Taylor's Library Banner
Image from Google Jackets

Differential and integral equations / Peter J. Collins.

By: Publication details: Oxford : Oxford University Press, c2006.Description: xii, 372 p. ; 25 cmISBN:
  • 0199297894 (pbk.)
Subject(s): DDC classification:
  • 515.35 COL
Contents:
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.
Holdings
Cover image Item type Current library Home library Collection Shelving location Shelf location Call number Materials specified Vol info Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
Main Collection Taylor's Library-TU

Floor 4, Shelf 15 , Side 1, TierNo 3, BayNo 8

 515.35 COL (Browse shelf(Opens below)) 1 Available SOExx,07017,03,GR 5000100357

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.