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Mathematics of Approximation
The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation,...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2012.
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| Edición: | 1st ed. 2012. |
| Colección: | Mathematics Textbooks for Science and Engineering,
1 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-94-91216-50-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220118162429.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120629s2012 fr | s |||| 0|eng d | ||
| 020 | |a 9789491216503 |9 978-94-91216-50-3 | ||
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| 100 | 1 | |a De Villiers, Johan. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Mathematics of Approximation |h [electronic resource] / |c by Johan De Villiers. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Paris : |b Atlantis Press : |b Imprint: Atlantis Press, |c 2012. | |
| 300 | |a XXI, 406 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Mathematics Textbooks for Science and Engineering, |x 2213-087X ; |v 1 | |
| 505 | 0 | |a Polynomial Interpolation Formulas -- Error Analysis For Polynomial Interpolation -- Polynomial Uniform Convergence -- Best Approximation -- Approximation Operators -- Best Uniform Polynomial Approximation -- Orthogonality -- Interpolatory Quadrature -- Approximation of Periodic Functions -- Spline Approximation. | |
| 520 | |a The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Computer science-Mathematics. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering-Data processing. | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 650 | 2 | 4 | |a Approximations and Expansions. |
| 650 | 2 | 4 | |a Mathematics of Computing. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789491216510 |
| 776 | 0 | 8 | |i Printed edition: |z 9789462390461 |
| 776 | 0 | 8 | |i Printed edition: |z 9789491216497 |
| 830 | 0 | |a Mathematics Textbooks for Science and Engineering, |x 2213-087X ; |v 1 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.2991/978-94-91216-50-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||