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.