The Mathematical Theory of Time-Harmonic Maxwell's Equations: Expansion-, Integral-, and Variational Methods (Applied Mathematical Sciences, #190)

by Andreas Kirsch and Frank Hettlich

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This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful in designing graduate courses for mathematically orientated students on electromagnetic wave propagation problems. The students should have some knowledge on vector analysis (curves, surfaces, divergence theorem) and functional analysis (normed spaces, Hilbert spaces, linear and bounded operators, dual space). Written in an accessible manner, topics are first approached with simpler scale Helmholtz Equations before turning to Maxwell Equations. There are examples and exercises throughout the book. It will be useful for graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.
  • ISBN13 9783319379180
  • Publish Date 23 August 2016 (first published 2 December 2014)
  • Publish Status Active
  • Publish Country CH
  • Imprint Springer International Publishing AG
  • Edition Softcover reprint of the original 1st ed. 2015
  • Format Paperback
  • Pages 337
  • Language English