Can someone recommend a good Set Theory textbook?

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SUMMARY

The forum discussion centers on recommendations for comprehensive set theory textbooks suitable for self-study. Key suggestions include "The Joy of Sets" by Keith Devlin, known for its accessibility and depth, and "Introduction to Set Theory" by Karel Hrbacek and Thomas Jech, which is highlighted as an excellent introductory resource. Other notable mentions are "Classic Set Theory: For Guided Independent Study" by Derek Goldrei and "Naive Set Theory" by Paul Halmos, both recognized as foundational texts in the field. Additionally, the discussion references a companion exercise book, "Exercises in Set Theory" by Sigler, to enhance learning.

PREREQUISITES
  • Basic understanding of mathematical concepts
  • Familiarity with logical reasoning
  • Motivation for self-study
  • Access to hardcover textbooks
NEXT STEPS
  • Explore "The Joy of Sets" by Keith Devlin for foundational knowledge
  • Research "Introduction to Set Theory" by Karel Hrbacek and Thomas Jech for a structured approach
  • Investigate "Classic Set Theory: For Guided Independent Study" by Derek Goldrei for independent learning
  • Look into "Exercises in Set Theory" by Sigler for practical application of concepts
USEFUL FOR

Students, educators, and self-learners interested in mastering set theory, as well as anyone seeking structured resources for independent study in mathematics.

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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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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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