Introduction to Set Theory Revised and Expanded

Thoroughly revised updated expanded and reorganized to serve as a primary text for mathematics courses Introduction to Set Theory Third Edition covers the basics: relations functions orderings finite countable and uncountable sets and cardinal and ordinal numbers. It also provides five additional self-contained chapters consolidates the material on real numbers into a single updated chapter affording flexibility in course design supplies end-of-section problems with hints of varying degrees of difficulty includes new material on normal forms and Goodstein sequences and adds important recent ideas including filters ultrafilters closed unbounded and stationary sets and partitions.