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Author Dassios, G. (George)
Title Ellipsoidal harmonics [electronic resource] : theory and applications / George Dassios.
Published Cambridge, UK : Cambridge University Press, 2012, ♭2012.
Book Cover

 Electronic Book  QA409 .D37 2012eb    ONLINE
Description 1 online resource (xvi, 458 p.) : ill.
Series Encyclopedia of mathematics and its applications ; 146
Encyclopedia of mathematics and its applications ; v. 146.
Bibliography Includes bibliographical references 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.
Note Description based on print version record.
Subject Lamé's functions.
Related To Print version: Dassios, G. Ellipsoidal harmonics. Cambridge, UK : Cambridge University Press, 2012, ♭2012. 9780521113090 0521113091 (DLC) 2011051233
ISBN 1139017748 (electronic bk.)
9781139017749 (electronic bk.)