청구기호 |
QA409 D37 2012 |
형태사항 |
xvi, 458 p. : ill. ; 25 cm.
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총서명 |
Encyclopedia of mathematics and its applications ; 146
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언어 |
영어 |
서지주기 |
Includes bibliographical references (p. 436-452) and index.
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내용 |
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; 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 Lame? equation; Appendix F. Table of formulae; Appendix G. Miscellaneous relations; Bibliography; Index.
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주제 |
Lame's functions.
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LCCN |
2011051233
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ISBN |
9780521113090 (hardback)
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QR CODE |
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