02268nam a22002537a 4500 58644 58644 20211206162037.0 211201b ||||| |||| 00| 0 eng d 9789386235442 :Raghav Books Private Limited :A-184 Nand Gram Ghaziabad :333 :27/11/2021 511.4 TRE Trefethen, Lloyd N Approximation Theory and Approximation Practice / Lloyd N Trefethen Philadelphia : Society for Industrial and Applied Mathematics, 2013 vii, 305 pages : illustrations (some color) ; 26 cm. 750 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. Approximation 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. Mathematics General principles of mathematics Approximation theory. Polynomials. Trefethen, Lloyd N BOOK 0 0 ddc 0 1 SNUL SNUL 2021-12-01 Raghav Books Private Limited 750.00 0 511.4 TRE 28142 2021-12-01 00:00:00 2021-12-01 BOOK 0 0 ddc 0 0 SNUL SNUL 2023-05-10 Gifted by NBHM 0 511.4 TRE M418 2023-05-10 00:00:00 2023-05-10 MDL NBHM