Coverart for item
The Resource Mathematics of approximation, Johan de Villiers

Mathematics of approximation, Johan de Villiers

Label
Mathematics of approximation
Title
Mathematics of approximation
Statement of responsibility
Johan de Villiers
Creator
Subject
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 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
Member of
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
Instantiates
Publication
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
10.2991/978-94-91216-50-3
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
Publication
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
10.2991/978-94-91216-50-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)798817514

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
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