Ellipsoidal harmonics: theory and applications, Vol. 146

By:

Dassios, George

Series: Encyclopedia of mathematics and its applicationsPublication details: Cambridge University Press, 2012. Cambridge:Description: xvi; 458 p. hb; 24 cmISBN:

9780521113090

Subject(s):

DDC classification:

515.53 DAS

Summary: 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.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	515.53 DAS (Browse shelf(Opens below))	1	Available		029028

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Previous	515.5 NIC Special functions: an introduction to the classical functions of mathematical physics	515.52 FAR Solved problems in analysis: as applied to gamma, beta, Legendre, and Bessel functions	515.53 BOW Introduction to Bessel functions	515.53 DAS Ellipsoidal harmonics: theory and applications, Vol. 146	515.53 LUK Integrals of Bessel functions	515.55 AND Special functions	515.55 BEA Special functions and orthogonal polynomials	Next

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.

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