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Algebraic Approximation: A Guide to Past and Current Solutions by Jorge Bustaman

Description: Algebraic Approximation: A Guide to Past and Current Solutions by Jorge Bustamante This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day. Notes Puts together different known solutions to problems in algebraic approximation not collected in any other text bookHelps finding the correct references for a specific resultComprehensive bibliographic references give a unique understanding of the evolution of approximation theory Back Cover This book presents a unique survey of solutions in algebraic approximation. Several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval are discussed. Some of these results are not collected in any other book. In addition, facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document trends in polynomial approximation from the 1950s to the present day. Algebraic Approximation: A Guide to Past and Current Solutions will be invaluable to anyone seeking to understand the evolution of ideas in algebraic approximation. Its extensive bibliographic character will help finding the correct references for a specific result. Table of Contents Preface.- Some notes on trigonometric approximation.- The end points effect.- Looking for new moduli.- Exact estimates and asymptotic.- Construction of special operators.- Bibliography. Review From the reviews:"This book is a survey of several topics in algebraic polynomial approximation on a finite interval, mostly related to the degree of approximation. … The book can be of great help to researchers, both those taking their first steps in the subject and veteran researchers who need to check references." (D. Leviatan, Mathematical Reviews, September, 2013)"The monograph presents an exposition of results related to direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. … The main achievement of the book is that it gathers some different known solutions to problems in algebraic approximation that are not collected in other text books. … this book is a very helpful tool for students and researchers interested in approximation by algebraic polynomials." (Daniel Cárdenas-Morales, Zentralblatt MATH, Vol. 1248, 2012) Review Quote From the reviews: "This book is a survey of several topics in algebraic polynomial approximation on a finite interval, mostly related to the degree of approximation. ... The book can be of great help to researchers, both those taking their first steps in the subject and veteran researchers who need to check references." (D. Leviatan, Mathematical Reviews, September, 2013) "The monograph presents an exposition of results related to direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. ... The main achievement of the book is that it gathers some different known solutions to problems in algebraic approximation that are not collected in other text books. ... this book is a very helpful tool for students and researchers interested in approximation by algebraic polynomials." (Daniel C Feature Puts together different known solutions to problems in algebraic approximation not collected in any other text book Helps finding the correct references for a specific result Comprehensive bibliographic references give a unique understanding of the evolution of approximation theory Details ISBN3034801939 Author Jorge Bustamante Short Title ALGEBRAIC APPROXIMATION A GT P Edition Description 2012 Series Frontiers in Mathematics Language English ISBN-10 3034801939 ISBN-13 9783034801935 Media Book Format Paperback Year 2011 Edition 2012th Country of Publication Switzerland Pages 205 Illustrations 1 Illustrations, color; VII, 205 p. 1 illus. in color. Subtitle A Guide to Past and Current Solutions DOI 10.1007/978-3-0348-0194-2 Publication Date 2011-11-16 Place of Publication Basel Imprint Birkhauser Verlag AG Publisher Birkhauser Verlag AG DEWEY 512.924 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. 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