(DOWNLOAD) "Ellipsoidal Harmonics" by George Dassios ~ eBook PDF Kindle ePub Free

May 28, 2021

eBook details

Title: Ellipsoidal Harmonics
Author : George Dassios
Release Date : January 12, 2012
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 114003 KB

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.

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