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Ellipsoidal Harmonics: Theory and Applications

George Dassios
Publisher: 
Cambridge University Press
Publication Date: 
2012
Number of Pages: 
458
Format: 
Hardcover
Series: 
Encyclopedia of Mathematics and Its Applications 146
Price: 
110.00
ISBN: 
9780521113090
Category: 
Monograph
We do not plan to review this book.

Prologue
1. The ellipsoidal system and its geometry
2. Differential operators in ellipsoidal geometry
3. Lamé functions
4. Ellipsoidal harmonics
5. The theory of Niven and Cartesian harmonics
6. Integration techniques
7. Boundary value problems in ellipsoidal geometry
8. Connection between sphero-conal and ellipsoidal harmonics
9. The elliptic functions approach
10. Ellipsoidal bi-harmonic functions
11. Vector ellipsoidal harmonics
12. Applications to geometry
13. Applications to physics
14. Applications to low-frequency scattering theory
15. Applications to bioscience
16. Applications to inverse problems
Epilogue
Appendix A. Background material
Appendix B. Elements of dyadic analysis
Appendix C. Legendre functions and spherical harmonics
Appendix D. The fundamental polyadic integral
Appendix E. Forms of the Lamé equation
Appendix F. Table of formulae
Appendix G. Miscellaneous relations
Bibliography
Index.

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