中图分类法:
O174.3 版次:
著者:
Dassios, G.
题名:
Ellipsoidal harmonics : [ theory and applications /] / ,
出版发行:
出版地: Cambridge, UK : 出版社: Cambridge University Press, 出版日期: 2012.
载体形态:
xvi, 458 p. : ill. ; 25 cm.
内容提要:
"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"-- Provided by publisher.
主题词:
Lamé's functions.