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<図書>
Lebesgue integration and measure

責任表示 Alan J. Weir
シリーズ Integration and measure ; v. 1
データ種別 図書
出版者 Cambridge : University Press
出版年 1973
本文言語 英語
大きさ xii, 281 p. ; 24 cm
概要 Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, a...d forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later. The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate; notes on the solutions are given.
Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later. The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate; notes on the solutions are given.
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所蔵情報

pbk. 理系図3F 数理独自 068222480075358 WEIR/10/1 1973

中央図 自動書庫 017232000082487 413.4/W 55/1 1973

書誌詳細

一般注記 Continued by General integration and measure
Bibliography: p. 277-278
著者標目 *Weir, Alan J.
件 名 LCSH:Integrals, Generalized
LCSH:Measure theory
分 類 LCC:QA312
DC:515/.42
書誌ID 1000484911
ISBN 0521087287
NCID BA06846183
巻冊次 ISBN:0521087287
: pbk. ; ISBN:0521097517
NBN B***
登録日 2009.09.14
更新日 2009.11.02

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