Johan de Villiers

(Author)

Mathematics of Approximation (2012)Hardcover - 2012, 1 July 2012

Mathematics of Approximation (2012)
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Part of Series
Mathematics Textbooks for Science and Engineering
Part of Series
Atlantis Studies in Mathematics
Print Length
406 pages
Language
English
Publisher
Atlantis Press
Date Published
1 Jul 2012
ISBN-10
949121649X
ISBN-13
9789491216497

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

Product Details

Author:
Johan de Villiers
Book Edition:
2012
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
1 July 2012
Dimensions:
23.11 x 15.49 x 2.79 cm
Genre:
Science/Technology Aspects
ISBN-10:
949121649X
ISBN-13:
9789491216497
Language:
English
Location:
Paris
Pages:
406
Publisher:
Weight:
703.07 gm

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