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.
如题,不过当你基本弄懂微积分的内容后,来读这本书是很有收益的,尤其物理学专业,因为你以后会遇到更复杂的数学,该书由以现代数学的观点写成,有助于以后阅读现代数学的教材
评分我剛學完了stewart 的 calculus 這本書,現在開始學這本數學分析,在國立交大的Ocourse找到了高等微積分的開放課程,裏面用的書就是這本哦~~ 我感覺有老師講課的話,可以幫助大家理解~ 最近交大的Ocourse不知道出了什麽問題,老是上不去。 不過大家在優酷網站上搜 高等微積...
评分在高中开始学集合与函数后不久,我就开始看微积分和数学分析的书,当时看的是菲赫金哥尔茨的《数学分析原理》,这本书很好,虽然我当时什么都不懂,却也在那本书上学到了古典分析的基础内容。 很可惜,看了菲的书和一本线性代数的书后,我就没有在高中再看过任何一本大学数学的...
评分本书是香港中文大学深圳数学系数学分析课的参考书,内容的难度相当高,前七章,最惊艳的部分是从Basic Topology开始。这本书在引用了拓扑的概念之后,后面的全是大招(吐血),我当时学的时候拓扑那一节,来回看了四遍(其实还是不太懂),第二个最难的地方出现在第十章,当时...
评分Rudin has written a few good math textbooks and this one is called the “Baby Rudin”. So you know it is relatively easy. The structure is very reasonable and the proofs are simply elegant. It is a pleasure to read. This may not be the textbook to start y...
很难
评分其实读了两节,我觉得没有习题课讲义好
评分ch10的微分形式二刷达成
评分3A concise, similar to lecture notes, but no solution to exercise..
评分去年在家闲极无聊,读了一本鲁丁,一本罗素,现在看来受益匪浅
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