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<図書>
Introduction to the analysis of metric spaces

責任表示 J.R. Giles
シリーズ Australian Mathematical Society lecture series ; 3
データ種別 図書
出版者 Cambridge [Cambridgeshire] : Cambridge University Press
出版年 1987
本文言語 英語
大きさ xiv, 257 p. : ill. ; 24 cm
概要 Assuming a basic knowledge of real analysis and linear algebra, the student is given some familiarity with the axiomatic method in analysis and is shown the power of this method in exploiting the fun...amental analysis structures underlying a variety of applications. Although the text is titled metric spaces, normed linear spaces are introduced immediately because this added structure is present in many examples and its recognition brings an interesting link with linear algebra; finite dimensional spaces are discussed earlier. It is intended that metric spaces be studied in some detail before general topology is begun. This follows the teaching principle of proceeding from the concrete to the more abstract. Graded exercises are provided at the end of each section and in each set the earlier exercises are designed to assist in the detection of the abstract structural properties in concrete examples while the latter are more conceptually sophisticated.
Assuming a basic knowledge of real analysis and linear algebra, the student is given some familiarity with the axiomatic method in analysis and is shown the power of this method in exploiting the fundamental analysis structures underlying a variety of applications. Although the text is titled metric spaces, normed linear spaces are introduced immediately because this added structure is present in many examples and its recognition brings an interesting link with linear algebra; finite dimensional spaces are discussed earlier. It is intended that metric spaces be studied in some detail before general topology is begun. This follows the teaching principle of proceeding from the concrete to the more abstract. Graded exercises are provided at the end of each section and in each set the earlier exercises are designed to assist in the detection of the abstract structural properties in concrete examples while the latter are more conceptually sophisticated.
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所蔵情報


理系図3F 数理独自 068222187006993 GILE/10/2 1987

書誌詳細

一般注記 Includes index
著者標目 *Giles, John R.
件 名 LCSH:Metric spaces
LCSH:Normed linear spaces
LCSH:Functional analysis
分 類 LCC:QA611.28
DC19:514/.3
書誌ID 1001390549
ISBN 0521350514
NCID BA01317356
巻冊次 ISBN:0521350514
: pbk. ; ISBN:0521359287
登録日 2009.11.02
更新日 2009.11.02

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