Ellipsoidal Harmonics
(Book #146 in the Encyclopedia of Mathematics and its Applications Series)
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Book Overview
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.
Format:Hardcover
Language:English
ISBN:0521113091
ISBN13:9780521113090
Release Date:October 2012
Publisher:Cambridge University Press
Length:474 Pages
Weight:1.90 lbs.
Dimensions:1.2" x 6.4" x 9.3"
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