具体描述
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.
Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.
用户评价
##09/2017 - 12/2017 學完前半部分，比某本一星的垃圾實分析教材好多了
评分##是一本可以当小说读的分析教材，让人欲罢不能，非常适合想要入门分析的朋友
评分##实分析
评分##适合入门读
评分##实分析
评分##是一本可以当小说读的分析教材，让人欲罢不能，非常适合想要入门分析的朋友
评分##复习数分
评分##书后面的课后习题很难，而且后面有些证明是需要靠习题里面的知识点，感觉作为课上的补充书籍比较不错，但自学一定会有极大压力
评分##启发式教学，当作参考书挺好的，但别指望拿它当教材。
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