000 | 02336nam a22003377a 4500 | ||
---|---|---|---|
001 | 17453911 | ||
003 | IIITD | ||
005 | 20240206020003.0 | ||
008 | 230726b xxu||||| |||| 00| 0 eng d | ||
010 | _a 2012027584 | ||
020 | _a9789386235442 | ||
040 |
_aDLC _beng _cDLC _erda _dDLC _dIIITD |
||
042 | _apcc | ||
050 | 0 | 0 |
_aQA221 _b.T73 2013 |
082 | 0 | 0 |
_a511.4 _223 _bTRE-A |
100 | 1 |
_aTrefethen, Lloyd N. _q(Lloyd Nicholas) |
|
245 | 1 | 0 |
_aApproximation theory and approximation practice _cby Lloyd N. Trefethen |
260 |
_aHyderabad ; _bUniversities Press, _c©2013 |
||
300 |
_avii, 305 p. : _bill. ; _c24 cm. |
||
504 | _aIncludes bibliographical references (pages 273-298) and index. | ||
505 | _t2. 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 A. Six Myths of Polynomial Interpolation and Quadrature | ||
650 | 0 | _aApproximation theory | |
650 | 0 | _aApproximations and expansions | |
650 | 0 | _aNumerical computations | |
650 | 0 | _aClassical polynomial | |
650 | 0 | _aRational approximation theory | |
856 | _uhttps://www.google.co.in/books/edition/Approximation_Theory_and_Approximation_P/h80N5JHm-u4C?hl=en&gbpv=1&dq=Approximation+theory+and+approximation+practice&printsec=frontcover | ||
906 |
_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg |
||
942 |
_2ddc _cBK _02 |
||
999 |
_c171582 _d171582 |