Interpolation and Approximation by Polynomials

George M. Phillips

324 pages, parution le 12/05/2003

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Résumé

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.

Contents

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

L'auteur - George M. Phillips

The author, George M. Phillips, is a Scot who has lectured and researched in mathematics, mainly at the University of St. Andrews, Scotland, but also in many other universities in the United Kingdom, the United States of America, Canada, Brazil, Portugal, Italy, the Czech Republic, Greece, Bulgaria, Turkey, Israel, Malaysia, Singapore, China, and Australia.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	George M. Phillips
Parution	12/05/2003
Nb. de pages	324
Format	16 x 24
Couverture	Relié
Poids	605g
Intérieur	Noir et Blanc
EAN13	9780387002156
ISBN13	978-0-387-00215-6