Differential and integral equations / Peter J. Collins.
By: Collins, Peter J
.
Publisher: Oxford : Oxford University Press, c2006Description: xii, 372 p. ; 25 cm.ISBN: 0199297894 (pbk.).Subject(s): Differential equations | Integral equationsDDC classification: 515.35 | Item type | Current location | Call number | Copy number | Status | Notes | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| Main Collection | Taylor's Library-TU | 515.35 COL (Browse shelf) | 1 | Available | SOExx,07017,03,GR | 5000100357 |
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| 515.35 BRO Schaum's outline of differential equations / | 515.35 BRO 2006 Schaum's outline of differential equations / | 515.35 BUG Differential equations : | 515.35 COL Differential and integral equations / | 515.35 DER Elementary differential equations with boundary value problems / | 515.35 DIF Differential equations : | 515.35 DIF Differential equations : |
Includes bibliographical references and index.
How to use this book. - Prerequisites. - 1. Integral equations and Picard's method. - 2. Existence and uniqueness. - 3. The homogeneous linear equation and Wronskians. - 4. The non-homogeneous linear equation: Variations of parameters and Green's functions. - 5. First-order partial differential equations. - 6. Second-order partial differential equations. - 7. The diffusion and wave equations and the equation of Laplace. - 8. The Fredholm alternative. - 9. Hilbert-Schmidt theory. - 10. Iterative methods and Neumann series. - 11. The calculus of variations. - 12. The Sturm-Liouville equation. - 13. Series solutions. - 14. Transform methods. - 15. Phase-plane analysis. - Appendix: The solution of some elementary ordinary differential equations. - Bibliography. - Index.