測度與範疇學(第2版) [Measure and Category (2nd Edition)] epub pdf  mobi txt 電子書 下載

測度與範疇學(第2版) [Measure and Category (2nd Edition)] epub pdf mobi txt 電子書 下載 2024

測度與範疇學(第2版) [Measure and Category (2nd Edition)] epub pdf mobi txt 電子書 下載 2024


簡體網頁||繁體網頁
奧凱斯屠拜(Oxtoby.J.C.) 著

下載链接在页面底部


點擊這裡下載
    


想要找書就要到 靜思書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

發表於2024-11-23

商品介绍



齣版社: 世界圖書齣版公司
ISBN:9787510004391
版次:2
商品編碼:10856805
包裝:平裝
外文名稱:Measure and Category (2nd Edition)
開本:24開
齣版時間:2009-04-01
頁數:106
正文語種:英文

測度與範疇學(第2版) [Measure and Category (2nd Edition)] epub pdf mobi txt 電子書 下載 2024



类似图書 點擊查看全場最低價

相关書籍





書籍描述

內容簡介

This book has two main themes: the Baire category theorem as a method for proving existence, and the "duality" between measure and category. The category method is illustrated by a variety of typical applications, and the analogy between measure and category is explored in all of its ramifications. To this end, the elements of metric topology are reviewed and the principal properties of Lebesgue measure are derived. It turns out that Lebesgue integration is not essential for present purposes——the Riemann integral is sufficient. Concepts of general measure theory and topology are introduced, but not just for the sake of generality. Needless to say, the term "category" refers always to Baire category; it has nothing to do with the term as it is used in homological algebra

內頁插圖

目錄

1.MeasureandCategoryontheLine
2.LiouvilleNumbers
3.LebesgueMeasureinr-Space
4.ThePropertyofBaire
5.Non-MeasurableSets
6.TheBanach-MazurGame
7.FunctionsofFirstClass
8.TheTheoremsofLusinandEgoroff
9.MetricandTopologicalSpaces
10.ExamplesofMetricSpaces
11.NowhereDifferentiableFunctions
12.TheTheoremofAlexandroff
13.TransformingLinearSetsintoNullsets
14.Fubini'sTheorem
15.TheKuratowski-UlamTheorem
16.TheBanachCategoryTheorem
17.ThePoincareRecurrenceTheorem
18.TransitiveTransformations
19.TheSierpinski-ErdosDualityTheorem
20.ExamplesofDuality
21.TheExtendedPrincipleofDuality
22.CategoryMeasureSpaces
SupplementaryNotesandRemarks
References
SupplementaryReferences
Index

前言/序言

  This book has two main themes:the Baire category theorem as a method for proving existence。and the“duality”between me.~SUl'e and category. The category method iS illustrated by a variety of typical applications, and the analogy between measure and category iS explored in all of its ramifications.To this end,the elements of metric topology are reviewed and the principal properties of Lcbesgue measure are derived.It turns out that Lebesgue integration is not essential for present purposes-ltheRiemann integral is SUfIident.Concepts of general measure theory andtopology are introduced,but not iust for the sake of generality.Needlesstosay,theterm“category”refersalwaystoBairecategory;ithasnothingtodOwiththetermasitiSusedin homologicalalgebra.
  A knowiedge of calculus is presupposed,and some familiarity with the algebra of sets.The questions discussed are ones that lend themselves naturally to set-theoretical formulation.The book is intended as an introduction to this kind of analysis.It could be used to supplement a standard cOUrse in real analysis,as the basis for a seminar,or for inde. pendent study.It is primarily expository。but a few refinements of known results are included,notably Theorem 15.6 and Proposition 204.The references are not intended to be complete.Frequently a secondary source is cited where additional references may be found.
  The book iS a revised and expanded version of notes originaily prepared for a course of lectures givfn at Haverford College during the spring of 1957 under the auspiccs of the William Pyle Philips Fund. These,in turn,were based on the Earle Raymond Hedrick Lectures presented at the Summer Meeting of the Mathematical Association of America at Seattle,Washington。in August.1956.

測度與範疇學(第2版) [Measure and Category (2nd Edition)] epub pdf mobi txt 電子書 下載 2024

測度與範疇學(第2版) [Measure and Category (2nd Edition)] 下載 epub mobi pdf txt 電子書

測度與範疇學(第2版) [Measure and Category (2nd Edition)] pdf 下載 mobi 下載 pub 下載 txt 電子書 下載 2024

測度與範疇學(第2版) [Measure and Category (2nd Edition)] mobi pdf epub txt 電子書 下載 2024

測度與範疇學(第2版) [Measure and Category (2nd Edition)] epub pdf mobi txt 電子書 下載
想要找書就要到 靜思書屋
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

讀者評價

評分

評分

可以。。。。。。。。。。。。。。。。。

評分

還沒有看,看上去不錯。

評分

還沒有看,看上去不錯。

評分

可以。。。。。。。。。。。。。。。。。

評分

物流快,貨品質量好,推薦京東!

評分

Springer的書必屬經典

評分

物流快,貨品質量好,推薦京東!

評分

測度與範疇學(第2版) [Measure and Category (2nd Edition)] epub pdf mobi txt 電子書 下載 2024

类似图書 點擊查看全場最低價

測度與範疇學(第2版) [Measure and Category (2nd Edition)] epub pdf mobi txt 電子書 下載 2024


分享鏈接





相关書籍


本站所有內容均為互聯網搜索引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

友情鏈接

© 2024 book.idnshop.cc All Rights Reserved. 靜思書屋 版权所有