Interpolation and Approximation by Polynomials

George M. Phillips

ISBN 10: 1441918108 / ISBN 13: 9781441918109

Published by Springer New York, Springer US, 2011

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9781441918109

Bibliographic Details

• Title: Interpolation and Approximation by Polynomials
• Publisher: Springer New York, Springer US
• Publication Date: 2011
• Language: English
• ISBN 10: 1441918108
• ISBN 13: 9781441918109
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

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.

About the Author

 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.