Ellipsoidal harmonics
theory and applications
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Author
Publication
2012 - Cambridge University Press, Cambridge, England
Language
English
Word Count
118,500 words, Guess
Page Count
474 pages
Identifiers
- ISBN-100521113091
- ISBN-139780521113090
- Library of Congress Control Number2011051233
- OCLC Control Number774016637
- Better World Books9780521113090
and 1 more
- Open LibraryOL25186471M
Classifications
- DDC515/.53
- LCCQA409 .D37 2012
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 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"--
Subjects
Topics
Series Statement
- Encyclopedia of mathematics and its applications -- 146
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