Book contents
- Frontmatter
- Contents
- 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 harmonics
- 9 The elliptic functions approach
- 10 Ellipsoidal biharmonic 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
Index
Published online by Cambridge University Press: 05 August 2012
- Frontmatter
- Contents
- 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 harmonics
- 9 The elliptic functions approach
- 10 Ellipsoidal biharmonic 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
Summary
- Type
- Chapter
- Information
- Ellipsoidal HarmonicsTheory and Applications, pp. 453 - 458Publisher: Cambridge University PressPrint publication year: 2012