Mathematics of approximation
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The work Mathematics of approximation represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Mathematics of approximation
Resource Information
The work Mathematics of approximation represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Mathematics of approximation
 Statement of responsibility
 Johan de Villiers
 Subject

 Approximation theory
 Approximation theory
 Approximation theory
 Approximations and Expansions.
 Computational Mathematics and Numerical Analysis.
 Engineering
 Engineering mathematics.
 Mathematical Computing
 Mathematics
 Mathematics of Computing.
 Mathematics.
 Science
 Appl. Mathematics/Computational Methods of Engineering.
 Language
 eng
 Summary
 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 computeraided 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 selfcontained. 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; NewtonCotes, Gauss and ClenshawCurtis quadrature; the EulerMaclaurin 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
 Cataloging source
 GW5XE
 Dewey number
 511/.4
 Index
 index present
 LC call number
 QA221
 LC item number
 .D4 2012
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Mathematics textbooks for science and engineering
 Series volume
 v. 1
Context
Context of Mathematics of approximationWork of
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