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.
我接触过的微积分类和数学分析类的书里面,这本书写的最简洁最优美的。整体说来此书适合用来升华你对数学分析的理解,而无法用它来构建你分析的基础。篇幅的限制,多维微积分部分内容很少,但是又很抽象。rudin把多维完全放在向量微分学的框架下面处理,这样事半功倍,一下...
评分我作为一个智力残障人士,用了四个月的晚自习把这本书的前九章以及第十章开头读完了。根据某迷的意见,第十章学到微分几何自然就明白了,第十一章学到实分析自然也明白了,倒不如不读。 不得不说本书是一本经典之作,全是观点,基本没有技巧。另外本书可能没有大多数人说的那...
评分我作为一个智力残障人士,用了四个月的晚自习把这本书的前九章以及第十章开头读完了。根据某迷的意见,第十章学到微分几何自然就明白了,第十一章学到实分析自然也明白了,倒不如不读。 不得不说本书是一本经典之作,全是观点,基本没有技巧。另外本书可能没有大多数人说的那...
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...
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...
Best book for Mathematical Analysis. End. Great textbook used by Prof Piotr Hajłasz in his fantastic course "Mathematical Analysis", preparing for PhD Prelim exam. One of the best professor I have ever met.
评分Best book for Mathematical Analysis. End. Great textbook used by Prof Piotr Hajłasz in his fantastic course "Mathematical Analysis", preparing for PhD Prelim exam. One of the best professor I have ever met.
评分贵
评分读了2/3,打印版的太伤眼,证明很不错
评分自虐*10086
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