P.A. Martin. -- Cambridge University Press, -- 2021. --

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ISBN 1108835597 (hardcover)
ISBN13桁 9781108835596 (hardcover)
無効なISBN等 9781108891066 (electronic publication)
テキストの言語 英語                  
分類:NDC10版 410.8
個人著者標目 Martin, P. A.
本タイトル Time-domain scattering /
著者名 P.A. Martin.
出版地・頒布地 Cambridge, United Kingdom ;
出版者・頒布者名 Cambridge University Press,
出版年・頒布年 2021.
数量 xi, 250 pages :
他の形態的事項 illustrations ;
大きさ 24 cm.
書誌注記 Includes bibliographical references (pages [193]-236) and indexes.
内容注記 Acoustics and the wave equation -- Wavefunctions -- Characteristics and discontinuities -- Initial-boundary value problems -- Use of Laplace transforms -- Problems with spherical symmetry -- Scattering by a sphere -- Scattering frequencies and the singularity expansion method -- Integral representations -- Integral equations.
要約、抄録、注釈等 "The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years will be an essential reference on the topic for applied mathematicians, physicists and engineers. Encyclopedia of Mathematics and Its Applications This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the implications and applications. Books in the Encyclopedia of Mathematics and Its Applications cover their subjects comprehensively. Less important results may be summarised as exercises at the ends of chapters. For technicalities, readers can be referred to the bibliography, which is expected to be comprehensive. As a result, volumes are encyclopedic references or manageable guides to major subjects"--Provided by publisher.
統一タイトル(シリーズ副出標目) Encyclopedia of mathematics and its applications ;
シリーズの巻次 180.
シリーズ名・巻次 Encyclopedia of mathematics and its applications; 180
一般件名 Scattering (Mathematics)
Wave equation.
資料情報1 『Time-domain scattering /』(Encyclopedia of mathematics and its applications; 180) P.A. Martin. Cambridge University Press, 2021. (所蔵館:中央  請求記号:F/410.8/E56/E1-180  資料コード:7114566894)
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352051183