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Rational Approximations and Orthogonality
 
Rational Approximations and Orthogonality
Hardcover ISBN:  978-0-8218-4545-5
Product Code:  MMONO/92
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4504-1
Product Code:  MMONO/92.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4545-5
eBook: ISBN:  978-1-4704-4504-1
Product Code:  MMONO/92.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
Rational Approximations and Orthogonality
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Rational Approximations and Orthogonality
Hardcover ISBN:  978-0-8218-4545-5
Product Code:  MMONO/92
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
eBook ISBN:  978-1-4704-4504-1
Product Code:  MMONO/92.E
List Price: $155.00
MAA Member Price: $139.50
AMS Member Price: $124.00
Hardcover ISBN:  978-0-8218-4545-5
eBook ISBN:  978-1-4704-4504-1
Product Code:  MMONO/92.B
List Price: $320.00 $242.50
MAA Member Price: $288.00 $218.25
AMS Member Price: $256.00 $194.00
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 921991; 221 pp
    MSC: Primary 11; 30; 31; 41; 42

    This book presents a wide range of problems connected with rational approximations of numbers and analytic functions. These problems touch on many topics in contemporary analysis, such as analytic functions, orthogonal polynomials, spectral theory of operators, and potential theory. Motivated by the development of the theory of Padé approximants and the current application of this theory in related disciplines, the authors present an introduction to this circle of ideas. The book is intended for students and future researchers interested in function theory and number theory.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Rational approximation of numbers
    • Chapter 2. Padé approximants and orthogonal polynomials
    • Chapter 3. Asymptotic properties of orthogonal polynomials
    • Chapter 4. Simultaneous Padé approximants
    • Chapter 5. Potential theory
  • Reviews
     
     
    • A comprehensive introduction for students and future researchers to topics that are nowadays undergoing intensive development.

      Journal of Approximation Theory
  • 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: 921991; 221 pp
MSC: Primary 11; 30; 31; 41; 42

This book presents a wide range of problems connected with rational approximations of numbers and analytic functions. These problems touch on many topics in contemporary analysis, such as analytic functions, orthogonal polynomials, spectral theory of operators, and potential theory. Motivated by the development of the theory of Padé approximants and the current application of this theory in related disciplines, the authors present an introduction to this circle of ideas. The book is intended for students and future researchers interested in function theory and number theory.

  • Chapters
  • Chapter 1. Rational approximation of numbers
  • Chapter 2. Padé approximants and orthogonal polynomials
  • Chapter 3. Asymptotic properties of orthogonal polynomials
  • Chapter 4. Simultaneous Padé approximants
  • Chapter 5. Potential theory
  • A comprehensive introduction for students and future researchers to topics that are nowadays undergoing intensive development.

    Journal of Approximation Theory
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.