Overview

Full Product Details

Author:   George M. Phillips
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2003 ed.
Volume:   14
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.683kg
ISBN:  

9780387002156

ISBN 10:   0387002154
Pages:   312
Publication Date:   08 April 2003
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Univariate Interpolation.- Best Approximation.- Numerical Integration.- Peano’s Theorem and Applications.- Multivariate Interpolation.- Splines.- Bernstein Polynomials.- Properties of the q-Integers.

Reviews

From the reviews: G.M. Phillips Interpolation and Approximation by Polynomials A very nicely written textbook to learn about polynomial interpolation and approximation. -ZENTRALBLATT MATH This book contains selected topics from approximation theory. The author discusses one of 'the most' classic part of approximation theory, the interpolation theory and two related fields ... . The selection of the areas, the lot of worked examples, the exercises and problems at the end of each section and the algorithms included and detailed ... makes this book perfect for everyone's approximation book. (Bela Nagy, Acta Scientiarum Mathematicarum, Vol. 69, 2003) This is a very nicely written textbook to learn about polynomial interpolation and approximation. ... Throughout the book nice sets of 'Problems' are placed ... . (Marcel G. de Bruin, Zentralblatt MATH, Vol. 1023, 2003) This monograph may be considered as the successor of P. Davis' Interpolation and Approximation (1963) ... . it is an excellent introduction to the topic. ... This book is well suited for a course on numerical analysis and approximation theory with emphasis on the topic mentioned in the title. ... even more a course book because each section ends with a list of exercises, and the text contains many explicit examples. (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, 2007)

From the reviews: G.M. Phillips Interpolation and Approximation by Polynomials A very nicely written textbook to learn about polynomial interpolation and approximation. -ZENTRALBLATT MATH This book contains selected topics from approximation theory. The author discusses one of `the most' classic part of approximation theory, the interpolation theory and two related fields ... . The selection of the areas, the lot of worked examples, the exercises and problems at the end of each section and the algorithms included and detailed ... makes this book perfect for everyone's approximation book. (Bela Nagy, Acta Scientiarum Mathematicarum, Vol. 69, 2003) This is a very nicely written textbook to learn about polynomial interpolation and approximation. ... Throughout the book nice sets of `Problems' are placed ... . (Marcel G. de Bruin, Zentralblatt MATH, Vol. 1023, 2003) This monograph may be considered as the successor of P. Davis' Interpolation and Approximation (1963) ... . it is an excellent introduction to the topic. ... This book is well suited for a course on numerical analysis and approximation theory with emphasis on the topic mentioned in the title. ... even more a course book because each section ends with a list of exercises, and the text contains many explicit examples. (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, 2007)

"From the reviews: G.M. Phillips Interpolation and Approximation by Polynomials ""A very nicely written textbook to learn about polynomial interpolation and approximation."" —ZENTRALBLATT MATH ""This book contains selected topics from approximation theory. The author discusses one of ‘the most’ classic part of approximation theory, the interpolation theory and two related fields … . The selection of the areas, the lot of worked examples, the exercises and problems at the end of each section and the algorithms included and detailed … makes this book perfect for everyone’s approximation book."" (Béla Nagy, Acta Scientiarum Mathematicarum, Vol. 69, 2003) ""This is a very nicely written textbook to learn about polynomial interpolation and approximation. … Throughout the book nice sets of ‘Problems’ are placed … ."" (Marcel G. de Bruin, Zentralblatt MATH, Vol. 1023, 2003) “This monograph may be considered as the successor of P. Davis’ Interpolation and Approximation (1963) … . it is an excellent introduction to the topic. … This book is well suited for a course on numerical analysis and approximation theory with emphasis on the topic mentioned in the title. … even more a course book because each section ends with a list of exercises, and the text contains many explicit examples.” (Adhemar Bultheel, Bulletin of the Belgian Mathematical Society, 2007)"

From the reviews: <p>G.M. Phillips <p>Interpolation and Approximation by Polynomials <p> A very nicely written textbook to learn about polynomial interpolation and approximation. <p>a ZENTRALBLATT MATH <p> This book contains selected topics from approximation theory. The author discusses one of a ~the mosta (TM) classic part of approximation theory, the interpolation theory and two related fields a ] . The selection of the areas, the lot of worked examples, the exercises and problems at the end of each section and the algorithms included and detailed a ] makes this book perfect for everyonea (TM)s approximation book. (BA(c)la Nagy, Acta Scientiarum Mathematicarum, Vol. 69, 2003) <p> This is a very nicely written textbook to learn about polynomial interpolation and approximation. a ] Throughout the book nice sets of a ~Problemsa (TM) are placed a ] . (Marcel G. de Bruin, Zentralblatt MATH, Vol. 1023, 2003)

Author Information

 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.

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