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Book
Ellipsoidal harmonics : theory and applications
Author:
ISBN: 9780521113090 9781139518154 1139518151 9781139017749 1139017748 0521113091 9781139516303 1139516302 1107222591 1280773790 9786613684561 1139517228 1139514652 1139513729 9781107222595 9781280773792 6613684562 9781139517225 9781139514651 9781139513722 Year: 2012 Volume: 146 Publisher: Cambridge : Cambridge University Press,

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Abstract

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.


Book
Simple-periodic and non-periodic Lamé functions
Author:
ISBN: 9061961300 Year: 1977 Publisher: Amsterdam

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