Mathematical methods for physicists

Matrices, exponential operators and physical applications -- Ordinary and partial differential equations, evolution operator method and applications -- Hermite polynomials and applications -- Laguerre polynomials, integral operators and applications -- Exercises and complements I -- Exercises and complements II -- Exercises and complements III -- Exercises and complements IV -- Special functions, umbral methods and applications -- A glimpse into the math of the Feynman diagrams.;"The book covers different aspects of mathematical methods for Physics. It is designed for graduate courses but a part of it can also be used by undergraduate students. The leitmotiv of the book is the search for a common mathematical framework for a wide class of apparently disparate physical phenomena. An important role, within this respect, is provided by a nonconventional formulation of special functions and polynomials. The proposed methods simplify the understanding of the relevant technicalities and yield a unifying view to their applications in Physics as well as other branches of science."--Back cover.