Interpolation and Approximation by Polynom...

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Sprache: Englisch

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Beschreibung

This book is intended as a course in numerical analysis and approximation theory for advanced undergraduate students or graduate students, and as a reference work for those who lecture or research in this area. Its title pays homage to Interpolation and Approximation by Philip J. Davis, published in 1963 by Blaisdell and reprinted by Dover in 1976. My book is less g- eral than Philip Davis¿s much respected classic, as the quali?cation ¿by polynomials¿ in its title suggests, and it is pitched at a less advanced level. I believe that no one book can fully cover all the material that could appearinabookentitledInterpolation and Approximation by Polynomials. Nevertheless, I have tried to cover most of the main topics. I hope that my readers will share my enthusiasm for this exciting and fascinating area of mathematics, and that, by working through this book, some will be encouraged to read more widely and pursue research in the subject. Since my book is concerned with polynomials, it is written in the language of classical analysis and the only prerequisites are introductory courses in analysis and linear algebra.

Über den Autor

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.

Zusammenfassung

This book is aimed at advanced undergraduate students and graduate
students and is intended for a course in numerical analysis and
approximation theory. The author covers topics such as multivariate
interpolation, Peano kernel theory, and the applications of q-integers
to approximation theory, the latter of which have never been fully
examined in book form before.

Inhaltsverzeichnis

* Preface * Univariate Interpolation * Best Approximation * Numerical Integration * Peano's Theorem and Applications * Multivariate Interpolation * Splines * Bernstein Polynomials * Properties of the q-integers * References * Index *

Erscheinungsjahr:	2011
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xiv 312 S.
ISBN-13:	9781441918109
ISBN-10:	1441918108
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Phillips, George M.
Auflage:	Softcover reprint of the original 1st edition 2003
Hersteller:	Springer US Springer New York
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 19 mm
Von/Mit:	George M. Phillips
Erscheinungsdatum:	09.10.2011
Gewicht:	0,505 kg