Snieder R. A Guided Tour of Mathematical Physics

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Samizdat Press, 1994. - 266 pages.

Mathematical methods are essential tools for all physical scientists. This edition provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students in this area. In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are well integrated. The mathematical insights that the student acquires are therefore driven by their physical insight. Topics that are covered include vector calculus, linear algebra, Fourier analysis, scale analysis, complex integration, Green's functions, normal modes, tensor calculus, and perturbation theory. The second edition contains new chapters on dimensional analysis, variational calculus, and the asymptotic evaluation of integrals. This book can be used by undergraduates, and lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks.

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Ames W.F., Harrel E.M., Herod J.V. (editors). Differential Equations with Applications to Mathematical Physics

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Academic Press, 1993. - 368 pages. In this volume in the "Mathematics in Science and Engineering" series, contributors from North America, Europe and Japan present articles at the forefront of research in differential equational and mathematical physics. Topics covered include nonlinear differential and integral equations, semiclassical quantum mechanics, spectral and scattering theory, and symmetry analysis. This book should be of interest to r...

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Birkhauser, 2004. - 390 Pages. Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and mathematics to easily and rapidly solve and explore most problems they encounter in their mathematical physics studies. While the aim of this text is to illustrate applications, a brief synopsis of the fundamentals for each topic is presented, the topics being organized to correlate with t...

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Publisher: Birkh?usеr, Bоston, 1988, 427 pages Authors of this book have collected the material on special functions that is most important in mathematical physics and quantum mechanics. They have not attempted to provide the most extensive collection possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other...

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Academic Press, 1980. - 400 pages. This book is the first of a multi-volume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes des...

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Academic Press, 1978. - 325 pages. Bestseller of the XXth Century in Mathematical Physics voted on by participants of the XIIIth International Congress on Mathematical Physics. This revision will make this book more attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in mathematical physics. This book covers the theory of eigenvalues of S...

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Cambridge University Press, 2009. - 820 pages. An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics - differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, in...