Ellipsoidal Harmonics

Theory and Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Calculus
Cover of the book Ellipsoidal Harmonics by Professor George Dassios, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Professor George Dassios ISBN: 9781107263420
Publisher: Cambridge University Press Publication: July 12, 2012
Imprint: Cambridge University Press Language: English
Author: Professor George Dassios
ISBN: 9781107263420
Publisher: Cambridge University Press
Publication: July 12, 2012
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book State Building in Putin’s Russia by Professor George Dassios
Cover of the book The Struggle for the Files by Professor George Dassios
Cover of the book British Plant Communities: Volume 3, Grasslands and Montane Communities by Professor George Dassios
Cover of the book The Rise of the Global Company by Professor George Dassios
Cover of the book Defending Rorty by Professor George Dassios
Cover of the book The Politics of Justice in European Private Law by Professor George Dassios
Cover of the book When Hollywood Was Right by Professor George Dassios
Cover of the book Salt Tectonics by Professor George Dassios
Cover of the book Matrix Analysis by Professor George Dassios
Cover of the book Geometric and Topological Methods for Quantum Field Theory by Professor George Dassios
Cover of the book Engaging the Disengaged by Professor George Dassios
Cover of the book Lectures on Quantum Mechanics by Professor George Dassios
Cover of the book Syntactic Islands by Professor George Dassios
Cover of the book Writing in Real Time by Professor George Dassios
Cover of the book Uptalk by Professor George Dassios
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy