Ellipsoidal Harmonics

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The Theory Of Spherical And Ellipsoidal Harmonics

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Author : E. W. Hobson
language : en
Publisher: CUP Archive
Release Date :

The Theory Of Spherical And Ellipsoidal Harmonics written by E. W. Hobson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Ellipsoidal Harmonics

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Author : George Dassios
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-12

Ellipsoidal Harmonics written by George Dassios and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-12 with Mathematics categories.

The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.

An Elementary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics

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Author : William Elwood Byerly
language : en
Publisher:
Release Date : 1893

An Elementary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics written by William Elwood Byerly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Fourier series categories.

An Elementary Treatise On Fourier S Series And Spherical Cylindric And Ellipsoidal Harmonics

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Author : William Elwood Byerly
language : en
Publisher: Cosimo, Inc.
Release Date : 2007-01-01

An Elementary Treatise On Fourier S Series And Spherical Cylindric And Ellipsoidal Harmonics written by William Elwood Byerly and has been published by Cosimo, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Science categories.

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 trigonometric series . convergence on Fourier's series . solution of problems in physics by the aid of Fourier's integrals and Fourier's series . zonal harmonics . spherical harmonics . cylindrical harmonics (Bessel's functions) . and more. Containing 190 exercises and a helpful appendix, this reissue of Fourier's Series will be welcomed by students of higher mathematics everywhere. American mathematician WILLIAM ELWOOD BYERLY (1849-1935) also wrote Elements of Differential Calculus (1879) and Elements of Integral Calculus (1881).

An Elemenatary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics With Applications To Problems In Mathematical Physics

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Author : William Elwood Byerly
language : en
Publisher:
Release Date : 1893

An Elemenatary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics With Applications To Problems In Mathematical Physics written by William Elwood Byerly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Fourier series categories.

Ellipsoidal Harmonics

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Author : George Dassios
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-12

Ellipsoidal Harmonics written by George Dassios and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-12 with Mathematics categories.

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.

Handbook Of Geomathematics

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Author : Willi Freeden
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-13

Handbook Of Geomathematics written by Willi Freeden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-13 with Mathematics categories.

During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as spaceborne data of better and better quality explain the strong need of new mathematical structures, tools, and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important. The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.

The Ultimate Image Singularities For External Spheroidal And Ellipsoidal Harmonics

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Author : Touvia Miloh
language : en
Publisher:
Release Date : 1973

The Ultimate Image Singularities For External Spheroidal And Ellipsoidal Harmonics written by Touvia Miloh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Ellipsoid categories.

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 exterior potential field within a sphere and spheroid. A proof of Havelock's spheroid theorem which apparently is not available in the literature is also given. The knowledge of the image system is required, for example, when hydrodynamical forces and moments acting on an ellipsoid immersed in a potential flow are computed by the Lagally theorem. The two examples given consider the image system of singularities of an ellipsoid in a uniform translatory motion and in pure rotation. (Author).

An Elementary Treatise On Spherical Harmonics And Subjects Connected With Them

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Author : Norman Macleod Ferrers
language : en
Publisher:
Release Date : 1877

An Elementary Treatise On Spherical Harmonics And Subjects Connected With Them written by Norman Macleod Ferrers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1877 with Spherical harmonics categories.