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Informationen zum Autor George Dassios is Professor of Applied Mathematics at the University of Patras, Greece and at ICE-FT/FORTH (a research institute in Greece). Klappentext The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject. Zusammenfassung The first book in the literature devoted to ellipsoidal harmonics includes topics drawn from geometry! physics! biosciences and inverse problems. It serves as a reference for applied mathematicians and for anyone else who needs to know the current state of the art in this fascinating subject. Inhaltsverzeichnis 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.
