied in the domains of celestial mechanics, thermodynamics, hydrodynamics, celestial mechanics, electricity, magnetism, etc. The special and general theories of relativity are built on the mathematical principles of group theory, topology and functional analysis. Statistical mechanics builds on Hamiltonian mechanics that is closely associated with mathematical ergodic theory and probability theory. This book outlines the applications of mathematical physics in detail. Some of the diverse topics covered herein address the varied branches that fall under this category. This book, with its detailed analyses and data, will prove immensely beneficial to professionals and students involved in this area at various levels.