This is a course in real analysis directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something to specialists and non-specialists. The course consists of three major topics: metric and normed linear spaces, function spaces, and Lebesgue measure and integration on the line. In an informal style, the author gives motivation and overview of new ideas, while supplying full details and proofs. He includes historical commentary, recommends articles for specialists and non-specialists, and provides exercises and suggestions for further study. This text for a first graduate course in real analysis was written to accommodate the heterogeneous audiences found at the masters level: students interested in pure and applied mathematics, statistics, education, engineering, and economics.
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讲得非常不详细，只能算notes不能用作text
评分讲得非常不详细，只能算notes不能用作text
评分什么破书，顺序混乱不堪，东讲一点西讲一点，毫无体系可言。助教的课指定这本教材，老师看了没法教，助教看了没法讲习题课。Rudin数学分析前半本+Stein实分析前三章足以吊打此书。
评分One can use it as the notes for Rudin's PRINCIPLE
评分这本书写的很漂亮
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