Free Ebook Ellipsoidal Harmonics (Encyclopedia of Mathematics and its Applications, 146), by George Dassios
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Ellipsoidal Harmonics (Encyclopedia of Mathematics and its Applications, 146), by George Dassios
Free Ebook Ellipsoidal Harmonics (Encyclopedia of Mathematics and its Applications, 146), by George Dassios
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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.
- Sales Rank: #3157951 in eBooks
- Published on: 2012-07-12
- Released on: 2013-08-02
- Format: Kindle eBook
About the Author
George Dassios is Professor of Applied Mathematics at the University of Patras, Greece and at ICE-FT/FORTH (a research institute in Greece).
Most helpful customer reviews
0 of 0 people found the following review helpful.
Five Stars
By Thomas Klotz
Great resource on the theory of Ellipsoidal Harmonics. Author does a good job with presentation of the material.
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