Mathematical Physics

Description

The theory of mathematical physics was developed almost concurrently with the mathematical fields which involve linear algebra, spectral theory of operators and more broadly functional analysis. The special and general theories of relativity require a rather different type of mathematics. This was group theory and it played an important role in both quantum field theory and differential geometry. This was, however, gradually supplemented by topology in the mathematical description of cosmological as well as quantum field theory phenomena. Mathematical physics forms a separate field, which is closely related with the more mathematical ergodic theory with involvement of physics along with probability theory. The usage of the term ‘Mathematical physics’ is sometimes idiosyncratic. Certain parts of mathematics that initially arose from the development of physics are not considered parts of mathematical physics, with other closely related fields. This book sheds light on subjects like the history and overview of mathematical physics, relativity and quantum era, the principle of relativity, Physics of spiral in consciousness units, characteristic equation of a matrix, Bohr’s idea of mathematical physics, vector spaces, etc.