Approximation theory and approximation practice Lloyd N. Trefethen
Material type:
TextLanguage: English Series: ; 128 | Other titles in applied mathematics ; 128Publisher: Philadelphia, Pa. SIAM, Soc. for Industrial and Applied Mathematics 2013Description: VII, 305 S. Ill., graf. DarstContent type: - Text
- ohne Hilfsmittel zu benutzen
- Band
- 9781611972399
- QA221
- SK 470
- 65Dxx
- 41-01
- *41-01
- 41-04
- 41Axx
- 31.76
| Item type | Current library | Collection | Shelving location | Call number | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|---|---|
Book
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Gebäude E2 3 (UdS Campusbibliothek für Informatik und Mathematik) | Campusbibliothek für Informatik und Mathematik (E2 3) | Books A-Z (1st) | TRE l 2013:1 1.Ex (Browse shelf(Opens below)) | Checked out | 04/05/2026 | 2202000563181 |
Includes bibliographical references and index
1. Introduction2. Chebyshev Points and Interpolants -- 3. Chebyshev Polynomials and Series -- 4. Interpolants, Projections, and Aliasing -- 5. Barycentric Interpolation Formula -- 6. Weierstrass Approximation Theorem -- 7. Convergence for Differentiable Functions -- 8. Convergence for Analytic Functions -- 9. Gibbs Phenomenon -- 10. Best Approximation -- 11. Hermite Integral Formula -- 12. Potential Theory and Approximation -- 13. Equispaced Points, Runge Phenomenon -- 14. Discussion of High-Order Interpolation -- 15. Lebesgue Constants -- 16. Best and Near-Best -- 17. Orthogonal Polynomials -- 18. Polynomial Roots and Colleague Matrices -- 19. Clenshaw-Curtis and Gauss Quadrature --20. Carathéodory-Fejér Approximation -- 21. Spectral Methods -- 22. Linear Approximation: Beyond Polynomials -- 23. Nonlinear Approximation: Why Rational Functions -- 24. Rational Best Approximation -- 25. Two Famous Problems -- 26. Rational Interpolation and Linearized Least-Squares -- 27. Padé Approximation -- 28. Analytic Continuation and Convergence Acceleration -- Appendix: Six Myths of Polynomial Interpolation and Quadrature -- References -- Index.