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Ellipsoidal harmonics : theory and applications / George Dassios.

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Author/Creator:
Dassios, G. (George)
Language:
English.
Publication date:
2012
Copyright date:
2012
Imprint:
Cambridge, UK : Cambridge University Press, 2012, ©2012.
Format:
  • Book
  • xvi, 458 pages : illustrations ; 24 cm.
Bibliography:
Includes bibliographical references (pages [436]-452) and index.
Contents:
  • Machine generated contents note: 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.
Series:
Encyclopedia of mathematics and its applications ; 146
Encyclopedia of mathematics and its applications ; v. 146.
Subjects:
ISBN:
9780521113090
0521113091

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