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[ 洋図書 ] Ellipsoidal harmonics : theory and applications / ( Encyclopedia of mathematics and its applications ; 146 )

George Dassios. -- Cambridge University Press, -- 2012. --

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ISBN 0521113091 (hardback)
ISBN13桁 9780521113090 (hardback)
テキストの言語 英語                  
分類：NDC10版 410.8
個人著者標目 Dassios, G.
姓名の完全形 (George)
本タイトル Ellipsoidal harmonics :
タイトル関連情報 theory and applications /
著者名 George Dassios.
出版地・頒布地 Cambridge, UK :
出版者・頒布者名 Cambridge University Press,
出版年・頒布年 2012.
数量 xvi, 458 p. :
他の形態的事項 ill. ;
大きさ 24 cm.
書誌注記 Includes bibliographical references (p. [436]-452) and index.
内容注記 Prologue -- The ellipsoidal system and its geometry -- Differential operators in ellipsoidal geometry -- Lamé functions -- Ellipsoidal harmonics -- The theory of Niven and Cartesian harmonics -- Integration techniques -- Boundary value problems in ellipsoidal geometry -- Connection between harmonics -- The elliptic functions approach -- Ellipsoidal biharmonic functions -- Vector ellipsoidal harmonics -- Applications to geometry -- Applications to physics -- Applications to low-frequency scattering theory -- Applications to bioscience -- Applications to inverse problems -- Epilogue -- Appendix A. Background material -- Appendix B. Elements of dyadic analysis -- Appendix C. Legendre functions and spherical harmonics -- Appendix D. The fundamental polyadic integral -- Appendix E. Forms of the Lamé equation -- Appendix F. Table of formulae -- Appendix G. Miscellaneous relations.
要約、抄録、注釈等 "The sphere is what might be called a perfect shape. Unfortunately nature is imperfect and many bodies are better represented by an ellipsoid. The theory of ellipsoidal harmonics, originated in the nineteenth century, could only be seriously applied with the kind of computational power available in recent years. This, therefore, is the first book devoted to ellipsoidal harmonics. Topics are drawn from geometry, physics, biosciences and inverse problems. It contains classical results as well as new material, including ellipsoidal bi-harmonic functions, the theory of images in ellipsoidal geometry and vector surface ellipsoidal harmonics, which exhibit an interesting analytical structure. Extended appendices provide everything one needs to solve formally boundary value problems. End-of-chapter problems complement the theory and test the reader's understanding. The book serves as a comprehensive reference for applied mathematicians, physicists, engineers and for anyone who needs to know the current state of the art in this fascinating subject"--
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 v. 146.
シリーズ名・巻次 Encyclopedia of mathematics and its applications ; 146
一般件名 Lamé's functions.
MATHEMATICS -- General.
資料情報1 『Ellipsoidal harmonics : theory and applications /』（Encyclopedia of mathematics and its applications ; 146）　George Dassios.　Cambridge University Press,　2012. （所蔵館：中央　 請求記号：F/410.8/E56/E1-146　 資料コード：7102017361）
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352002949

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