Advanced Mathematical Physics

In mathematical physics, new problems in physics give rise to new mathematics to solve them, while new mathematics open doors to understandings of the physical universe. Newton invented modern calculus because he needed it to understand mechanics" and calculus went on to redefine all of physics. The development of quantum theory in the 20th century both spurred and was spurred by advances in mathematical fields such as linear algebra and functional analysis. There are several distinct branches of mathematical physics, and these roughly correspond to particular historical periods. The rigorous, abstract and advanced re-formulation of Newtonian mechanics adopting the Lagrangian mechanics and the Hamiltonian mechanics even in the presence of constraints. This book aims to deal with the main topics that are necessary to understand Mathematical Physics. This book is designed for graduate and postgraduate students of physics and engineering.