Interpolation and Approximation by Polynomials
(Sprache: Englisch)
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...
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Produktinformationen zu „Interpolation and Approximation by Polynomials “
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. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory.
Klappentext zu „Interpolation and Approximation by Polynomials “
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. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory.
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.
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.
Inhaltsverzeichnis zu „Interpolation and Approximation by Polynomials “
* Preface* Univariate Interpolation
* Best Approximation
* Numerical Integration
* Peano's Theorem and Applications
* Multivariate Interpolation
* Splines
* Bernstein Polynomials
* Properties of the q-integers
* References
* Index
Autoren-Porträt von George McArtney Phillips
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.
Bibliographische Angaben
- Autor: George McArtney Phillips
- 2003, 2003 ed., 312 Seiten, Maße: 16,2 x 24 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387002154
- ISBN-13: 9780387002156
- Erscheinungsdatum: 08.04.2003
Sprache:
Englisch
Rezension zu „Interpolation and Approximation by Polynomials “
From the reviews: G.M. Phillips
Interpolation and Approximation by Polynomials
"A very nicely written textbook to learn about polynomial interpolation and approximation."
a "ZENTRALBLATT MATH
"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)
"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)
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