This book outlines an elementary, one-semester course which exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.
My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
评分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
评分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
评分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
评分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
实实在在的数学分析入门书。对于我这种愚笨的人,rudin的书实在只能囫囵吞枣无一收获。小小的一本,挑一点课后题做,感觉理解的会比较深刻。我还记得看chapter 1 the real number的时候并没有像老师教的过程直接说数种的分类,而是从实数的构造历史和发展来说,可能没有那么有条理,但是会给人恍然大悟的感觉。其实整本书就像是分析入门书一样,很多证明并不严谨,但是可读性很强,对我这种没什么数学修养的人来说是很必要的数分入门书籍。
评分Well written.
评分虽然看上去轻薄,不过该有的都有,总体来说学习起来非常平滑,比较适合工科的学生。
评分REAL的课本~很不错的书……就是每一章最开始屁话比较多……估计过一阵子还要拿出来复习概念定理
评分超喜欢这堂课!(只上了analysis 1就要去BSM的我实在心慌慌
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