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集合论近年来发展迅速，特别是迫力法、内模型、大基数和描述集合论的发展尤为突出。本书是一本经典图书，内容囊括了集合论的各个分支。全书分为三部分：D一部分综述了集合论中基本的公理、概念和模型，第二部分深入介绍集合论高等问题，第三部分是集合论的专题介绍。本书各章有习题，即是一部教科书，也是从事数理逻辑和集合论等领域研究人员的案头参考书。

目 录

Part Ⅰ Basic Set Theory

1.Axioms of Set Theory

2.Ordinal Numbers

3.Cardinal Numbers

4.Real Numbers

5.The Axiom of Choice and Cardinal Arithmetic

6.The Axiom of Regularity

7.Filters,Ultrafilters and Boolean Algebras

8.Stationary Sets

9.Combinatorial Set Theory

10.Measurable Cardinals

11.Borel and Analytic Sets

12.Models of Set Theory

Part Ⅱ Advanced Set Theory

13.Constructible Sets

14.Forcing

15.Applications of Forcing

16.Iterated Forcing and Martin's Axiom

17.Large Cardinals

18.Large Cardinals and L

19.Iterated Ultrapowers and L[U]

20.Very Large Cardinals

……

Part Ⅲ Selected Topics

Bibliography

Notation

Name Index

Index