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Approximation Theory
 
Edited by: Carl de Boor
Approximation Theory
Softcover ISBN:  978-0-8218-0098-0
Product Code:  PSAPM/36
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-0-8218-9251-0
Product Code:  PSAPM/36.E
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Softcover ISBN:  978-0-8218-0098-0
eBook: ISBN:  978-0-8218-9251-0
Product Code:  PSAPM/36.B
List Price: $224.00 $174.50
MAA Member Price: $201.60 $157.05
AMS Member Price: $179.20 $139.60
Approximation Theory
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Approximation Theory
Edited by: Carl de Boor
Softcover ISBN:  978-0-8218-0098-0
Product Code:  PSAPM/36
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-0-8218-9251-0
Product Code:  PSAPM/36.E
List Price: $99.00
MAA Member Price: $89.10
AMS Member Price: $79.20
Softcover ISBN:  978-0-8218-0098-0
eBook ISBN:  978-0-8218-9251-0
Product Code:  PSAPM/36.B
List Price: $224.00 $174.50
MAA Member Price: $201.60 $157.05
AMS Member Price: $179.20 $139.60
  • Book Details
     
     
    Proceedings of Symposia in Applied Mathematics
    Volume: 361986; 131 pp
    MSC: Primary 41;

    The papers in this book, first presented at a 1986 AMS Short Course, give a brief introduction to approximation theory and some of its current areas of active research, both theoretical and applied. The first lecture describes and illustrates the basic concerns of the field. Topics highlighted in the other lectures include the following: approximation in the complex domain, \(N\)-width, optimal recovery, interpolation, algorithms for approximation, and splines, with a strong emphasis on a multivariate setting for the last three topics.

    The book is aimed at mathematicians interested in an introduction to areas of current research and to engineers and scientists interested in exploring the field for possible applications to their own fields. The book is best understood by those with a standard first graduate course in real and complex analysis, but some of the presentations are accessible with the minimal requirements of advanced calculus and linear algebra.

    Readership

  • Table of Contents
     
     
    • Articles
    • Ronald A. DeVore — Approximation of functions [ MR 864363 ]
    • E. B. Saff — Polynomial and rational approximation in the complex domain [ MR 864364 ]
    • A. Pinkus — $n$-widths and optimal recovery [ MR 864365 ]
    • E. W. Cheney — Algorithms for approximation [ MR 864366 ]
    • Charles A. Micchelli — Algebraic aspects of interpolation [ MR 864367 ]
    • Klaus Höllig — Multivariate splines [ MR 864368 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 361986; 131 pp
MSC: Primary 41;

The papers in this book, first presented at a 1986 AMS Short Course, give a brief introduction to approximation theory and some of its current areas of active research, both theoretical and applied. The first lecture describes and illustrates the basic concerns of the field. Topics highlighted in the other lectures include the following: approximation in the complex domain, \(N\)-width, optimal recovery, interpolation, algorithms for approximation, and splines, with a strong emphasis on a multivariate setting for the last three topics.

The book is aimed at mathematicians interested in an introduction to areas of current research and to engineers and scientists interested in exploring the field for possible applications to their own fields. The book is best understood by those with a standard first graduate course in real and complex analysis, but some of the presentations are accessible with the minimal requirements of advanced calculus and linear algebra.

Readership

  • Articles
  • Ronald A. DeVore — Approximation of functions [ MR 864363 ]
  • E. B. Saff — Polynomial and rational approximation in the complex domain [ MR 864364 ]
  • A. Pinkus — $n$-widths and optimal recovery [ MR 864365 ]
  • E. W. Cheney — Algorithms for approximation [ MR 864366 ]
  • Charles A. Micchelli — Algebraic aspects of interpolation [ MR 864367 ]
  • Klaus Höllig — Multivariate splines [ MR 864368 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.