Approximation theory and approximation practice /

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Bibliographic Details
Author / Creator:Trefethen, Lloyd N. (Lloyd Nicholas)
Imprint:Philadelphia : Society for Industrial and Applied Mathematics, [2013]
Description:vii, 305 pages : illustrations (some color) ; 26 cm.
Language:English
Series:Applied mathematics ; [128]
Other titles in applied mathematics.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/10789025
Hidden Bibliographic Details
ISBN:9781611972399
1611972396
Notes:Includes bibliographical references (pages 273-298) and index.

MARC

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490 1 |a Applied mathematics ;  |v [128] 
504 |a Includes bibliographical references (pages 273-298) and index. 
505 0 |a 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. 
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