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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Acoustic and Electromagnetic Equations
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Acoustic and Electromagnetic Equations
Jean-Claude Nedelec (Gebundene Ausgabe, Englisch)
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Beschreibung
This book is devoted to the study of the acoustic wave equation and of the Maxwell system, the two most common wave equations encountered in physics or in engineering. The main goal is to present a detailed analysis of their mathematical and physical properties. Wave equations are time dependent. However, use of the Fourier trans form reduces their study to that of harmonic systems: the harmonic… Helmholtz equation, in the case of the acoustic equation, or the har monic Maxwell system. This book concentrates on the study of these harmonic problems, which are a first step toward the study of more general time-dependent problems. In each case, we give a mathematical setting that allows us to prove existence and uniqueness theorems. We have systematically chosen the use of variational formulations related to considerations of physical energy. We study the integral representations of the solutions. These representa tions yield several integral equations. We analyze their essential properties. We introduce variational formulations for these integral equations, which are the basis of most numerical approximations. Different parts of this book were taught for at least ten years by the author at the post-graduate level at Ecole Poly technique and the University of Paris 6, to students in applied mathematics. The actual presentation has been tested on them. I wish to thank them for their active and constructive participation, which has been extremely useful, and I apologize for forcing them to learn some geometry of surfaces. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
30.03.2001
Sprache
Englisch
EAN
9780387951553
Herausgeber
Springer US
Serien- oder Bandtitel
Applied Mathematical Sciences
Sonderedition
Nein
Autor
Jean-Claude Nedelec
Seitenanzahl
318
Einbandart
Gebundene Ausgabe
Buch Untertitel
Integral Representations for Harmonic Problems
Schlagwörter
Helmholtz equation, Maxwell equation, Wave, acoustic wave equation, electromagnetic wave, mathematical modeling, modeling, operator, wave equation
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PHK - Elektrizität, Magnetismus und Elektromagnetismus
PHDS - Wellenmechanik (Vibration und Akustik)
UYQ - Künstliche Intelligenz
THR - Elektrotechnik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Humana, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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