國立虎尾科技大學 |

The Mathematical Theory of Time-Harmonic Maxwell's Equations = Expansion-, Integral-, and Variational Methods /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Mathematical Theory of Time-Harmonic Maxwell's Equations/ by Andreas Kirsch, Frank Hettlich.
其他題名:	Expansion-, Integral-, and Variational Methods /
作者:	Kirsch, Andreas.
其他作者:	Hettlich, Frank.
面頁冊數:	XIII, 337 p. 3 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-11086-8
ISBN:	9783319110868

The Mathematical Theory of Time-Harmonic Maxwell's Equations = Expansion-, Integral-, and Variational Methods /
Kirsch, Andreas.

The Mathematical Theory of Time-Harmonic Maxwell's EquationsExpansion-, Integral-, and Variational Methods /[electronic resource] :by Andreas Kirsch, Frank Hettlich. - 1st ed. 2015. - XIII, 337 p. 3 illus., 1 illus. in color.online resource. - Applied Mathematical Sciences,1900066-5452 ;. - Applied Mathematical Sciences,191.

Introduction -- Expansion into Wave Functions -- Scattering From a Perfect Conductor -- The Variational Approach to the Cavity Problem -- Boundary Integral Equation Methods for Lipschitz Domains -- Appendix -- References -- Index.

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.

ISBN: 9783319110868

Standard No.: 10.1007/978-3-319-11086-8doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

The Mathematical Theory of Time-Harmonic Maxwell's Equations = Expansion-, Integral-, and Variational Methods /
LDR:02799nam a22004095i 4500 001 963093
003 DE-He213
005 20200629142446.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319110868 $9 978-3-319-11086-8
024 7 $a 10.1007/978-3-319-11086-8 $2 doi
035 $a 978-3-319-11086-8
050 4 $a QA370-380
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.353 $2 23
100 1 $a Kirsch, Andreas. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 785476
245 1 4 $a The Mathematical Theory of Time-Harmonic Maxwell's Equations $h [electronic resource] : $b Expansion-, Integral-, and Variational Methods / $c by Andreas Kirsch, Frank Hettlich.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a XIII, 337 p. 3 illus., 1 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Applied Mathematical Sciences, $x 0066-5452 ; $v 190
505 0 $a Introduction -- Expansion into Wave Functions -- Scattering From a Perfect Conductor -- The Variational Approach to the Cavity Problem -- Boundary Integral Equation Methods for Lipschitz Domains -- Appendix -- References -- Index.
520 $a 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.
650 0 $a Partial differential equations. $3 1102982
650 0 $a Functional analysis. $3 527706
650 0 $a Applied mathematics. $3 1069907
650 0 $a Engineering mathematics. $3 562757
650 0 $a Numerical analysis. $3 527939
650 1 4 $a Partial Differential Equations. $3 671119
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Mathematical and Computational Engineering. $3 1139415
650 2 4 $a Numerical Analysis. $3 671433
700 1 $a Hettlich, Frank. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1064439
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319110875
776 0 8 $i Printed edition: $z 9783319110851
776 0 8 $i Printed edition: $z 9783319379180
830 0 $a Applied Mathematical Sciences, $x 0066-5452 ; $v 191 $3 1254006
856 4 0 $u https://doi.org/10.1007/978-3-319-11086-8
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)