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<図書>
Approximation theory and methods

責任表示 M. J. D. Powell
データ種別 図書
出版情報 Cambridge [Eng.] ; New York : Cambridge University Press , 1981
本文言語 英語
大きさ x, 339 p. : grapgs ; 24 cm
概要 Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The gene...al theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.
Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.
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所蔵情報


pbk. 芸工図 2F 書架 418.1/P87 1981
072032181010197

書誌詳細

一般注記 Bibliography: p. [317]-332
Includes index
著者標目 *Powell, M. J. D, 1936-
件 名 LCSH:Approximation theory
分 類 LCC:QA221
DC19:511/.4
書誌ID 1000009964
ISBN 0521224721
NCID BA20572521
巻冊次 ISBN:0521224721
pbk. ; ISBN:0521295149
NBN GB81
登録日 1999.04.01
更新日 1999.04.01