The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included.
This text is part of the Walter Rudin Student Series in Advanced Mathematics.
發表於2024-11-05
Principles of Mathematical Analysis 2024 pdf epub mobi 電子書 下載
這本書適閤有一定分析背景的數學係學生閱讀,不建議非數學係的學生看,因為計算很少,主要是證明。Rudin盡可能把所有definitions一般化,定理廣義化。單變量積分處理的是Riemann–Stieltjes integration,非Riemann integral。如果沒記錯的話,這本書裏麵沒有任何圖錶,有的隻是...
評分 評分如題,不過當你基本弄懂微積分的內容後,來讀這本書是很有收益的,尤其物理學專業,因為你以後會遇到更復雜的數學,該書由以現代數學的觀點寫成,有助於以後閱讀現代數學的教材
評分數學係的一位怪老頭曾經教導我們,看數學書,第一要注重的是definition,第二是theorem,最後纔是application。按這位牛人的說法,數學書應該都寫成詞典的樣子,無怪乎他會對Rudin的這本推崇有加。按俺一個物理係的外行看來這本書也是相當不錯的,簡潔明瞭毫無廢話,可以一下子...
評分如題,不過當你基本弄懂微積分的內容後,來讀這本書是很有收益的,尤其物理學專業,因為你以後會遇到更復雜的數學,該書由以現代數學的觀點寫成,有助於以後閱讀現代數學的教材
圖書標籤: 數學 數學分析 Mathematics analysis Analysis 教材 math 分析
讀瞭2/3,打印版的太傷眼,證明很不錯
評分經典教材,但是真的非常抽象和難
評分貴
評分去年在傢閑極無聊,讀瞭一本魯丁,一本羅素,現在看來受益匪淺
評分the unexcelled classic...deep, and succinct, and hard as hell
Principles of Mathematical Analysis 2024 pdf epub mobi 電子書 下載