The axiomatic theory of sets is a part of pure mathematics. It is also viewed as a foundation of mathematics. This book gives an introduction to pure set theory... » 

The axiomatic theory of sets is a part of pure mathematics. It is also viewed as a foundation of mathematics. This book gives an introduction to pure set theory through transfinite recursion and the construction of the cumulative hierarchy of sets, and also attempts to explain how mathematical objects can be modeled within the universe of sets. «