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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
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