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Mathematical methods in electromagnetism. Linear theory and applications. (English) Zbl 0917.65099
Series on Advances in Mathematics for Applied Sciences. 41. Singapore: World Scientific Publishers. xiv, 376 p. (1996).
Publisher’s description: This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a numerical approach. As examples of applications of these tools and concepts, we solve several fundamental problems of electromagnetism, stationary or time-dependent: scattering of an incident wave by an obstacle, bounded or not, by gratings; wave propagation in a waveguide, with junctions and cascades. We hope that mathematical notions will allow a better understanding of modelization in electromagnetism and emphasize the essential features related to the geometry and nature of materials.

65Z05 Applications to the sciences
00A79 Physics (Use more specific entries from Sections 70-XX through 86-XX when possible)
78-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to optics and electromagnetic theory
35Q60 PDEs in connection with optics and electromagnetic theory