MATHEMATICAL METHODS OF THEORETICAL PHYSICS

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"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.

A Guided Tour of Mathematical Methods for the Physical Sciences (3版)

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Mathematical methods are essential tools for all physical scientists. This book provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students across the physical sciences. In contrast to more traditional textbooks, all the material is presented in the form of exercises. Within these exercises, basic mathematical theory and its applications in the physical sciences are well integrated. In this way, the mathematical insights that readers acquire are driven by their physical-science insight. This third edition has been completely revised: new material has been added to most chapters, and two completely new chapters on probability and statistics and on inverse problems have been added. This guided tour of mathematical techniques is instructive, applied, and fun. This book is targeted for all students of the physical sciences. It can serve as a stand-alone text, or as a source of exercises and examples to complement other textbooks.