朴素集合论
豆瓣
Naive Set Theory
Paul. R. Halmos
简介
本书作者用通俗的语言及常规的非形式化数学符号，向读者阐述了初等集合论的基本内容，而这些内容对于高等数学的初学者来说是必须要了解的。通俗化的论述能够使读者充分理解集合论中抽象的定理，并且会深刻认识到集合论在数学研究中重要的基础作用。因此，本书非常适合于用作教材或自学课本。
contents
preface
1 the axiom of extension
2 the axiom of specification
3 unordered pairs
4 unions and intersections
5 complements and powers
6 ordered pairs
7 relations
8 functions
9 families
10 inverses and composites
11 numbers
12 the peano axioms
13 arithmetic
14 order
15 the axiom of choice
16 zorn's lemma
17 well ordering
18 transfinite recursion
.19 ordinal numbers
20 sets of ordinal numbers
21 ordinal arithmetic
22 the schroder-bernstein theorem
23 countable sets
24 cardinal arithmetic
25 cardinal numbers
index
