- We will send in 10–14 business days.
/images/books/13693868/9789491216497.jpg)
- Author: Johan de Villiers
- Publisher: Atlantis Press
- Year: 2012
- Pages: 406
- ISBN-10: 949121649X
- ISBN-13: 9789491216497
- Format: 15.5 x 23.1 x 2.8 cm, kieti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
Reviews
Description
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
EXTRA 10 % discount with code: EXTRA
The promotion ends in 23d.20:58:15
The discount code is valid when purchasing from 10 €. Discounts do not stack.
- Author: Johan de Villiers
- Publisher: Atlantis Press
- Year: 2012
- Pages: 406
- ISBN-10: 949121649X
- ISBN-13: 9789491216497
- Format: 15.5 x 23.1 x 2.8 cm, kieti viršeliai
- Language: English English
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
Reviews