The development of mathematical methods that are applied to the problems in physics is known as mathematical physics. It integrates the study of mathematics and physics. This field uses research to study and solve problems of physics within the framework of mathematics. A broad range of academic realm is covered by this field. It is primarily used for the expansion and elucidation of the existing physical theories within the rigorous mathematical framework. The various branches of this domain are classical mechanics, quantum theory, statistical mechanics, relativity and quantum relativistic theories, and partial differential equations. This book elucidates the concepts and innovative models around prospective developments with respect to this discipline. It includes some of the vital pieces of work being conducted across the world, on various topics related to mathematical physics. This book will prove to be immensely beneficial to students and researchers in this field.