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Separable Boundary-Value Problems in Physics [Repost]

Posted By: ChrisRedfield
Separable Boundary-Value Problems in Physics [Repost]

Morten Willatzen, Lok C. Lew Yan Voon - Separable Boundary-Value Problems in Physics
Published: 2011-05-23 | ISBN: 3527410201 | PDF | 398 pages | 5.1 MB


Innovative developments in science and technology require athorough knowledge of applied mathematics, particularly in thefield of differential equations and special functions. These arerelevant in modeling and computing applications of electromagnetictheory and quantum theory, e.g. in photonics and nanotechnology.The problem of solving partial differential equations remains animportant topic that is taught at both the undergraduate andgraduate level.
Separable Boundary-Value Problems in Physics is anaccessible and comprehensive treatment of partial differentialequations in mathematical physics in a variety of coordinatesystems and geometry and their solutions, including a differentialgeometric formulation, using the method of separation of variables.With problems and modern examples from the fields ofnano-technology and other areas of physics.
The fluency of the text and the high quality of graphics makethe topic easy accessible. The organization of the content bycoordinate systems rather than by equation types is unique andoffers an easy access.
The authors consider recent research results which have led to amuch increased pedagogical understanding of not just this topic butof many other related topics in mathematical physics, andwhichlike the explicit discussion on differential geometryshows - yet have not been treated in the older texts. To thebenefit of the reader, a summary presents a convenient overview onall special functions covered. Homework problems are included aswell as numerical algorithms for computing special functions. Thusthis book can serve as a reference text for advanced undergraduatestudents, as a textbook for graduate level courses, and as aself-study book and reference manual for physicists, theoreticallyoriented engineers and traditional mathematicians.

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