Mathematics of Approximation
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The work Mathematics of Approximation represents a distinct intellectual or artistic creation found in University of Oklahoma 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 Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Mathematics of Approximation
 Statement of responsibility
 by Johan De Villiers
 Language

 eng
 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
 Dewey number
 515.3
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 3emdg9AzkBI
 Language note
 English
 LC call number
 QA1939
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Mathematics textbooks for science and engineering
 Mathematics Textbooks for Science and Engineering,
 Series volume

 v. 1
 1
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