Set Theory: The Third Millennium Edition, revised and expanded
Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near the boundaries of current research. Students and researchers in the field will find the book invaluable both as a study material and as a desktop reference.
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Review: Set Theory: The Third Millennium Edition, Revised and ExpandedUser Review - Michael Hoffman - Goodreads
Just started reading this, I am actually surprised at the clarity of it so far. Most math books of this size tend to try and do too much and lose the forest for the trees. Read full review
Review: Set Theory: The Third Millennium Edition, Revised and ExpandedUser Review - Tony Strimple - Goodreads
Stellar coverage of the fundamentals of set theory, albeit a bit verbose. Kunen's succinct treatment, however, is still better overall. Good for a quiet weekend. I'll let you know how the sections on large cardinals pan out. Read full review