Can someone recommend a good Set Theory textbook?

In summary, the conversation discusses the search for a comprehensive and thorough set theory textbook that covers a lot of content and provides exercises. The person mentions the textbook "The Joy of Sets" and recommends some other options such as "Introduction to Set Theory" by Karel Hrbacek and Thomas Jech, "Classic Set Theory" by Derek Goldrei, and "Naive Set Theory" by Paul Halmos. They also mention that there is a companion exercise book for the Jech textbook.
  • #1
Aciexz
5
0
Ideally covers lots of content in depth with lots of exercises and doesn't skip anything in hardcover. The only bit of set theory I know is the most very basic that would occupy the first chapter in a book that would require it. Self study, very motivated. :) Thanks!
 
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  • #3
Searching Amazon for set theory, I found what seems to be a good list. I haven't read any of these books, but all the reviews are excellent.

Introduction to Set Theory by Karel Hrbacek and Thomas Jech
https://www.amazon.com/dp/0824779150/?tag=pfamazon01-20
http://books.google.com/books?id=Er...as+jech+jech&ei=JCjWSafoHojINc_r0JEP#PPP1,M1"
This seems like the best introduction, but I haven't looked through any of these thoroughly. Jech has also written another book on set theory. The reviews mention a companion exercise book, Exercises in Set Theory by Sigler.

Classic Set Theory: For Guided Independent Study by Derek Goldrei
https://www.amazon.com/dp/0412606100/?tag=pfamazon01-20
http://books.google.com/books?id=1d...c+Set+Theory+goldrei&ei=aSbWSZ2kKqTYMP3A4OEC"

The classic is suppose to be Naive Set Theory by Paul Halmos.
https://www.amazon.com/dp/0387900926/?tag=pfamazon01-20
http://books.google.com/books?id=x6...&dq=naive+set+theory&ei=nCrWSZvSBZqwMqSM6YED"
 
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