| 000 | 02268nam a22002537a 4500 | ||
|---|---|---|---|
| 999 |
_c58644 _d58644 |
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| 005 | 20211206162037.0 | ||
| 008 | 211201b ||||| |||| 00| 0 eng d | ||
| 020 | _a9789386235442 | ||
| 028 |
_a:Raghav Books Private Limited _b:A-184 Nand Gram Ghaziabad _c:333 _d:27/11/2021 |
||
| 082 | _a511.4 TRE | ||
| 100 | _aTrefethen, Lloyd N | ||
| 245 |
_aApproximation Theory and Approximation Practice _c/ Lloyd N Trefethen |
||
| 260 |
_aPhiladelphia _b: Society for Industrial and Applied Mathematics, _c2013 |
||
| 300 |
_avii, 305 pages : illustrations (some color) _c; 26 cm. |
||
| 365 | _b750 | ||
| 505 | _a1. 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. | ||
| 520 | _aApproximation Theory and Approximation Practice is a textbook on classical polynomial and rational approximation theory for the twenty-first century. It is aimed at advanced undergraduates and graduate students across all of applied mathematics. --Back cover. | ||
| 650 | _aMathematics | ||
| 650 | _a General principles of mathematics | ||
| 650 | _aApproximation theory. | ||
| 650 | _aPolynomials. | ||
| 700 | _aTrefethen, Lloyd N | ||
| 942 | _cBOOK | ||