圖書標籤: 數學 實分析 Mathematics Real_Analysis 數學分析 教材 分析 Analysis
发表于2025-01-23
Real Analysis pdf epub mobi txt 電子書 下載 2025
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.
T: QA 331.5 .R6 1988
評分not bad,
評分一個工科生對實分析的入門書籍
評分勘誤錶 http://faculty.ksu.edu.sa/fawaz/481files/Books/RAE.pdf
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
Royden这本书名气太大,但可能不是最好的教材。Folland的书现在很流行,Terence Tao在UCLA给graduate开课就是这本教材,但是……Folland的书需要一定数学基础才能看,很多细节需要补充。
評分从2015年5月到2016年3月,这本书我断断续续看了大概6个月的时间。 刚开始看的时候,困难重重,许多地方,自己都感到挺费解的。 就这样,看到第三遍的时候,我开始做后面的习题,并且结合着A Radical Approach to Lebesgue's Theory of Integration,2ed和 real analysis, 4th ...
評分 評分 評分从2015年5月到2016年3月,这本书我断断续续看了大概6个月的时间。 刚开始看的时候,困难重重,许多地方,自己都感到挺费解的。 就这样,看到第三遍的时候,我开始做后面的习题,并且结合着A Radical Approach to Lebesgue's Theory of Integration,2ed和 real analysis, 4th ...
Real Analysis pdf epub mobi txt 電子書 下載 2025