Differential and Integral Equations
Oxford University Press (Verlag)
978-0-19-853382-5 (ISBN)
Providing a wealth of techniques, but yet satisfying the needs of the pure mathematician, and with numerous carefully worked examples and exercises, the text is ideal for any undergraduate with basic calculus to gain a thorough grounding in 'analysis for applications'.
Preface ; 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
Erscheint lt. Verlag | 1.9.2006 |
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Verlagsort | Oxford |
Sprache | englisch |
Maße | 195 x 254 mm |
Gewicht | 912 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
Mathematik / Informatik ► Mathematik ► Analysis | |
ISBN-10 | 0-19-853382-9 / 0198533829 |
ISBN-13 | 978-0-19-853382-5 / 9780198533825 |
Zustand | Neuware |
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