Author | Davies, B. author |
---|---|
Title | Integral Transforms and their Applications [electronic resource] / by B. Davies |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1985 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4899-2691-3 |
Descript | XV, 419 p. online resource |
I: The Laplace Transform -- 1. Definition and Elementary Properties -- 2. The Inversion Theorem -- 3. Ordinary Differential Equations -- 4. Partial Differential Equations -- 5. Integral Equations -- 6. The Inversion Integral -- II: The Fourier Transform -- 7. Definitions and Elementary Properties -- 8. Application to Partial Differential Equations -- 9. Generalized Functions -- 10. Greekโs Functions -- 11. Fourier Transforms in Two or More Variables -- III: Other Important Transforms -- 12. Mellin Transforms -- 13. Mellin Transforms in Summation -- 14. Integrals Involving a Parameter -- 15. Hankel Transforms -- 16. Dual Integral Equations -- 17. Integral Transforms Generated by Greenโs Functions -- IV: Special Techniques -- 18. The Wiener-Hopf Technique -- 19. Methods Based on Cauchy Integrals -- 20. Laplaceโs Method for Ordinary Differential Equations -- 21. Numerical Inversion of Laplace Transforms -- Appendices -- A: The Factorial Function -- B: Riemannโs Zeta Function -- C: The Exponential Integral