عنوان

Ellipsoidal harmonics: theory and applications

Ellipsoidal harmonics: theory and applications

Cambridge, UK

Cambridge University Press

c2012

xvi, 458 p. : ill

Encyclopedia of mathematics and its applications

146

Includes bibliographical references )p.436-452( and index

George Dassios, University of Patras, Greece

Machine generated contents note: Prologue; 1. The ellipsoidal system and its geometry; 2. Differential operators in ellipsoidal geometry; 3. Lame 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; 01. Ellipsoidal bi-harmonic functions; 11. Vector ellipsoidal harmonics; 21. Applications to geometry; 31. Applications to physics; 41. Applications to low-frequency scattering theory; 51. Applications to bioscience; 61. 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 Lame equation; Appendix F. Table of formulae; Appendix G. Miscellaneous relations; Bibliography; Index

، Lame's functions

، MATHEMATICS / General

Dassios, George

AU

TI

SE