Approximation theory and approximation practice / Lloyd N. Trefethen.
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TextPublication details: Philadelphia : SIAM, c2013.Description: vii, 305 p. : illustrations (some color) ; 26 cmISBN: - 9781611972399 (alk. paper)
- 511.4 23 T786
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 511.4 T786 (Browse shelf(Opens below)) | Available | 135426 |
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| 511.4 St827 Methods of approximation theory | 511.4 T138 Approximation theory | 511.4 T717 Weighted approximation with varying weight | 511.4 T786 Approximation theory and approximation practice / | 511.4 T858 Multigrid | 511.4 W926 Approximation theory and applications | 511.4 Z66 Discontinuous cebysev systems |
Includes bibliographical references (pages 273-298) and index.
1. Introduction --
2. 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.
An original and modern treatment of approximation theory for students in applied mathematics. Includes exercises, illustrations and Matlab code.
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