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Applied Mathematical Sciences

The Mathematical Theory of Time-Harmonic Maxwell's Equations

Expansion-, Integral-, and Variational Methods

Authors: Kirsch, Andreas, Hettlich, Frank

  • Written by well known international researchers based on their lectures between 2007 and 2013
  • Accessible to broad audience with examples and exercises throughout
  • Topics are first approached with simpler scalar Helmholtz equations before turning to Maxwell equations
  • Appendix material includes results from functional analysis, vector calculus, and differential geometry
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eBook 51,16 €
price for Spain (gross)
  • ISBN 978-3-319-11086-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-319-11085-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,39 €
price for Spain (gross)
  • ISBN 978-3-319-37918-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

About the authors

Andreas Kirsch and Frank Hettlich are Professors of Mathematics at Karlsruher Institut für Technologie (KIT).

Reviews

“This book is devoted to the study of the Maxwell equations in relationship with the basic techniques for a thorough mathematical analysis of these equations. … Numerous examples and exercises illustrate the abstract content of this book. The volume under review is useful to graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.” (Teodora-Liliana Rădulescu, zbMATH 1342.35004, 2016)


Table of contents (5 chapters)

  • Introduction

    Kirsch, Andreas (et al.)

    Pages 1-20

    Preview Buy Chapter 30,19 €
  • Expansion into Wave Functions

    Kirsch, Andreas (et al.)

    Pages 21-94

    Preview Buy Chapter 30,19 €
  • Scattering from a Perfect Conductor

    Kirsch, Andreas (et al.)

    Pages 95-163

    Preview Buy Chapter 30,19 €
  • The Variational Approach to the Cavity Problem

    Kirsch, Andreas (et al.)

    Pages 165-225

    Preview Buy Chapter 30,19 €
  • Boundary Integral Equation Methods for Lipschitz Domains

    Kirsch, Andreas (et al.)

    Pages 227-311

    Preview Buy Chapter 30,19 €

Buy this book

eBook 51,16 €
price for Spain (gross)
  • ISBN 978-3-319-11086-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 67,59 €
price for Spain (gross)
  • ISBN 978-3-319-11085-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 62,39 €
price for Spain (gross)
  • ISBN 978-3-319-37918-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematical Theory of Time-Harmonic Maxwell's Equations
Book Subtitle
Expansion-, Integral-, and Variational Methods
Authors
Series Title
Applied Mathematical Sciences
Series Volume
190
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-11086-8
DOI
10.1007/978-3-319-11086-8
Hardcover ISBN
978-3-319-11085-1
Softcover ISBN
978-3-319-37918-0
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XIII, 337
Number of Illustrations
2 b/w illustrations, 1 illustrations in colour
Topics