The first three editions of H.].Royden’S Real Analysis have contributed to the education of generation so fm a them atical analysis students.This four the dition of Real Analysispreservesthe goal and general structure of its venerable predecessors——to present the measure theory.integration theory.and functional analysis that a modem analyst needs to know.
The book is divided the three parts:Part I treats Lebesgue measure and Lebesgueintegration for functions of a single real variable;Part II treats abstract spaces topological spaces,metric spaces,Banach spaces,and Hilbert spaces;Part III treats integration over general measure spaces.together with the enrichments possessed by the general theory in the presence of topological,algebraic,or dynamical structure.
The material in Parts II and III does not formally depend on Part I.However.a careful treatment of Part I provides the student with the opportunity to encounter new concepts in afamiliar setting,which provides a foundation and motivation for the more abstract conceptsdeveloped in the second and third parts.Moreover.the Banach spaces created in Part I.theLp spaces,are one of the most important dasses of Banach spaces.The principal reason forestablishing the completeness of the Lp spaces and the characterization of their dual spacesiS to be able to apply the standard tools of functional analysis in the study of functionals andoperators on these spaces.The creation of these tools is the goal of Part II.
發表於2024-09-24
Real Analysis 2024 pdf epub mobi 電子書 下載
Royden這本書名氣太大,但可能不是最好的教材。Folland的書現在很流行,Terence Tao在UCLA給graduate開課就是這本教材,但是……Folland的書需要一定數學基礎纔能看,很多細節需要補充。
評分Royden這本書名氣太大,但可能不是最好的教材。Folland的書現在很流行,Terence Tao在UCLA給graduate開課就是這本教材,但是……Folland的書需要一定數學基礎纔能看,很多細節需要補充。
評分這本書是我在看Stanford的博資考題目時看到的參考書目,當時我還不太瞭解國外研究生標準的實分析課程內容,這本書讓我明白國外的實分析通常包含如下幾部分:Lebesgue積分(國內常稱為實變函數)、點集拓撲和初等的泛函分析(主要研究Banach空間和Hilbert空間的基本內容)、測度...
評分Royden這本書名氣太大,但可能不是最好的教材。Folland的書現在很流行,Terence Tao在UCLA給graduate開課就是這本教材,但是……Folland的書需要一定數學基礎纔能看,很多細節需要補充。
圖書標籤: 數學 實分析 Mathematics Real_Analysis 數學分析 教材 分析 Analysis
好難....學實變會嚇跑一半的數學本科生果然不是亂說的...
評分說實話其實我還算比較喜歡實變,感覺自己抽象思維還是不錯的。可惜的是不打算當個數學傢,學這些沒有什麼卵用。書還是不錯的,是很全,後麵習題也夠喝一壺。不過不打算死磕的同學最好換本簡單內容少點的書
評分還是Folland的實分析好啊 ,這本書測度與積分的章節寫的並不好。
評分作者一定屬於提筆刹不住車的那種——援引娘親金句:“想寫個開頭,結果發現已經兩萬字瞭。”
評分作者一定屬於提筆刹不住車的那種——援引娘親金句:“想寫個開頭,結果發現已經兩萬字瞭。”
Real Analysis 2024 pdf epub mobi 電子書 下載