Ellipsoidal Harmonics


Ellipsoidal Harmonics
Author: George Dassios
Publisher: Cambridge University Press
ISBN: 1139510134
Size: 48.13 MB
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Ellipsoidal Harmonics

Ellipsoidal Harmonics by George Dassios, Ellipsoidal Harmonics Books available in PDF, EPUB, Mobi Format. Download Ellipsoidal Harmonics books, 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.


Ellipsoidal Harmonics
Language: en
Pages:
Authors: George Dassios
Categories: Mathematics
Type: BOOK - Published: 2012-07-12 - Publisher: Cambridge University Press
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,
An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics
Language: en
Pages: 287
Authors: William Elwood Byerly
Categories: Fourier series
Type: BOOK - Published: 1895 - Publisher:
Books about An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics
the theory of spherical and ellipsoidal harmonics
Language: en
Pages:
Authors: E. W. Hobson
Categories: Fourier series
Type: BOOK - Published: - Publisher: CUP Archive
Books about the theory of spherical and ellipsoidal harmonics
The Theory of Spherical and Ellipsoidal Harmonics
Language: en
Pages: 500
Authors: Ernest William Hobson
Categories: Lamé's functions
Type: BOOK - Published: 1955 - Publisher:
Books about The Theory of Spherical and Ellipsoidal Harmonics
The Ultimate Image Singularities for External Spheroidal and Ellipsoidal Harmonics
Language: en
Pages: 18
Authors: Touvia Miloh
Categories: Ellipsoid
Type: BOOK - Published: 1973 - Publisher:
The image system of singularities of an arbitrary exterior potential field within a tri-axial ellipsoid is derived. It is found that the image system consists of a source and doublet distribution over the fundamental ellipsoid. The present contribution is a generalization of previous theories on the image system of an
An Elementary Treatise on Fourier's Series and Spherical, Cylindric, and Ellipsoidal Harmonics
Language: en
Pages: 300
Authors: William Elwood Byerly
Categories: Science
Type: BOOK - Published: 2007 - Publisher: Cosimo, Inc.
First published in 1893, Byerly's classic treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonics has been used in classrooms for well over a century. This practical exposition acts as a primer for fields such as wave mechanics, advanced engineering, and mathematical physics. Topics covered include: . development in
An Elemenatary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics
Language: en
Pages: 287
Authors: William Elwood Byerly
Categories: Fourier series
Type: BOOK - Published: 1893 - Publisher:
Books about An Elemenatary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics
Philosophical Transactions
Language: en
Pages:
Authors: Royal Society (Great Britain)
Categories: Mathematics
Type: BOOK - Published: 1892 - Publisher:
Contains papers on mathematics or physics. Continued by Philosophical transactions, Physical sciences and engineering and Philosophical transactions, Mathematical, physical and engineering sciences.
¬An Elementary Treatise on Spherical Harmonics, and Subjects Connected with Them
Language: en
Pages: 160
Authors: Norman M. Ferrers
Categories: Mathematics
Type: BOOK - Published: 1877 - Publisher:
Books about ¬An Elementary Treatise on Spherical Harmonics, and Subjects Connected with Them
The Theory of spherical and ellipsoidal harmonics
Language: en
Pages: 500
Authors: Ernst William Hobson
Categories: Mathematics
Type: BOOK - Published: 1944 - Publisher:
Books about The Theory of spherical and ellipsoidal harmonics