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＜電子ブック＞
Ellipsoidal Harmonics : Theory and Applications / George Dassios
(Encyclopedia of Mathematics and its Applications ; 146)

出版者	Cambridge : Cambridge University Press
出版年	2012
大きさ	1 online resource (474 pages) : digital, PDF file(s)
著者標目	*Dassios, George author
件　名	LCSH:Lamé's functions
一般注記	Title from publisher's bibliographic system (viewed on 11 Nov 2016) 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 HTTP:URL=http://dx.doi.org/10.1017/CBO9781139017749

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