• Separable Boundary-Value Problems In Physics

Separable Boundary-Value Problems In Physics

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Описание

Innovative developments in science and technology require a thorough knowledge of applied mathematics, particularly in the field of differential equations and special functions

Homework problems are included as well as numerical algorithms for computing special functions

Separable Boundary-Value Problems in Physics is an accessible and comprehensive treatment of partial differential equations in mathematical physics in a variety of coordinate systems and geometry and their solutions, including a differential geometric formulation, using the method of separation of variables

The authors consider recent research results which have led to a much increased pedagogical understanding of not just this topic but of many other related topics in mathematical physics, and which like the explicit discussion on differential geometry shows yet have not been treated in the older texts

The fluency of the text and the high quality of graphics make the topic easy accessible

The organization of the content by coordinate systems rather than by equation types is unique and offers an easy access

The problem of solving partial differential equations remains an important topic that is taught at both the undergraduate and graduate level

These are relevant in modeling and computing applications of electromagnetic theory and quantum theory, e.g

Thus this book can serve as a reference text for advanced undergraduate students, as a textbook for graduate level courses, and as a self-study book and reference manual for physicists, theoretically oriented engineers and traditional mathematicians.

To the benefit of the reader, a summary presents a convenient overview on all special functions covered

With problems and modern examples from the fields of nano-technology and other areas of physics

In photonics and nanotechnology

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