„Applied Mathematical Sciences“: „Acoustic and Electromagnetic Equations“
Jean-Claude Nedelec
2013-06 · Applied Mathematical Sciences Leidimo Nr. 144 · Springer Science & Business Media
El. knyga
318
Puslapiai
reportĮvertinimai ir apžvalgos nepatvirtinti. Sužinokite daugiau
Apie šią el. knygą
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.
Įvertinti šią el. knygą
Pasidalykite savo nuomone.
Skaitymo informacija
Išmanieji telefonai ir planšetiniai kompiuteriai
Įdiekite „Google Play“ knygų programą, skirtą „Android“ ir „iPad“ / „iPhone“. Ji automatiškai susinchronizuojama su paskyra ir jūs galite skaityti tiek prisijungę, tiek neprisijungę, kad ir kur būtumėte.
Nešiojamieji ir staliniai kompiuteriai
Galite klausyti garsinių knygų, įsigytų sistemoje „Google Play“ naudojant kompiuterio žiniatinklio naršyklę.
El. knygų skaitytuvai ir kiti įrenginiai
Jei norite skaityti el. skaitytuvuose, pvz., „Kobo eReader“, turite atsisiųsti failą ir perkelti jį į įrenginį. Kad perkeltumėte failus į palaikomus el. skaitytuvus, vadovaukitės išsamiomis pagalbos centro instrukcijomis.
