Approximation theory and approximation practice /
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Author / Creator: | Trefethen, Lloyd N. (Lloyd Nicholas) |
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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 |
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020 | |a 1611972396 |q (alk. paper) | ||
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050 | 0 | 0 | |a QA221 |b .T73 2013 |
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100 | 1 | |a Trefethen, Lloyd N. |q (Lloyd Nicholas) |0 http://id.loc.gov/authorities/names/n85197123 |1 http://viaf.org/viaf/43281958 | |
245 | 1 | 0 | |a Approximation theory and approximation practice / |c Lloyd N. Trefethen. |
264 | 1 | |a Philadelphia : |b Society for Industrial and Applied Mathematics, |c [2013] | |
300 | |a vii, 305 pages : |b illustrations (some color) ; |c 26 cm. | ||
336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
337 | |a unmediated |b n |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
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. | |
650 | 0 | |a Approximation theory. |0 http://id.loc.gov/authorities/subjects/sh85006190 | |
650 | 7 | |a Approximation theory. |2 fast |0 (OCoLC)fst00811829 | |
830 | 0 | |a Other titles in applied mathematics. |0 http://id.loc.gov/authorities/names/no2012117330 | |
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