实函数导论（第四版）（影印版）
作者： Ralph P.Boas著；Harold P.Boas校订
出版时间：2022-02-28
出版社：高等教育出版社
- 高等教育出版社
- 9787040570328
- 1版
- 412519
- 46254306-7
- 精装
- 16开
- 2022-02-28
- 544
- 328
- 理学
- 数学
- 数学类
- 研究生及以上
前辅文
1 Sets
1 Sets
2 Sets of real numbers
3 Countable and uncountable sets
4 Metric spaces
5 Open and closed sets
6 Dense and nowhere dense sets
7 Compactness
8 Convergence and completeness
9 Nested sets and Baire's theorem
10 Some applications of Baire's Theorem . . .
11 Sets of measure zero
2 Functions
12 Functions
13 Continuous functions
14 Properties of continuous functions
15 Upper and lower limits
16 Sequences of functions
17 Uniform convergence
18 Pointwise limits of continuous functions . .
19 Approximations to continuous functions . .
20 Linear functions
21 Derivatives
22 Monotonie functions
23 Convex functions
24 Infinitely differentiable functions
3 Integration
25 Lebesgue measure
26 Measurable functions
27 Definition of the Lebesgue integral
28 Properties of Lebesgue integrals
29 Applications of the Lebesgue integral . . . .
30 Stieltjes integrals
31 Applications of the Stieltjes integral . . . .
32 Partial sums of infinite series . . . . . . . .
Answers t o Exercises
Index
