Interpolation and Approximation by Polynomials

  • George M. Phillips

Part of the CMS Books in Mathematics book series (CMSBM)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. George M. Phillips
    Pages 1-48
  3. George M. Phillips
    Pages 49-118
  4. George M. Phillips
    Pages 119-146
  5. George M. Phillips
    Pages 147-162
  6. George M. Phillips
    Pages 163-214
  7. George M. Phillips
    Pages 215-246
  8. George M. Phillips
    Pages 247-290
  9. George M. Phillips
    Pages 291-304
  10. Back Matter
    Pages 305-312

About this book

Introduction

 This book covers the main topics concerned with interpolation and approximation by polynomials. This subject can be traced back to the precalculus era but has enjoyed most of its growth and development since the end of the nineteenth century and is still a lively and flourishing part of mathematics. In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text.

George Phillips has lectured and researched in mathematics at the University of St. Andrews, Scotland. His most recent book, Two Millenia of Mathematics: From Archimedes to Gauss (Springer 2000), received enthusiastic reviews in the USA, Britain and Canada. He is well known for his clarity of writing and his many contributions as a researcher in approximation theory.

Keywords

Approximation Interpolation Numerical integration approximation theory calculus

Authors and affiliations

  • George M. Phillips
    • 1
  1. 1.Mathematical Institute University of St. AndrewsSt. AndrewsScotland

Bibliographic information

  • DOI https://doi.org/10.1007/b97417
  • Copyright Information Springer Science+Business Media New York 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-00215-6
  • Online ISBN 978-0-387-21682-9
  • Series Print ISSN 1613-5237
  • Series Online ISSN 2197-4152
  • About this book