國立虎尾科技大學 |

Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics/ G. F. Roach, I. G. Stratis, A. N. Yannacopoulos.
Author:	Roach, G. F.
other author:	Stratis, I. G.
Published:	[Princeton, NJ] :Princeton University Press, : 2012.,
Description:	1 online resource (399 p.)
Subject:	Electromagnetism - Mathematics. -
Online resource:	http://portal.igpublish.com/iglibrary/search/PUPB0001372.html
ISBN:	0691142173

Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics
Roach, G. F.

Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics[electronic resource] /G. F. Roach, I. G. Stratis, A. N. Yannacopoulos. - 1st ed. - [Princeton, NJ] :Princeton University Press,2012. - 1 online resource (399 p.) - Princeton series in applied mathematics. - Princeton series in applied mathematics.

Includes bibliographical references and index.

Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics -- Contents -- Preface -- Part 1: Modelling and Mathematical Preliminaries -- Chapter One: Complex Media -- Chapter Two: The Maxwell Equations and Constitutive Relations -- Chapter Three: Spaces and Operators -- Part 2: Time-Harmonic Deterministic Problems -- Chapter Four: Well Posedness -- Chapter Five: Scattering Problems: Beltrami Fields and Solvability -- Chapter Six: Scattering Problems: A Variety of Topics -- Part 3: Time-Dependent Deterministic Problems -- Chapter Seven: Well Posedness -- Chapter Eight: Controllability -- Chapter Nine: Homogenisation -- Chapter Ten: Towards a Scattering Theory -- Chapter Eleven Nonlinear Problems -- Part 4: Stochastic Problems -- Chapter Twelve: Well Posedness -- Chapter Thirteen: Controllability -- Chapter Fourteen: Homogenisation --

Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory.

ISBN: 0691142173

Source: 808580660001372Subjects--Topical Terms:

598343
Electromagnetism
--Mathematics.

LC Class. No.: QC760.4.M37 / R63 2012eb

Dewey Class. No.: 537.01/519

Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics
LDR:02619nam a2200289 i 4500 001 882852
006 m o d
007 cr cnu---unuuu
008 180307s2012 nju ob 000 0 eng d
020 $a 0691142173
020 $z 9780691142173
020 $a 9781400842650 $q (electronic bk.)
035 $a AiGP131126
037 $a 808580660001372
040 $a UPT $b eng $c UPD $d UPD
041 0 $a eng
050 4 $a QC760.4.M37 $b R63 2012eb
082 0 4 $a 537.01/519 $2 23
100 1 $a Roach, G. F. $3 683790
245 1 0 $a Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics $h [electronic resource] / $c G. F. Roach, I. G. Stratis, A. N. Yannacopoulos.
250 $a 1st ed.
260 $a [Princeton, NJ] : $b Princeton University Press, $c 2012.
300 $a 1 online resource (399 p.)
490 1 $a Princeton series in applied mathematics
504 $a Includes bibliographical references and index.
505 0 $a Mathematical analysis of deterministic and stochastic problems in complex media electromagnetics -- Contents -- Preface -- Part 1: Modelling and Mathematical Preliminaries -- Chapter One: Complex Media -- Chapter Two: The Maxwell Equations and Constitutive Relations -- Chapter Three: Spaces and Operators -- Part 2: Time-Harmonic Deterministic Problems -- Chapter Four: Well Posedness -- Chapter Five: Scattering Problems: Beltrami Fields and Solvability -- Chapter Six: Scattering Problems: A Variety of Topics -- Part 3: Time-Dependent Deterministic Problems -- Chapter Seven: Well Posedness -- Chapter Eight: Controllability -- Chapter Nine: Homogenisation -- Chapter Ten: Towards a Scattering Theory -- Chapter Eleven Nonlinear Problems -- Part 4: Stochastic Problems -- Chapter Twelve: Well Posedness -- Chapter Thirteen: Controllability -- Chapter Fourteen: Homogenisation --
505 8 $a Part 5: Appendices -- Appendix A: Some Facts from Functional Analysis -- Appendix B: Some Facts from Stochastic Analysis -- Appendix C: Some Facts from Elliptic Homogenisation Theory -- Appendix D: Some Facts from Dyadic Analysis -- Appendix E: Notation and Abbreviations -- Bibliography -- Index.
520 3 $a Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important applications, these materials have been intensely studied over the past twenty-five years, mainly from the perspectives of physics and engineering. But a body of rigorous mathematical theory has also gradually developed, and this is the first book to present that theory.
650 0 $a Electromagnetism $x Mathematics. $3 598343
650 0 $a Stochastic control theory. $3 570238
650 0 $a Mathematical analysis. $3 527926
700 1 $a Stratis, I. G. $q (Ioannis G.), $d 1955- $3 1136840
700 1 $a Yannacopoulos, A. N. $q (Athanasios N.), $d 1968- $3 1136841
830 0 $a Princeton series in applied mathematics $3 1136842
856 4 0 $u http://portal.igpublish.com/iglibrary/search/PUPB0001372.html