The Resource Mathematics of approximation, Johan de Villiers
Mathematics of approximation, Johan de Villiers
Resource Information
The item Mathematics of approximation, Johan de Villiers represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Mathematics of approximation, Johan de Villiers represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource.
 Note
 Includes index
 Contents

 Approximation of Periodic Functions
 Spline Approximation
 Polynomial Interpolation Formulas
 Error Analysis for Polynomial Interpolation
 Polynomial Uniform Convergence
 Best Approximation
 Approximation Operators
 Best Uniform Polynomial Approximation
 Orthogonality
 Interpolatory Quadrature
 Isbn
 9789491216503
 Label
 Mathematics of approximation
 Title
 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
 http://library.link/vocab/creatorDate
 1946
 http://library.link/vocab/creatorName
 De Villiers, Johan
 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
 http://library.link/vocab/subjectName

 Approximation theory
 Engineering
 Mathematical Computing
 Mathematics
 Science
 Approximation theory
 Label
 Mathematics of approximation, Johan de Villiers
 Note
 Includes index
 Antecedent source
 unknown
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Approximation of Periodic Functions
 Spline Approximation
 Polynomial Interpolation Formulas
 Error Analysis for Polynomial Interpolation
 Polynomial Uniform Convergence
 Best Approximation
 Approximation Operators
 Best Uniform Polynomial Approximation
 Orthogonality
 Interpolatory Quadrature
 Control code
 798817514
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9789491216503
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.2991/9789491216503
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)798817514
 Label
 Mathematics of approximation, Johan de Villiers
 Note
 Includes index
 Antecedent source
 unknown
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Approximation of Periodic Functions
 Spline Approximation
 Polynomial Interpolation Formulas
 Error Analysis for Polynomial Interpolation
 Polynomial Uniform Convergence
 Best Approximation
 Approximation Operators
 Best Uniform Polynomial Approximation
 Orthogonality
 Interpolatory Quadrature
 Control code
 798817514
 Dimensions
 unknown
 Extent
 1 online resource.
 File format
 unknown
 Form of item
 online
 Isbn
 9789491216503
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.2991/9789491216503
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)798817514
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.
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/MathematicsofapproximationJohande/HATDgcPOljQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/MathematicsofapproximationJohande/HATDgcPOljQ/">Mathematics of approximation, Johan de Villiers</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>