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Google圖書搜尋
Ellipsoidal Harmonics
George Dassios
其他書名
Theory and Applications
出版
Cambridge University Press
, 2012-07-12
主題
Mathematics / General
Mathematics / Applied
Mathematics / Calculus
Mathematics / Differential Equations / General
Mathematics / Mathematical Analysis
ISBN
0521113091
9780521113090
URL
http://books.google.com.hk/books?id=QBtRUNsWcxgC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.