George E. Kevin Broughan. Wilfrid Hodges. Lowell W. Grzegorz Tomkowicz.

## Ellipsoidal Harmonics: Theory and Applications by George Dassios (Hardback, 2012)

Gunther Schmidt. Mourad E. Nathalie Caspard. Nathaniel F.

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Rolf Schneider. Valerie Berthe. Jan Krajicek. Bestselling Series. Harry Potter. Popular Features. New Releases. Free delivery worldwide. 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.

## Education:

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.

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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. Bestsellers in Geometry. Add to basket. Ruler and Compass Andrew Sutton.

Euclid's Elements Euclid. Introduction to Topology Bert Mendelson. Geometry Snacks Ed Southall. Projective Geometry Olive Whicher. Computational Geometry Mark de Berg. Which One Doesn't Belong? Islamic Design Daud Sutton. Quadrivium Miranda Lundy. Mathematics A. Six Books of Euclid Werner Oechslin.

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Original Area Mazes, Vol. Touchthinklearn: Shapes Xavier Deneux. Measurement Paul Lockhart. A Geometry of Music Dmitri Tymoczko. Prime Obsession John Derbyshire. Calculus Michael Spivak. Sacred Geometry Robert Lawlor. How to Solve It Georg Polya. More Geometry Snacks Ed Southall. Symmetry David Wade. Curves for the Mathematically Curious Julian Havil. Symmetry Hermann Weyl. The Geometry of an Art Kirsti Andersen.

The Beauty of Geometry H. New Horizons in Geometry Tom M. Introducing Fractals Nigel Lesmoir-Gordon. Circus Shapes Stuart J.

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Relational Mathematics Gunther Schmidt. Finite Ordered Sets Nathalie Caspard. Mathematical Theory of Entropy Nathaniel F. Proof Complexity Jan Krajicek.

Table of contents Prologue; 1. The ellipsoidal system and its geometry; 2. Daud Sutton. Allen Hatcher.