ENGLISH

Ellipsoidal Harmonics: Theory and Applications

By George Dassios

Book information

Publisher
Cambridge University Press
Year
2012
ISBN
0521113091, 9780521113090
Language
english
Format
PDF
Filesize
4 MB (3784908 bytes)
Series
Encyclopedia of Mathematics and its Applications 146
Pages
xvi+458\476
Time added
2018-03-10 07:53:08
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Description

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 biharmonic 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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