"This book could serve either as a good reference to remind students about what they have seen in their completed courses or as a starting point to show what needs more investigation. Svozil (Vienna Univ. of Technology) offers a very thorough text that leaves no mathematical area out, but it is best described as giving a synopsis of each application and how it relates to other areas … The text is organized well and provides a good reference list. Summing Up: Recommended. Upper-division undergraduates and graduate students." CHOICE This book contains very explicit proofs and demonstrations through examples for a comprehensive introduction to the mathematical methods of theoretical physics. It also combines and unifies many expositions of this subject, suitable for readers with interest in experimental and applied physics. Sample Chapter(s) 5: Brief review of complex analysis Request Inspection Copy Contents: Why Mathematics? Linear Vector Spaces: Finite-Dimensional Vector Spaces and Linear Algebra Multilinear Algebra and Tensors Groups as Permutations Projective and Incidence Geometry Functional Analysis: Brief Review of Complex Analysis Brief Review of Fourier Transforms Distributions as Generalized Functions Differential Equations: Green's Function Sturm–Liouville Theory Separation of Variables Special Functions of Mathematical Physics Divergent Series Bibliography Index Readership: Undergraduate students in Mathematical Physics and Computer Science.