《A Primer of Real Functions》求取 ⇩

CHAPTER 1.SETS1

1.Sets1

2.Sets of real numbers4

3.Countable and uncountable sets7

4.Metric spaces18

5.Open and closed sets22

6.Dense and nowhere dense sets32

7.Compactness38

8.Convergence and completeness44

9.Nested sets and Baire's theorem53

10.Some applications of Baire's theorem57

11.Sets of measure zero62

CHAPTER 2.FUNCTIONS65

12.Functions65

13.Continuous functions70

14.Properties of continuous functions75

15.Upper and lower limits83

16.Sequences of functions85

17.Uniform convergence88

18.Pointwise limits of continuous functions99

19.Approximations to continuous functions102

20.Linear functions108

21.Derivatives113

22.Monotonic functions128

23.Convex functions142

24.Infinitely differentiable functions150

NOTES157

ANSWERS TO EXERCISES163

INDEX181

1960《A Primer of Real Functions》由于是年代较久的资料都绝版了,几乎不可能购买到实物。如果大家为了学习确实需要,可向博主求助其电子版PDF文件(由 1960 The Mathematical Association of America 出版的版本) 。对合法合规的求助,我会当即受理并将下载地址发送给你。

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